The equation y=464-8x describes the altitude y in feet of a plane x seconds after it begins its descent how many seconds will it take the plane to land
In 58 seconds after starting its descent, the aircraft will touch down.
The plane will land when its altitude y is zero.
So we can set y = 0 in the equation:
0 = 464 - 8x
Solving for x:
8x = 464
x = 58
Therefore, the plane will land 58 seconds after it begins its descent.
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9. Max's monthly electricity budget only allows him to use 250,50 kWh (kilowatt-hours). The cost for 1 kWh is R2,20. Calculate the cost of his electricity bill.
Using the given information, the cost of Max's electricity bill is R551.10
Calculating the cost of electricity billFrom the question, we are to calculate the cost of Max's monthly electricity bill
From the given information,
"Max's monthly electricity budget only allows him to use 250.50 kWh"
and
"The cost for 1 kWh is R2.20"
To determine the cost of Max's monthly electricity bill, we will multiply his monthly electricity budget by the cost for 1 KWh
That is,
Max's monthly electricity bill = 250.50 × R2.20
Max's monthly electricity bill = R551.10
Hence,
The cost of Max's monthly electricity bill is R551.10
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4. Solve for x ONLY *
Find the value of each variable.
Check the picture below.
a) Use the triangle below to answer questions a) and b). B 10 cm A 14 cm Determine which interior angle of the triangle is the largest,
The largest interior angle of the triangle is the angle A
Determining the largest interior angle of the triangleThe side lengths of the triangles are given as
b = 10 cm
a = 14 cm
The other side length is not given
So, we solve the question using the two side lengths
Having said that:
The general rule is that; the higher the side length, the larger the angle
14 cm is greater than 10 cm
This means that the angle A is greater than the angle B
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please help. maths trigonometry
The value of 5cos(tetha) + 4/sin(beta) is 9
What are complementary angles?Complementary angles are two angles that sum up to 90°. This means that in a right angled triangle sin( beta) is thesame as cos(90-tetha) and cos (beta) is sin(90-tetha).
Examples of complementary angles include: 30 and 60, 50 and 40 e.t.c
Therefore if tan ( tetha ) = 3/4, and tan(tetha) = opp/adj. This means opp is 3 and adj is 4
therefore hyp = √3²+4²
= √9+16 = √25
= 5
therefore cos(tetha) = 4/5
and sin beta = 4/5
therefore 5cos(tetha) + 4/sin(beta) = 5 × 4/5 +(4÷4/5)
= 4+5 = 9
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Exercise 1: Identify each triangle based on sides. (Equilateral, Isosceles or Scalene).
The triangles are classified according to their sides as:
1. equilateral 2. Scalene 3. and 4. Isosceles 5. equilateral 6. and 7. scalene triangle. 8. Isosceles 9. and 10. Equilateral
How to Identify Triangles based on their Sides?Recall the following:
A triangle is equilateral if all three sides are equal.
It is isosceles if it has two equal sides.
A triangle is scalene if all three sides are of different lengths.
1. The triangle is equilateral because all sides are equal.
2. Scalene
3. and 4. Isosceles (two sides are equal)
5. All sides are equal, so it is an equilateral triangle.
6. and 7. The three sides have different lengths, therefore, it is a scalene triangle.
8. Isosceles
9. and 10. Equilateral
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I need help with this question
The graph of the system of inequalities is on the image at the end.
How to graph the system of inequalities?Here we have the system of inequalities:
y > -2x + 9
y < 5x - 6
First we need to graph both of these lines with dashed lines (that is because the values on top of the lines are not solutions for the inequalities).
Then we need to shade the region above the first line, and the region below the second line.
Thenh the graph of the system is the one you can see in the image at the end.
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Becky worked part-time at a restaurant. The amount of money she earned for each of six weeks is shown.
$50, $82, $39, $50, $31, $70
Becky earned $23 for working a seventh week. Which statement for these seven weeks is true?
OA. The median decreases and the mean remains the same.
