4 ft or 5 ft
i think thats right
Answer:
The width can be 5 ft or the width can be 4 ft
Step-by-step explanation:
Perimeter = 2 (l+w) for a rectangle
Area = l*w for a rectangle
Using perimeter
18 = 2(l+w)
Divide by 2
18/2 = 2/2 (l+w)
9 = l+w
Solving for l
9-w = l
Using area
20 = l*w
Substituing for l
20 = (9-w) * w
20 = 9w - w^2
Subtract 20 from each side
20-20 =-w^2 +9w -20
0 = -w^2 +9w -20
Multiply by -1
0 = w^2 -9w+20
Factor
0 = (w-5) (w-4)
Using the zero product property
w-5 = 0 w-4 = 0
w= 5 w=4
The width can be 5 ft or the width can be 4 ft
1/x - 1/x-2 = 3 where x not equal to 0 and x not equal to 2
(Chapter 3 quadratic equation class 10)
Answer: The answer is no solution, since any number plugged into that equation wouldn't work out, because 1/x - 1/x cancels out itself, so therefore there is NO SOLUTION. :)
Step-by-step explanation:
sin210° = _____
a)-sin210°
b)-sin30°
c)sin(-210°)
d)sin30°
Answer:
Option B (-sin 30°)
Step-by-step explanation:
Sine function is one of the trigonometric functions. Sine function is regarded as an odd function, which means that f(-x) = - f(x). Also, sine function is positive in the first two quadrants and negative in the last two quadrants. 210° lies in the third quadrant since 210° is greater than 180°. Therefore, the basic angle or the reference angle of 210° is 210° - 180° = 30°. We already know that sin 30° = 0.5. This means that whenever the angle is between 180° and 360°, the output of the sine function is negative. Therefore, sin 210° = -0.5. Only answer B is the correct option since -sin 30° = -0.5.
50 POINTS!!! pls help ASAP!!! 12. Building codes regulate the steepness of stairs. Homes must have steps that are at least 13 inches wide for each 8 inches that they rise. a. Discuss how to find the slope of the stairs. b. Describe how changing the width or height affects the steepness of the stairs.
Answer:
Slope tells you about the steepness of a line. It can is the ration of vertical change to horizontal change and you can solve this by using the slope formula:
[tex]m=\dfrac{\triangle y}{\triangle x}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
a. So in your case, starting from the bottom, the slope is:
[tex]m=\dfrac{8}{13}[/tex]
If you want to use coordinates, you can think of the first point (bottom of the stairs} would be at the point of origin (0,0). The next point would be at the top of the first stair 13 inches wide (horizontal or x) and 8 inches high (vertical or y)
So the coordinates of the two points would be:
(0,0) and (13, 8)
Using the formula we would have:
[tex]m=\dfrac{\triangle y}{\triangle x}=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{8-0}{13-0}=\dfrac{8}{13}[/tex]
b. Looking at the answer above, you can see that the slope with increase if the vertical change is greater, so if you increase the height of the stairs, the stair would be steeper. The opposite is true if you would increase the width.
However, if you proportionally increase the width and the height, then the slope will remain the same.
Attached is how the graph of this would look like.
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
Among the options, A (h(2) = 16) is the statement that fits within the given range and domain for the function h(x) and could be true.
The statement that is true of the domain
Given:
h(8) = 19
h(-2) = 2
Domain: -3 ≤ x ≤ 11
Range: 1 ≤ h(x) ≤ 25
A. h(2) = 16 - This value doesn't conflict with the range (1 ≤ h(x) ≤ 25) and fits within the given function's range and domain. It's a possible value for h(2) based on the constraints given.
B. h(8) = 21 - This contradicts the information provided (h(8) = 19).
C. f(13) = 18 - This option refers to a value outside the domain specified for h(x).
D. h(-3) = -1 - This value is outside the range provided for h(x) as the range starts from 1.
So, among the options, A (h(2) = 16) is the statement that fits within the given range and domain for the function h(x) and could be true.
