Answer:
Step-by-step explanation:
A = x² - 5x - 14
Factor using AC method. Here, a = 1, b = -5, and c = -14.
ac = 1×-14 = -14
Factors of -14 that add up to -5 are -7 and 2.
A = (x - 7)(x + 2)
So the dimensions are x-7 and x+2.
The dimensions of the rectangle represented by the quadratic equation x² - 5x - 14 could be 7 and -2, but in a physical context we only consider the positive value 7.
Explanation:The area of a rectangle is given by multiplying its length and width. In this case, the area is expressed as a quadratic equation, x² - 5x - 14 = 0. Quadratic equations typically represent parabolas when graphed on a two-dimensional plot, but in this case, we're looking for linear dimensions of a rectangle. To find the dimensions of the rectangle, we need to factor this equation.
The factors of this quadratic equation are (x - 7) and (x + 2). Therefore, the two dimensions of the rectangle could be 7 and -2. However, in real-world scenarios, dimensions are often positive values due to physical constraints (you can't have a rectangle with negative length or width). So, normally, we would only consider the dimension of 7 (from the factor x - 7) as the real solution to this problem.
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math question uwu ! help pls c:
Answer:
C, C
Step-by-step explanation:
1. The opposite sides are equal length and parallel, so this is a parallelogram.
Answer C.
2. The length of the midsegment of a trapezoid is the average of the lengths of its top and bottom.
9.2 = 1/2 (12.6 + x)
18.4 = 12.6 + x
x = 5.8
Answer C.
The first one is a parallelogram because it has 2 sets of congruent sides
The second one is (C) AB=5.8 cm
WILL GIVE BRAINLEST!! There are (49)5⋅ 40 books at the library. What is the total number of books at the library? (4 points)
Select one:
a. 49
b. 445
c. 446
d. 1
I agree with ZOMBIE0O That the question is somewhat confusing. I see two options as being possible, depending on the nature of the question. The first option, 49, is a possibility. This would be the answer if the second two numbers were insignificant to the number of books (for example, if it were describing the dimensions of the books as 5•40). The second option is also a possibility, if the question is wanting you to add (49•5)+(5•40).
Answer: The first one is incorect. It may be the second one
Step-by-step explanation:
Five spheres are being painted for a display at a store. If the diameter of each sphere is
7 centimeters, which value is closest to the total surface area that will be painted?
Using the surface area of a sphere, it is found that the total surface area that will be painted is of 769.69 cm².
What is the surface area of a sphere?The surface area of a sphere of radius r is given by:
[tex]S = 4\pi r^2[/tex]
In this problem, we have five spheres, with radius(half the diameter) r = 3.5 cm, hence the total surface area in square centimeters is given by:
[tex]S_t = 5 \times 4\pi \times 3.5^2 = 769.69[/tex]
The total surface area that will be painted is of 769.69 cm².
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Need serious help with these definitions please!!
Answer:
a) Ellipse
b) Sphere
c) Great circle
d) Triangle
e) Circle
Step-by-step explanation:
A) Diagonal cross section of cylinder
Ellipse
B) Shape created when a semi circle is rotated about y axis
Sphere
C) Diagonal cross section through the widest part of sphere
Great Circle
D) Perpendicular cross section of cone
Triangle
E) Cross section parallel to the base of cone
Circle.
If f(x) = -2x^2 + x - 5, what is f(3)?
Answer:
-20
Step-by-step explanation:
-2(3^2)+3-5
-2(9)+3-5
-18+3-5
-18-2
-20
Answer:
-20
Step-by-step explanation:
The guy before me said so
find the first five terms of each arithmetetic sequence describe a1 = -12 d = 5
Answer:
- 12, - 7, - 2, 3, 8
Step-by-step explanation:
The general terms of an arithmetic sequence are
a, a + d, a + 2d + ....... + a + (n - 1 )d
To obtain consecutive terms in the sequence add d = 5 to the previous term
[tex]a_{1}[/tex] = - 12
[tex]a_{2}[/tex] = - 12 + 5 = - 7
[tex]a_{3}[/tex] = - 7 + 5 = - 2
[tex]a_{4}[/tex] = - 2 + 5 = 3
[tex]a_{5}[/tex] = 3 + 5 = 8
three vertices of a rectangle are located at (5,3), (7,1), and (1,-1). what are the coordinates of the fourth vertex?