OB. The mean and the median both decrease.
OC. The median and the mean both remain the same.
OD. The mean decreases and the median remains the same.
Answer:
Step-by-step explanation:
To answer this question, we need to calculate the mean and median of the given data set and then see how the additional earnings affect them.
First, let's calculate the mean of the original data set:
Mean = (50 + 82 + 39 + 50 + 31 + 70) / 6 = 322 / 6 = 53.67
Next, let's calculate the median of the original data set. To do this, we need to arrange the data set in order:
31, 39, 50, 50, 70, 82
The median is the middle value, which is 50.
Now, let's add Becky's earnings of $23 to the data set:
31, 39, 50, 50, 70, 82, 23
The new data set has 7 values. Let's calculate the new mean:
Mean = (50 + 82 + 39 + 50 + 31 + 70 + 23) / 7 = 365 / 7 = 52.14
The new mean is less than the original mean, so we can eliminate options A and C.
Now let's calculate the new median. We need to arrange the data set in order:
23, 31, 39, 50, 50, 70, 82
The median is still 50.
Therefore, the answer is option D: The mean decreases and the median remains the same.
A rectangular prism is 38 centimeters long, 18 centimeters wide, and 13 centimeters high. What is the surface area of the rectangular prism?'
Answer:
53,352 cm
Step-by-step explanation:
1. The first step is to draw the rectangle draw one rectangle over the other and start labeling the sides.
2. After labeling use the rectangle prism formula: L times W times H in this case it would be 38 times 18 times 13 this is equal to 8,892.
3. From there, we know that there are six sides so we can multiply this value by 6 so it would be 8,892 times 6 = 53,352 cm.
If I made a mistake or if have any questions feel free to tell me!
-Mathematics and Science Major for Middle School Students at Harvard University
In the United States between 1910 and 1994, the amount of currency in circulation M ( in billions of dollars) can be approximated by the function M = 2.08 * (1.06) ^ t where t represents the number of years since 1910. Determine the amount of currency in circulation in the year 1980. (round to the nearest hundredth).
A.3.32
B.122.88
C.220.06
D.2.65
Answer:
B. 122.88
Step-by-step explanation:
Since t is the number of years since 1910, we can find the t value we need for the equation by subtracting 1910 from 1980:
t = 1980 - 1910 = 70
Now, we can plug in 70 for t to find the amount of currency in 1980:
[tex]M(t)=2.08(1.06)^t\\M(70)=2.08(1.06)^7^0\\M(70)=122.8779348\\M(70)=122.88[/tex]
Thus, the amount of currency in 1980 according to the model was $122.88 billion
Find the extrema of the function f(x,y)=x^2+y^2
Answer:
The function f(x,y) = x^2 + y^2 represents the equation of a paraboloid with its vertex at the origin. Since the function increases as we move away from the origin, there are no maximum points, but there is a minimum point at the origin.
To find this minimum point, we can take the partial derivatives of f(x,y) with respect to x and y, and set them equal to zero:
df/dx = 2x = 0
df/dy = 2y = 0
Solving these equations simultaneously gives us x = 0 and y = 0, which is the only critical point of the function. To determine whether this point is a minimum or maximum, we can use the second partial derivative test.
Taking the second partial derivatives, we have:
d^2f/dx^2 = 2
d^2f/dy^2 = 2
d^2f/dxdy = 0
At the point (0,0), both second partial derivatives are positive, which indicates that the point is a minimum. Therefore, the function f(x,y) = x^2 + y^2 has a minimum value of 0 at the point (0,0).
URGENT!! ILL GIVE BRAINLIEST! ALONG WITH 100 POINTS!!!!!!!!