Given that a function, h, has a domain of -3≤ x≤ 11 and a range of 1≤ h(x)≤ 25 and that h(8)=19 and h(-2)=2 , select the statement that could be true for h. A h(2)=16 B. h(8)=21 C. f(13)=18 D. h(-3)=-1
what is the factorization of the trinomial below -x^2-2x+48
Answer:
Step-by-step explanation:
In some fashion or another, the two factors are 6 and 8. But how are they put together?
-(x^2 + 2x - 48)
The 8 will be plus. That would make 2x plus. It should factor like this.
-(x + 8)(x - 6)
To check it, we should find the roots and post the graph. The graph will be upside down. That's what the minus outside the brackets does.
x + 8= 0
x = - 8
=======
x - 6 = 0
x - 6 + 6 = 6
x = 6
Please Help Finial Test tomorrow Thank you!
Answer:
The area is 522.935 square inches.
Step-by-step explanation:
A trapezoid's area is calculated as follows: h(b1+b2)/2
Plugging numbers in gives 34.3+12.6=46.9
so now all that's left is to multiply 22.3 and 46.9, and divide by 2.
This gives 522.935
Hope this helps!
Answer:
522.935 square inches
Step-by-step explanation:
OPTION 1:
First, the area of the rectangle in the center is 12.6*22.3 (w*l or b*h), or 280.92
Second, the area of the two triangles on the side are right triangles since we made a rectangle in the center, so the area of that is (base2 - base1)*h*1/2, or (34.3-12.6)*22.3*1/2=21.7*22.3*1/2=483.91*1/2=241.955
Therefore, the area is 280.98+241.955 or 522.935 square inches
OPTION 2:
Using the formula to find the area of a trapezoid, you would do ((base1 + base2)/2)*h, or ((12.6+34.3)/2)*22.3 which is 522.935 square inches
I need help please!
Answer:
0.0466
Step-by-step explanation:
For a random variable X which follows a binomial distribution:
[tex]n = 7\\p = 0.35[/tex]
Thus,
[tex]P(X=5)={7\choose5}(0.35)^5(1-0.35)^{7-5}\\P(X=5)={7\choose5}(0.35)^5(0.65)^{2}\\P(X=5)=0.0466[/tex]
A string of decorative lights is 24 feet long. The first light on the string is 16 inches from the plug. The lights on the string are spaced 4 inches apart.
How many lights are there on the string?
In older series light strings, if a bulb burns out, the string goes dark as the circuit is broken, with each bulb operating at 3 V normally. In modern strings with short-circuiting bulbs, the rest of the lights remain lit and each bulb would then operate at approximately 3.08 V if one burns out.
When strings of holiday lights are wired in series, the entire circuit is affected if one bulb fails. In older versions, if a bulb burns out, it acts like an open switch, causing the entire string of lights to go out as the electrical circuit is broken. Each of the 40 identical bulbs in a string operating on 120 V would have a normal operating voltage of 120 V / 40 = 3 V per bulb.
In newer versions of holiday lights, where bulbs short circuit when they burn out, the string continues to operate even when one bulb fails. However, the total voltage of the string remains the same, so the voltage gets redistributed among the remaining bulbs. If one bulb out of 40 burns out, you then have 39 bulbs through which the 120 V is distributed, giving an operating voltage of 120 V / 39 ≈ 3.08 V per bulb.
When rolling two dice , there are blank different ways to roll at least one 4.
Answer:
[tex]3[/tex]
Step-by-step explanation:
These [tex]3[/tex] ways are:
The first die showing a 4 and the second die showing a different numberThe second die showing a 4 and the first die showing a different numberBoth dice showing 4sAnswer:
11
Step-by-step explanation:
At least one means 1 being 4 or 2 of them being 4 this in case.
You could set a table:
1| 1 2 3 4 5 6
2| 1 2 3 4 5 6
3| 1 2 3 4 5 6
4| 1 2 3 4 5 6
5| 1 2 3 4 5 6
6| 1 2 3 4 5 6
There are 11 different ways to get at least one 4.