I first plotted the three points and from from their position it was clear which pairs to join to start a rectangle.
At this point you need to check to make sure the angle at B is a right angle. Find the slope of the line segments AB and BC and check that the product of the slopes is -1.
From the diagram you can now see where the fourth point D has to be. If AB and CD are parallel then D must be 3 units to the left of C and 2 units above C. Find the coordinates of D and then check by finding the slopes of CD and DA and showing that the angle at D is a right angle.
I hope this helps
Answer:(3,-3)
Step-by-step explanation:
I need help on both please
Answer:
12.00, 37.70
Step-by-step explanation:
Area of a circle is:
A = πr²
We know A = 113.1 ft², so:
113.1 = πr²
r² = 36.00
r = 6.00
The diameter is double the radius, so:
d = 2r
d = 12.00
The diameter is 12 feet.
The circumference is:
C = 2πr
We found that r = 6 ft, so:
C = 2π (6)
C = 37.70
The circumference is 37.70 ft.
Suppose 67% of all teenagers own a laptop and 29% of all teenagers own a laptop and a tablet. What is the
probability that a teenager owns a tablet given that the teenager owns a laptop?
19%
38%
43%
Find the reference angle of -150 degrees
Final answer:
The reference angle of -150 degrees is found by first determining the positive angle in standard position by adding 180 degrees, resulting in 330 degrees. Since 330 degrees is in the fourth quadrant, we subtract it from 360 degrees to get the reference angle, which is 30 degrees.
Explanation:
To find the reference angle of -150 degrees, we must determine the smallest angle between the terminal side of the given angle and the x-axis. A reference angle is always positive and measured between 0 to 90 degrees. Since -150 degrees is in the third quadrant when considering standard position in a coordinate system, where angles are measured counterclockwise from the positive x-axis, you add 180 degrees to determine its corresponding positive angle in the second quadrant. Therefore, the reference angle of -150 degrees is:
180° - (-150°) = 180° + 150° = 330°
Since 330 degrees is in the fourth quadrant, to find the reference angle, we subtract it from 360 degrees:
360° - 330° = 30°
Thus, the reference angle for -150 degrees is 30 degrees.
please help ASAP! will give brainlist.
The Empire State building is 1250 feet tall. At 3:00 PM, Pablo stands next to the building and has an 8 foot shadow. If he is 6 feet tall, how long is the Empire State building‘s shadow at 3:00 PM.
A. 166.67 feet.
B. 16.67 feet.
C. 1666.67 feet.
C. 1.67 feet.
Answer:
C
Step-by-step explanation:
It would have to be C because that is the only one longer than the height of the Empire State Building and you can see it has to be larger by the 8:6 ratio between Pablo's shadow and Pablo's height
Which number replaces the box to make this number sentence true?
7 × (5 – 2) = (7 × 5) – ( × 2)
Let's assume x is the blank.
The equation is therefore:
[tex]
7\times(5-2)=(7\times5)-(x\times2) \\
7\times3=35-2x \\
21=35-2x \\
21-35=-2x \\
-14=-2x\Longrightarrow x=\frac{-14}{-2}=\boxed{7}
[/tex]
Answer:
Step-by-step explanation:
7x(3) = 21
(7x5) - (7x2) = 21
35-14=21
Answer is (7 x 2)or 7
Find X. Assume that any segment that appears to be tangent is tangent
Check the picture below.
The answer above is corrected
Solve the equation below for x.
-1/2 (3x-4)=11
Answer:
x= −6
Step-by-step explanation:
you are supposed to isolate the variable by dividing both sides by the factor that do not contain the variable
ANSWER
C 6
EXPLANATION
The given equation is
[tex] - \frac{1}{2} (3x - 4) = 11[/tex]
Multiply through by -2 to get:
[tex] - \frac{1}{2} \times - 2(3x - 4) = 11 \times - 2[/tex]
[tex]3x - 4 = - 22[/tex]
Add 4 to both sides of the equation:
[tex]3x = - 22 + 4[/tex]
[tex]3x = - 18[/tex]
Divide both sides by 3.