Match the given information with the equation for the line
-5x + 3y = -12
y = 3/2 x - 8
2y-x = -4
Y= -3/4x-2
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
The equations that can be used to solve for y, the length of the room are y * (y - 5) = 750, y^2 - 5y = 750 and (y + 25)(y – 30) = 0
Which equations can be used to solve for y, the length of the room?From the question, we have the following parameters that can be used in our computation:
Area = 750
Length = y
Width = y - 5
The area is the product of the length and the width
So, we have
y * (y - 5) = 750
When expanded. we have
y^2 - 5y = 750
Lastly, we have
(y + 25)(y – 30) = 0 -- when factored
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$1500 is deposited in an account with 6%
interest rate, compounded continuously.
What is the balance after 5 years?
F = $[?]
Round to the nearest cent.
Enter
The balance after 5 years, if $1500 is deposited in an account with 6%
interest rate, compounded continuously is calculated as: $2,024.79.
How to Calculate Compound Interest?The formula for calculating the balance (F) in a continuously compounded account is:
[tex]F = Pe^{(rt)}[/tex]
where we have:
P is the principal amount,
e is the mathematical constant approximately equal to 2.71828, and
r is the interest rate, and t is the time in years.
In this case, P = $1500, r = 6%, and t = 5 years.
Plug these values into the formula and solve for F:
F = 1500e^(0.065)
F = 1500e^0.3
F = 15001.34985880758
F = $2,024.79 (rounded to the nearest cent)
Therefore, the balance after 5 years is $2,024.79.
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Which shapes have teo pairs of parallel side choose all that apply
Answer:
A parallelogram is a quadrilateral with 2 pairs of parallel sides.
Step-by-step explanation:
Mark brainliest, pls
I really need help please
Applying the Solution to a 3X3 System
At a family reunion, there only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and Grandparents were in attendance?
Show up all steps please
Using an equation, the number of children, parents, and grandparents in attendance were:
Children = 190Parents = 140Grandparents = 70.What is an equation?An equation is an algebraic statement showing the equality or equivalence of two or more mathematical expressions.
Mathematical expressions combine variables, numbers, values, and constants using mathematical operands.
The total number of people in attendance at the family reunion = 400
Let the number of grandparents = x
Let the number of parents = 2x
Let the number of children = 2x + 50
Equation:x + 2x + 2x + 50 = 400
5x = 350
x = 70
Summary of Attendance:Grandparents = 70
Parents = 140 (2 x 70)
Children = 190 (2 x 70 + 50)
Total = 400 (70 + 140 + 190)
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Eloise bought 30 pounds of sand to refill 4 sandboxes at a local park. She is going to put the
same amount of sand in each sandbox. Which statement about this situation is true?
The amount of sand Eloise will put in each sandbox is 7.5 pounds (30 divided by 4).
A pair of shoes usually sells for $67. If the shoes are 20% off, and sales tax is 5%, what is the total price of the shoes, including tax?
Answer:
If the shoes are 20% off, then the sale price of the shoes will be:
67 - 0.20 * 67 = 67 - 13.40 = 53.60
So the sale price of the shoes is $53.60.
If the sales tax is 5%, then the tax on the shoes will be:
0.05 * 53.60 = 2.68
So the tax on the shoes is $2.68.
To find the total price of the shoes including tax, we need to add the sale price of the shoes and the tax:
53.60 + 2.68 = 56.28
Therefore, the total price of the shoes, including tax, is $56.28.
Answer:
$56.28
Step-by-step explanation:
1. Find the shoes' sale price.
The shoes are 20% off. We will find the new price by first finding 20% of $67.
An easy way to do it:
10% of 67 = 6.7
20% of 67 = 13.4
to double the percentage of the first equation, double the answer.
Now that we know 20% of 67 we can take away 20% from it:
67 - 13.4 =53.6
Money uses 2 decimal points so we will add a 0 at the end of the result.
The price of the shoes with only the sale is $53.60.
2. Add sales tax
First find out 5% of $53.60.
An easy way to do it:
10% of 53.60 = 5.360
5% of 53.60 = 2.68
to half the percentage of the first equation, half the answer.