See this:
(first dice, second dice)
(1,4)
(2,4)
(3,4)
(4,4)
(4,5)
(4,6)
But there is also
(4,1)
(4,2)
(4,3)
(4,4) already counted earlier so don't count this one again
(4,5)
(4,6)
UNUL ESCREView
Acuve
Planes s and Rboth intersect plane T.
Which statements are true based on the diagram? Check
all that apply.
O Planes contains points B and E.
The line containing points A and B lies entirely in plane T.
Line v intersects lines x and y at the same point.
Line z intersects plane s at point C
O Planes Rand Tintersect at line y.
Find the median:
3, 5, 7, 4, 3, 1
=========================================
Explanation:
Start by sorting the values from smallest to largest. This is known as ascending order. The original set {3, 5, 7, 4, 3, 1} will sort to {1, 3, 3, 4, 5, 7}
After the values are sorted, we will look at the middle most value to find the median. Because there are six items in this data set, the median number is between slot 3 and slot 4. Note how the sorted data set breaks down into
{1, 3, 3} and {4, 5, 7}
we see that 3 and 4 are tied for the middle most, so the median must be 3.5 which is halfway between 3 and 4.
Hello There!
Let’s first remember that the median is the middle number in an ordered set of data.
Our data set is
1,3,3,4,5,7
Since there are two numbers in the middle, we have to add up our two numbers in the middle which are 4 and 3 so together that gives us a sum of 7 and then we divide by 2 which we get a quotient of 3.5.
Which is equivalent?
Answer:
the answer is -8
Step-by-step explanation:
Kelli started keeping a reading log. the first night, she read 77 pages. Every day she reads 35 pages more. If this pattern continue, how many pages will she have read by days 53?
Final answer:
To find out how many pages Kelli will have read by day 53, we need to calculate how many pages she reads each day and add them up.
Explanation:
To find out how many pages Kelli will have read by day 53, we need to calculate how many pages she reads each day and add them up. On the first night, Kelli read 77 pages. Every day after that, she reads 35 pages more than the previous day. So each day, the number of pages she reads is increasing by 35. To find out how many pages she will have read by day 53, we can use the formula:
Total Pages Read = (First Night's Pages) + (35 * (Total Number of Days - 1))
Plugging in the values, we have:
Total Pages Read = 77 + (35 * (53 - 1))
Total Pages Read = 77 + (35 * 52)
Total Pages Read = 77 + 1820
Total Pages Read = 1897
Point E is the midpoint of AB and point F is the midpoint of CD .
Which statements about the figure must be true? Check all that apply.
AB is bisected by . CD
CD is bisected by . AB
AE = 1/2 AB
EF = 1/2 ED
FD= EB
CE + EF = FD
Answer:
# AB is bisected by CD
# AE = 1/2 AB
# CE + EF = FD
Step-by-step explanation:
* Lets talk about the mid point
- The mid-point of a segment is divided the segment into two
equal parts
- The figure has line segment AB
- E is the mid-point of AB
∴ E divides the line segment AB into two equal parts
∴ AE = EB
∴ AE = 1/2 AB ⇒ (1)
- Any line passes through the point E will bisects the line segment AB
∴ AB is bisected by CD ⇒ (2)
∵ F is the mid-point of CD
∴ F divides the line segment CD into two equal parts
∴ CF = FD
∵ Point E lies on CF
∴ CE + EF = CF
∵ CF = FD
∴ CE + EF = FD ⇒ (3)
* There are three statements must be true (1) , (2) , (3)
# AB is bisected by CD
# AE = 1/2 AB
# CE + EF = FD
Answer:1,3,5
Step-by-step explanation:
Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 years ago.