[tex]x= - \frac{18}{3} [/tex]
This simplifies to
[tex]x = - 6[/tex]
The correct answer is C
Paul's car is 12 feet long. He is making a model of his car that is 1/7 the actual size. What is the length of the model?
Answer:
2 feet
Step-by-step explanation:
The model is the actual size. This means that for every 6 feet measured on the actual car, the model will span 1 foot.
Note that the model length is in the numerator and the actual length is in the denominator.
Thus, if the car is 12 feet long and L represents the length of the model, then write the ratio as .
Set the two ratios equal to each other to obtain the proportion below.
The length of the model is given below.
Therefore, the length of the model is feet.
The question is about scale conversion in mathematics. Given that Paul's full-sized car is 12 feet long and his model is 1/7th the size of the actual car, the length of the model car would be about 1.71 feet.
Explanation:The question involves a scale conversion in mathematics. If Paul's car is 12 feet long in real life, and his model is going to be 1/7th the size of the actual car, we need to determine the length of the model using this scaling factor.
To find out the length of the model, you multiply the actual length of the car by the scale factor, which in this case is 1/7. So, the calculation would be as follows:
12 feet (length of the car) * 1/7 (scale factor) = 1.71 feet (approx)
Therefore, the length of Paul's model car would be approximately 1.71 feet.
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Someone Please help me
Hello There!
Area = ½( 8 * 6) = 24
Answer:
Step-by-step explanation:
Answer: A=24
To figure this out multiply 8 and 6 to get 48.
A triangle is half of a square.
Divide 48 by 2 to get 24.
:)
There are 10 fish tanks at a pet store. The data shows the number of fish in each tank. 30,32,41,38,42,30,35,38,40,45. Create a histogram of this data.
The histogram displays the distribution of fish counts in 10 tanks, ranging from 30 to 45 fish, with varying frequencies in each interval.
To create a histogram of the given data showing the number of fish in each tank, we'll first need to organize the data into intervals or bins and then count the frequency of fish counts falling within each interval. Here's how we can do it:
1. Determine the intervals or bins to represent the range of fish counts.
2. Count the frequency of fish counts falling within each interval.
3. Draw the histogram with the intervals on the x-axis and the frequency of fish counts on the y-axis.
Given the data: 30, 32, 41, 38, 42, 30, 35, 38, 40, 45
Let's choose intervals of width 5 starting from 25 to 50. Then, we count how many fish counts fall within each interval:
Interval 25-29: 0
Interval 30-34: 3 (30, 32, 30)
Interval 35-39: 3 (38, 35, 38)
Interval 40-44: 3 (41, 42, 40)
Interval 45-49: 1 (45)
Now, we can draw the histogram:
```
Frequency
| *
| * *
| * * * *
| * * * *
|_____________________
25 30 35 40 45
```
Each asterisk (*) represents one tank with the corresponding number of fish. The x-axis represents the intervals, and the y-axis represents the frequency of fish counts.
This histogram visually represents the distribution of fish counts in the 10 fish tanks at the pet store.
the diagonals of a rhombus are 8 and 10 . the area of the rhombus is
20
40
80
Answer:
Area = 40
Step-by-step explanation:
The area of a rhombus is
Area = a*b/2
Where a and b are the lengths of the diagonals.
Area = 8 * 10/2
Area = 40
Answer:
40
Step-by-step explanation:
In a rhombus the two diagonals intersect perpendicularly. So you can see a rhombus as the union of two triangles whose base is one of the diagonals of the rhombus and whose height is the half of the other diagonal.
Therfor you can calculate the area of the rhombus calculating the area of the two triangles that are the same.
In this case the area of each triangle must be [tex]\frac{4\times 10}{2}= 20[/tex] (if you take the 10-lenght-side as the basis of the triangles).