Now that we know the price of the tax we can add it to our shoe price. With the sale the shoe costs $53.60 and we will add our tax:
53.60 + 2.68 = 56.28
Add your units:
$56.28Consider the quadratic equation 4x² - 11x-3-0. Which of the following shows
this equation rewritten and ready to solve using factoring by grouping?
The factorized form of the quadratic equation is:
4(x - 3)*(x + 0.25) = 0
Which is the factorized form of the quadratic?The quadratic equation is 4x² - 11x -3 = 0
To do that, we need to find the zeros, so let's use the quadratic formula:
[tex]x = \frac{11 \pm \sqrt{(-11)^2 - 4*4*-3} }{2*4} \\\\x = \frac{11 \pm 13 }{8}[/tex]
Then the two roots are:
x = (11 + 13)/8 = 3
x = (11 - 13)/8 = -2/8 = -0.25
Then the factorized form is:
4(x - 3)*(x + 0.25) = 0
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Is it an integer?
7/10 - yes or no
-6/1 - yes or no
-30.18 - yes or no
7 - yes or no
-76 - yes or no
The numbers as an integer or not are:
7/10 - no-6/1 - yes -30.18 - no7 - yes-76 - yesCategorizing the numbers as an integer or not?From the question, we have the following parameters that can be used in our computation:
7/10 - yes or no
-6/1 - yes or no
-30.18 - yes or no
7 - yes or no
-76 - yes or no
integers are numbers without decimal point (including 0)
Using the above as a guide, we have the following:
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Find the equation of the line perpendicular to y=1/2x-1 and passes through the point (5,6)
The equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.
To find the equation of the line perpendicular to y=1/2x-1, we need to determine its slope. We can recall that the slope of a line in slope-intercept form, y = mx + b, is given by m, the coefficient of x. So in the given equation y=1/2x-1, the slope is 1/2.
The slope of a line perpendicular to this line will be the negative reciprocal of the slope, which means it will be -2. To see why this is true, remember that the product of the slopes of two perpendicular lines is always -1. So if the slope of the original line is m, the slope of the perpendicular line will be -1/m.
Now that we know the slope of the perpendicular line is -2, we can use the point-slope form of the equation of a line to find its equation. The point-slope form is:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line.
We are given a point on the perpendicular line, (5, 6), so we can substitute that into the equation and also substitute in the slope, -2:
y - 6 = -2(x - 5)
y - 6 = -2x + 10
y = -2x + 16
Hence, the equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.
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m ANGLE 1 = 3x-5 and m ANGLE 2 = 2x+7 find the values of angle 1 and 2
Answer: Angle one equals -15, and angle two equals 14, if the +7 equals a positive seven.
Step-by-step explanation:
There are more negatives than positives, so we make the ending answer negative, giving us -15. And the second one is simple multiplication, you double the 7 times two, or vice versa.
Hope this helps!
Find the volume of a right circular cone that has a height of 11.9 ft and a base with a radius of 16.3 ft. Round your answer to the nearest tenth of a cubic foot.
The volume of a right circular cone which has a height of 11.9 ft and a base with a radius of 16.3 ft as required is;
What is the volume of the right circular cone?As evident in the task content; the volume of a right circular cone a height of 11.9 ft and a base with a radius of 16.3 ft is to be determined.
Recall, the volume of the cone is;
V = (1/3) × πr²h
V = (1/3) × π × 16.3² × 11.9
V = 3310.9 ft³.
Ultimately, the volume of the right circular cone is; 3310.9 ft³.
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Answer:
3310.9
Step-by-step explanation:
What's the ordered pair so that's a solution for the given linear equation?
6x+4y=8
(-1, __ )
(__,-4)
Thanks!
The ordered pairs to a solution for the given linear equation are (-1, 3.5) and (4, -4).
To find the ordered pair that is a solution to the equation 6x + 4y = 8, we can substitute the given value of x or y and solve for the other variable.
For the first option, substituting x = -1, we get:
6(-1) + 4y = 8
-6 + 4y = 8
4y = 14
y = 3.5
So, the ordered pair (-1, 3.5) is a solution to the equation.