If Jenna’s age is x, which equation represents the situation? How many solutions does the equation have? (Only 1 choice of answer)
A.
x + 5 = (5 − x) − 5, which has one solution
B.
x + 5 = (x + 5) − 5, which has infinitely many solutions
C.
x + 5 = (x + 5) − 5, which has no solution
D.
x + 5 = (5 − x) − 5, which has infinitely many solutions
E.
(x + 5) + 5 = (x + 5) + 5, which has infinitely many solutions
Answer:
x + 5 = (x + 5) - 5, which has no solution ⇒ answer C
Step-by-step explanation:
* Lets study the situation in the problem
- Jessica is 5 years older than her sister Jenna
- After five years Jenna's age will be as old as Jessica was five years ago
- Jenna's age now is x
* Lets change all information above to equation
∵ Janna's age now is x
∵ Jessica is 5 years old than Janna
∴ The age of Jessica now is x + 5
- After 5 years Janna's age will be add by 5 years
∵ Her age now is x
∴ Her age after 5 years will be x + 5
- From 5 years ago Jessica's age was her age now mins 5 years
∵ Her age now is x + 5
∴ Her age from 5 years ago is (x + 5) - 5
∵ Janna's age after 5 years = Jessica age from 5 years ago
∴ x + 5 = (x + 5) - 5
- Lets solve the equation to know how many solution
∵ x + 5 = x + 5 - 5 ⇒ add the like terms
∴ x + 5 = x ⇒ subtract x from both sides
∴ 5 = 0
- But 5 ≠ 0, the two sides of the equation not equal each other
∴ There is no solution for this equation
* The equation is x + 5 = (x + 5) - 5, which has no solution
Answer:
C x + 5 =(5 - x) - 5
Step-by-step explanation:
There are 25 students in a class. Sixteen of those students are boys. What percent of the class are girls?
The percent of girls in the class is %
Hello There!
WHAT WE KNOW 25 students in a class and 16 out of the 25 students in the class are girls. There are 9 boys in the class because "25-9=16"
HOW TO SOLVE If we know that 9 out of the 25 students in the class are girls, we can represent it as the fraction [tex]\frac{9}{25}[/tex]. Next, we divide 35 by 9 to get a quotient of 0.36 and then multiply by 100 to get our percent of girls in the class which is 36%
HAVE A GREAT DAY!
To find the percentage amount of girls in the class, we need to first find the amount of girls in the class.
Since 16 of the 25 students are boys, the rest must be girls. Subtract 16 from 25 to find the amount of girls in class.
25-16=9
Now, to find out what percent of 25 9 is, divide 9 by 25.
9/25= .36
The percentage of girls in the class was 36%.
Hope this helps!
Identify the type of transformation in the following graphic and describe the change.
Answer:
Translation, five units to the left.
Step-by-step explanation:
Point A is moved to the left to become A'.
Similarly, Points M, H, and T have moved to the left to become M', H', and T', respectively.
This type of transformation, in which all the points in a figure move in the same direction and by the same amount, is called a translation (moving sideways).
Each point has moved five units to the left.
Step-by-step explanation:
Please mark brainliest and have a great day!
The figure HMAT is translated by 5 units towards the left side to form H'M'A'T'.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The graph is given below.
The figure HMAT is translated by 5 units towards the left side to form H'M'A'T'.
More about the transformation of a point link is given below.
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Archie can buy 5 buckets of popcorn and 2 drinks for $16.25. Terry can buy 3 buckets of popcorn and 1 drinks for $9.50. Assume that all buckets of popcorn are the same price and all drinks are the same price.
Answer:
The cost of one bucket of popcorn is $2.75
The cost of one drink is $1.25
Step-by-step explanation:
Let
x ----> the cost of one bucket of popcorn
y ----> the cost of one drink
we know that
5x+2y=16.25 -----> equation A
3x+y=9.50
y=9.50-3x ----> equation B
Solve the system of equations by substitution
Substitute equation B in equation A and solve for x
5x+2(9.50-3x)=16.25
5x+19-6x=16.25
6x-5x=19-16.25
x=$2.75
Find the value of y
y=9.50-3x
y=9.50-3(2.75)=$1.25
therefore
The cost of one bucket of popcorn is $2.75
The cost of one drink is $1.25
Does the data set display exponential behavior?