Hence the area of the rhombus is 40 because is the double of the area of each triangle.
which sequence of transformations on preimage ABC will NOT produce the image A’B’C
A. reflection across the x-axis followed by a reflection across the y-axis
B. reflection across the y-axis followed by a rotation 90° clockwise about the origin
C. reflection across the line y= -x followed by a rotation 180° counterclockwise about the origin
D. rotation 180° clockwise about the origin followed by a reflection across the line y= -x
E. reflection across the line y = x
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
of a group of 200 workers, 15 are chosen to participate in a survey about the number of miles they drive to work each week
Answer:185 workers left
Step-by-step explanation:
Answer:
the answer is 185 workers left
Step-by-step explanation:
there are 200 workers but 15 were chosen so you have to subtract 200-15 whis is 185
6. The Grand Theater has 13,451 seats. If 15,340 people need to be seated in the theater for a music concert, write and solve
an equation to find the number of seats that need to be added to the theater to accommodate all the people.
Hey There!
To find how many seats are needed to be added, you need to subtract 15,340 by 13,451. You need to find the difference between the seats you need and the seats you have. So...
15,340-13,451= 1,889
You need to add 1,889 more seats.
Hope This helped!
Godspeed,
SongBird
Answer:
The required equation is 13451 + x = 15340,
1,889 seats are needed.
Step-by-step explanation:
Given,
Original number of seats = 13,451,
Also, the number of people who needed to be seated = 15,340,
Let x seats were added,
So, the new number of seats = 13451 + x
Thus, 15,340 will get the seat,
If total seats = 15340
⇒ 13451 + x = 15340
Which is the required equation,
Subtract 13451 on both sides,
We get,
x = 1889
Hence, 1889 seats are needed to accommodate all the people.
Suppose the volume of a cylinder is 169.65 ft cubes and the height is twice the radius what is the radius of the cylinder.
Answer:
The radius of the cylinder is [tex]r=3\ ft[/tex]
Step-by-step explanation:
we know that
The volume of the cylinder is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]V=169.65\ ft^{3}[/tex]
[tex]h=2r\ ft[/tex]
assume
[tex]\pi=3.14[/tex]
substitute the values and solve for r
[tex]169.65=(3.14)r^{2} (2r)[/tex]
[tex]169.65=(6.28)r^{3}[/tex]
[tex]r^{3}=169.65/(6.28)[/tex]
[tex]r=3\ ft[/tex]
15,000 blue trout were released into the Meherrin River for a scientific study. The function, f(x) = 15,000( _ 9 8 ) x , represents the number of blue trout after x years. In 5 years, what happens to the population?
Final answer:
The population of 15,000 blue trout is expected to increase to approximately 36,621 individuals after 5 years using the given growth function.
Explanation:
The question asks what happens to the population of 15,000 blue trout released into the Meherrin River after 5 years, given the function f(x) = 15,000(9/8)^x. To find out the population after 5 years, we substitute x = 5 into the function. The calculation proceeds as follows:
f(5) = 15,000 * (9/8)^5= 15,000 * (2.44140625)= 36,621.09375Therefore, after 5 years, the blue trout population is expected to increase to approximately 36,621 individuals, assuming ideal conditions without factors like predation or disease significantly impacting the population.
Please help I need answer asap
sure dm me and i will tell you all about it i actually still do that and it seems very easy to me
Answer:
Final answer is n = 3.
Step-by-step explanation:
Given equation is [tex]\frac{2}{n}=\frac{2}{3}[/tex]. Now we solve that equation for n then select best matching choice from the given choices.
[tex]\frac{2}{n}=\frac{2}{3}[/tex]
cross multiply
[tex]2 \times n = 2 \times 3[/tex]
[tex]2 \times n = 6[/tex]
[tex] \frac{2 \times n}{2} = \frac{6}{2}[/tex]
[tex] n = 3[/tex]
Hence final answer is n = 3.
Hence correct choice is C.
How many ways can 5 basketball players be listed in order in a program?
1
120
720
24
There are 120 ways we can list 5 basketball players in order in a program.
What are permutations?Permutations are the selection in order from a given set of values. Here, the order is of importance.
We can find the number of ways of listing the basketball players below:There are five basketball players.
We are asked to find the number of ways in which they can be listed in order.
We can use permutations to find the answer.
We can find the number of ways in which the basketball players can be listed in order as follows:
Total number of ways = 5*4*3*2*1
= 20*3*2*1
= 60*2*1
= 120 ways.