For the second option, substituting y = -4, we get:
6x + 4(-4) = 8
6x - 16 = 8
6x = 24
x = 4
So, the ordered pair (4, -4) is a solution to the equation.
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answer with explanation
The radius of a circle is 12 cm. Find its area nearest whole number
Answer:
452 square centimeters.
Step-by-step explanation:
To find the area of a circle, we use the formula:
A = πr^2
Where A is the area of the circle, r is the radius, and π is a mathematical constant (approx. 3.14).
Given that the radius of the circle is 12 cm, we can substitute r = 12 in the formula:
A = π(12)^2
A = 3.14 x 144
A = 452.16
Therefore, the area of the circle is approximately 452.16 square centimeters. However, we need to round the answer to the nearest whole number.
Since the decimal part of the answer is less than 0.5, we round the answer down to the nearest whole number. Therefore, the area of the circle nearest the whole number is 452 square centimeters.
HELP ME PLEASE ITS DUE TODAY!!! The following data shows the number of times a class of 7th graders ate breakfast over a 30-day period.
{4, 18, 22, 25, 15, 12, 22, 14, 19, 30, 24, 20, 21, 24, 29, 16, 20, 27, 24, 25}
Part A: Determine the best graphical representation to display the data. Explain why the type of graph you chose is an appropriate display for the data. (2 points)
Part B: Explain, in words, how to create the graphical display you chose in Part A. Be sure to include a title, axis label(s), scale for axis if needed, and a clear process of how to graph the data. (2 points)
Part A: Note that the best graphical representation to use for this kind of data is a Histogram.
Part B : Creating the historgram means you have to first chose the intervals for the data.
What is the reason for the choice above?When it comes to displaying the distribution of a set of continuous data, histograms offer an appropriate visualization method.
This display type divides the data into intervals and plots the number of observations that fall within each interval, hence providing frequency distribution information.
For instance, in creating a histogram for this particular dataset, one can choose intervals or bins with sizes e.g. 5 units covering a range between 0 and 30 before tabulating the count of observed variables in each bin and plotting these counts on the chart's vertical axis.
A histogram illustrates how often students ate breakfast within a 30-day timeframe. This frequency distribution features labeled axes, with the vertical axis representing "Frequency" and the horizontal axis depicting "Number of times students ate breakfast."
Each bar on the horizontal axis corresponds to an interval and shows its frequency on a scaled height basis.
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HOW GIAND
4. The circle graph shows the results of a middle
school survey about favorite states to visit on
vacation. If 400 students were surveyed, how
many more students favor visiting Florida than
Colorado? (Example 2)
New York
7%
Favorite State to Visit
Other
16%
North
Carolina
Colorado
Florida
38%
15% California
13%
92 more students favor visiting Florida than Colorado
How many more students favor visiting Florida than Colorado?From the question, we have the following parameters that can be used in our computation:
Students = 400
Florida = 38%
Colorado = 15%
The percentage difference is
Difference = 38% - 15%
So, we have
Difference = 23%
This means that
Students = 23% * 400
Evaluate
Students = 92
Hence, the number of students is 92
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Help me please. !! Asap
Answer:
36cm
Step-by-step explanation:
The lightning bolt on the right is 3 times bigger than the one on the left. You can tell this because that leftside, vertical-ish piece (on both of them) is labelled. The small one is 25cm and the big one is 75cm.
25 × 3 = 75
The bottom right side is 12cm, so times by 3 to find the bigger one that matches.
12 × 3 = 36
16u-5u+18=3u-14???????
Answer:
u = -4
Step-by-step explanation:
You want the solution to the equation 16u -5u +18 = 3u -14.
SimplifyThe equation can be simplified by combining like terms:
11u +18 = 3u -14
SolutionAdding (-18-3u) to both sides, we have ...
8u = -32
u = -32/8 = -4 . . . . . . divide by the coefficient of u
The solution is u = -4.