X 1234
Y1234
Yes or no
Yes. Any number has exponent 1 we just don't write it. Take for example number 4.
[tex]4\Longleftrightarrow4^{1}[/tex]
Which means every number has exponential behaviour.
The answer is Yes.
Hope this helps.
r3t40
If f(x) = -4x+3 and g(x) = 3x^2+2x-4 find (f+g)(x).
Answer:
(f+g)(x)= 3x^2 -2x-1
Step-by-step explanation:
f(x) = -4x+3
g(x) = 3x^2+2x-4
(f+g)(x)= -4x+3 +3x^2+2x-4
Combine like terms
(f+g)(x)= 3x^2 -2x-1
What is the sum of the measures of the exterior angles of this triangle? Picture attached
Answer:
The sum of the exterior angles is 360 degrees.
The function f(x)=2x^2+3x+5, when evaluated, gives a value of 19. What is the functions input value?
For this case we have a function of the form [tex]y = f (x).[/tex]
Where:
[tex]f (x) = 2x ^ 2 + 3x + 5[/tex]
They tell us that the function has a value of 19, and we want to know the values of the input, that is:
[tex]2x ^ 2 + 3x + 5 = 19\\2x ^ 2 + 3x + 5-19 = 0\\2x ^ 2 + 3x-14 = 0[/tex]
We apply the formula of the resolvent:
[tex]a = 2\\b = 3\\c = -14[/tex]
[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\x = \frac {-3 \pm \sqrt {3 ^ 2-4 (2) (- 14)}} {2 (2)}\\x = \frac {-3 \pm \sqrt {9 + 112}} {4}\\x = \frac {-3 \pm \sqrt {121}} {4}\\x = \frac {-3 \pm11} {4}[/tex]
We have two roots:
[tex]x_ {1} = \frac {-3 + 11} {4} = \frac {8} {4} = 2\\x_ {2} = \frac {-3-11} {4} = \frac {-14} {4} = - \frac {7} {2}[/tex]
Answer:
The inputs of the function [tex]y = 19[/tex]are:
[tex]x_ {1} = 2\\x_ {2} = - \frac {7} {2}[/tex]
What is the rate of change and initial value for Neil’s business and write and equeation for it
Answer: $50 per year, y = 50x + 1200
Step-by-step explanation:
The rate of change is the slope of the two coordinates (0, 1200) & (3, 1350). Note that 2005 is represented as 0 years since the company started and 2008 represents 3 years since the company started.
Use the slope formula: [tex]\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{1350-1200}{3-0}=\dfrac{150}{3}=\$50 \text{ per year}[/tex]
To write the equation in slope-intercept form, input a point (x₁, y₁) and the slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁) and solve for y
y - 1200 = 50(x - 0)
y - 1200 = 50x
y = 50x + 1200 ; where x represents the number of years the
company has been in business.
What is the surface area of the sphere below?
Answer:
A) 64π units
Step-by-step explanation:
SA= 4πr squared
4*π*4 squared
4 squared = 16
16*4=64
64π
Answer:
[tex]64\pi[/tex]
Step-by-step explanation:
Here we are given that the radius of the sphere is given as
[tex]SA=4\pi\cdotr^{2}[/tex]
here we are given that the radius of the sphere r=4 . Hence in order to find the Surface Area of the sphere we substitute the value of r in the formula...
[tex]SA=4\pi\cdot4^{2}[/tex]
[tex]SA=4\pi\cdot16[/tex]
[tex]SA=64\pi[/tex]
Hence the surface area of the sphere is [tex]64\pi unit square[/tex]
How many 2/3 ounces portions each of saffron can Lily get from the 4 2/3 ounces of saffron she bought at the Union Market?