The number of ways in which the basketball players can be listed in order is found. The basketball ball can be listed in 120 ways.
Therefore, we have found that there are 120 ways we can list 5 basketball players in order in a program.
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which best compares the pair of intersecting rays with the angle
A. The rays and angle have two end points.
B. The rays have a number of points lying on them, and the angle has only one point lying on it.
C. The rays extend infinitely, and the angle is made by rays which have a common endpoint
D. The rays and the angle have their lines extending in opposite directions
Answer:
C)The rays extend infinitely, and the angle is made by rays which have a common endpoint
Step-by-step explanation:
A ray is a line segment having one end point while extending in the other/opposite direction
An angle is made by two lines(rays) with common end point (vertex)
So when an angle is formed by the pair of intersecting rays the following options are ruled out
A) rays cannot have two end points
B) As rays extends infinitely in one direction, so having number of points is wrong
D)angles do not have lines
the following is best explanation is C
The rays extend infinitely, and the angle is made by rays which have a common endpoint !
Answer:
I'm pretty sure that the answer is C. The rays extend infinitely, and the angle is made by rays which have a common endpoint! It seems like the most correct answer of them all!
What is the value of the expression below?
96 divided (-16)
Choices:
a.) -8
b.) 6
c.) -6
d.) 8
Please help me!!!
-6 because 96 divided by 16 is, 6. But since it's -16 it would be a negative, making the answer -6!
Answer:
this is my answer -6 or 16 whatever question you had
Step-by-step explanation:
The function f(x) = –12x + 144,000 is used to model the number of granola bars in stock depending on the number of boxes, x, one machine packages if the machine starts with 144,000 granola bars. The mathematical range for the function is the set of real numbers.
Which statement describes the limitation for the reasonable range compared to the mathematical range?
The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 12,000.
The reasonable range is limited to the rational numbers when 0 ≤ y ≤ 12,000.
The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.
The reasonable range is limited to the rational numbers when 0 ≤ y ≤ 144,000.
Answer:
The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.
Step-by-step explanation:
Notice that even though the range of the function is mathematically defined for all real numbers, in the real world you can't have more than 144,000 granola bars; that occurs when you have no boxes, or in other words, when x = 0
On the other hand, in the real word you can't have a negative quantity of a thing (you can't have minus 2 popsicles, for example). Given that granola bars are things, you must have at least 0 granola bars; in other words the quantity of granola bars must be greater or equal zero.
We know that in the real word you cant have more than 144,000 granola bars, and you must have at least 0 granola bars; therefore, the reasonable range of the function f(x) = –12x + 144,000 is 0 ≤ y ≤ 144,000.
Since we are talking of full granola bars here, the range is limited to whole numbers (whole granola bars).
We can conclude that the correct answer is: The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.
Final answer:
The accurate statement is: The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.
Explanation:
The question asks to identify the limitation of the reasonable range compared to the mathematical range for a function modelling the stock of granola bars, f(x) = – 12x + 144,000, based on the number of boxes, x, packaged by a machine.
The mathematical range could theoretically be any real number, but practically, since we are counting discrete items (granola bars), the reasonable range should be limited to whole numbers reflecting the actual possible quantities of granola bars in stock.
Additionally, since the stock cannot be negative and is started with 144,000 granola bars, the stock can range only down to 0 but not below, thus making the reasonable range from 0 to 144,000.
Therefore, the accurate statement is: The reasonable range is limited to the whole numbers when 0 ≤ y ≤ 144,000.
choose all that applies!!! thanks
Answer:
None of the above
Step-by-step explanation:
2 r + ( t + r )
2 r + t + r
3 r + t
Find the equation for the volume of a cone and the volume of a cylinder; both with a base diameter of 30 inches and a height of 7 inches.
Answer:
Cone= [tex]\frac{1}{3} *pi*r^{2}*h[/tex] Cylinder= [tex]pi*r^{2} * h[/tex]
Step-by-step explanation:
Cone volume= 1/3 × π × r²×h Cylinder volume= π × r² × h
1/3 × π × 15²×7 π × 15² × 7
1/3 × π × 225×7 π × 225 × 7
525π 1575π