Answer:
7
Step-by-step explanation:
4[tex]\frac{2}{3}[/tex] can be written as [tex]\frac{14}{3}[/tex]
number of [tex]\frac{2}{3}[/tex] portions = [tex]\frac{14}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]
= [tex]\frac{14}{3}[/tex] x [tex]\frac{3}{2}[/tex]
= [tex]\frac{14}{2}[/tex] = 7
Lily can get 7 portions of 2/3 ounces each from the 4 2/3 ounces of saffron she bought at the Union Market.
Explanation:To calculate the number of 2/3 ounce portions that Lily can get from the 4 2/3 ounces of saffron she bought, we need to divide the total weight of saffron by the weight per portion. We can convert 4 2/3 to an improper fraction, which becomes 14/3. Next, we divide 14/3 by 2/3 to get the number of portions. Dividing fractions involves multiplying the first fraction by the reciprocal of the second. So, 14/3 ÷ 2/3 = 14/3 * 3/2 = (14 * 3) / (3 * 2) = 42/6 = 7 portions.
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If you travel 1000 feet in 5 minutes, what is your speed per minutes
Answer:
So starting with:
1000 ft / 5 min
we need to convert minutes into seconds, then divide the above value into it to get knots (follow the labels so they cancel out)
1000 ft / 5 min (1/60 min/sec) (1 kt / 1.68780986 ft/sec)
1.974946 kt
Step-by-step explanation:
Please mark brainliest and have a great day!
The speed is the distance covered by an object at a particular time. Your speed is 200 feet per minute.
What is speed?The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
Given that you travel 1000 feet in 5 minutes. Therefore, your speed is,
Speed = 1000 feet / 5 minutes
Speed = 200 feet per minute
Hence, your speed is 200 feet per minute.
Learn more about Speed:
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If x =1/2 and y =-x which of the following is equal to x-y
Answer:
x=-1/2
y=-1/2
-1/2-(-1/2)
0
Step-by-step explanation:
Two ships leave port at the same time, Ship X is heading due north and Ship Y is heading due east. Thirteen hours later they are
650 miles apart. If the Ship X had travels 520 miles from the port, how many miles will Ship Y travel?
A. 520 miles
OB. 325 miles
C. 455 miles
D. 390 miles
find the value of 5x-6 given that 2x-7=9
Answer:
34
Step-by-step explanation:
Given that
2x - 7 = 9 ← solve for x
Add 7 to both sides
2x = 16 ( divide both sides by 2 )
x = 8
Substitute x = 8 into 5x - 6
5x - 6 = (5 × 8) - 6 = 40 - 6 = 34
Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Simplify Q - [R + S] - T.
10m + 5n - 24
10m - 5n + 24
10m + 7n - 14
10m - 7n - 14
Answer:
Q - [R + S] - T = 10m + 5n - 24 ⇒ 1st answer
Step-by-step explanation:
* Lets explain how to solve the problem
- The value of Q = 7m + 3n
- The value of R = 11 - 2m
- The value of S = n + 5
- The value of T = -m - 3n + 8
* To simplify Q - [R + S ] - T substitute the value of each letter in
the expression
- Lets find R + S
∵ R = 11 - 2m
∵ S = n + 5
∴ R + S = 11 - 2m + n + 5 ⇒ coolect the like term
∴ R + S = 16 - 2m + n
∵ Q = 7m + 3n
∵ T = -m - 3n + 8
- Lets simplify the rest of the expression
- Remember (-)(-) = + and (-)(+) = -
∵ Q - [R + S] - T = (7m + 3n) - (16 - 2m + n) - (-m - 3n + 8)
∴ Q - [R + S] - T = 7m + 3n -16 + 2m - n + m + 3n - 8 ⇒ add like terms
∴ Q - [R + S] - T = (7m + 2m + m) + (3n - n + 3n) + (-16 - 8)
∴ Q - [R + S] - T = 10m + 5n - 24
Answer:
10m + 5n - 24
Step-by-step explanation: