Answers
The length is x+4.
The area is the product of width and length.
.. Area = (x +2)(x +4)
.. = x^2 +6x +8
Related Questions
Jacey obtains a 30-year 6/2 ARM at 4% with a 2/6 cap structure in the amount of $224,500. What is the monthly payment during the initial period?
Answers
where
[tex]m[/tex] is the monthly payment
[tex]P[/tex] is the amount
[tex]r[/tex] is the interest rate in decimal form
[tex]t[/tex] is the number years
First we need to convert our interest rate of 4% to decimal form by dividing it by 100%:
[tex] \frac{4}{100} =0.04[/tex]
We also know from our question that [tex]P=224500[/tex] and [tex]t=30[/tex], so lets replace those values into our formula to find the monthly payment:
[tex]m= \frac{224500( \frac{0.04}{12}) }{1-(1+ \frac{0.04}{12})^{-(12)(30)} } [/tex]
[tex]m=1071.80[/tex]
We can conclude that the monthly payment during the initial period is $1071.58
I need more math help, the!
Cement truck A can pour 200 cubic ft of concrete in 20 minutes. It only takes truck B 15 minutes to do the same job. If they both work together,how long will it take them to pour the 200 cubic feet?
I need help setting up the problem and solving it, thank you!
Answers
Track B takes 15 minutes
In 1 minute track be will do a fraction of 1/20, while track B will do 1/15
Both tracks in a minute = 1/20+1/15
= 35/300
Therefore the two tracks will take 300/35 minutes to fill the 200 cubic feet
That is 300/35
= 8.57 minutes
≈ 9 minutes
PLZ HELP!!!! 43 POINTS!!!!! Koji is installing a rectangular window in an office building. The window is 8 2/3 ft wide and 5 3/4 ft high. The formula for the area of a rectangle is A=bh. What is the area of the window?
Answers
multiply 8 and 2/3 by 5 and 3/4!
What is the maximum number of distinct lines that can be drawn through 10 distinct points if no 3 of the points are collinear?
Answers
.. 10*9/(2*1) = 45 ways
45 distinct lines can be drawn
Solve the following equation. Then place the correct number in the box provided. 9(x - 6) = 8(x + 6)
x=
Answers
9(x - 6) = 8(x + 6)
The first step to take here is to apply the Distributive Property, which is
a(b + c) = ab + ac.
9(x - 6) = 8(x + 6)
9x - 54 = 8x + 48
After this, you want to begin to eliminate terms to ultimately isolate x; you can subtract 8x from both sides first:
9x - 54 = 8x + 48
x - 54 = 48
Finally, add 54 to both sides to get x by itself:
x - 54 = 48
x = 102
Answer:
x = 102
9(x -6) = 8(x+6)
9x - 54= 8x +48
x- 54= 48
x= 102
Kohl's sells casual shirts for $9 and polo shirts for $18.00. Total sales were $1,080, and customers bought 4 times as many casual as polo shirts. How many casual shirts did Kohl's sell?
a. 40
b. 12
c. 20
d. 60
Answers
60
please correct e if im wrong
WILL GIVE A BRAINLEST
What is the solution of x+4/2x-1<0 ?
Answers
To solve the inequality x + 4/2x - 1 < 0, first find the critical value x = 1/2. Then, test the intervals to determine the solution set x < 1/2.
To find the solution of the inequality x + 4/2x - 1 < 0, we can follow these steps:
First, find the critical values by setting the denominator, 2x - 1, equal to zero and solve for x. The critical value is x = 1/2.
Next, test the intervals created by the critical value in the original inequality x + 4/2x - 1 < 0. This helps determine the solution set which is x < 1/2.
WILL GIVE A BRAINLEST!!!!!!!!!!
Which is true about the statements
The graph of f(x) has a vertex of (–4, 6).
The graph of f(x) is horizontally stretched.
The graph of f(x) opens upward.
The graph of f(x) has a domain of x <=–6.
Answers
hope this helps<3
Answer: B) The graph of f(x) is horizontally stretched.
Step-by-step explanation: We are given an absolute function [tex]f(x)=-\frac{2}{3} |x+4|-6[/tex].
The standard equation of an absolute function is [tex]f(x)= a|x-h|+k[/tex].
Where (h,k) is the vertex of the absolute function.
If we compare [tex]f(x)=-\frac{2}{3} |x+4|-6[/tex] and [tex]f(x)= a|x-h|+k[/tex], we can see a=[tex]-\frac{2}{3}[/tex], h= -4 and h= -6.
Therefore, vertex of the given function is (-4,-6).Because we have value of a is a negative number so it would open down.An absolute function always have domain " All real numbers".Therefore, first, third and fourth options are incorrect.
So, the second option would only be applicable.
B) The graph of f(x) is horizontally stretched.y+2=−2(x−3)
Slope from equation
Problem
What is the slope of the line?
Answers
y = -2x + 4
The slope of the line is -2.
Please find below the given equation-
y + 2 = -2 ( x - 3 )
y + 2 = -2 x - 2(- 3)
y + 2 = -2 x + 6
y = -2 x + 6 - 2
y = -2 x + 4
Let's compare this equation with the form y = mx +c
By comparing we get,
m = -2 and c = 4
We know, in y = mx + c , slope of the line is given by m
Here m = -2, as discussed above
Therefore the slope of the given line is -2
Hope it helps ..!!
In the diagram a || b. Use the diagram to answer the question. (Diagram not to scale.) Name the interior angle to 7
A. 1
B. 2
C. 6
D. 4
Answers
help me, please............
Answers
-3/x
Use the diagram to complete the statement. Given JKL, sin(38) equals—
(Diagram is a right triangle. Angle K is 52 degrees and angle L is 38)
cos(38)
cos(52)
tan(38)
tan(52)
Answers
sin(38) = 0.61566......
cos(52) = 0.61566......
Answer:
Answer is b
Step-by-step explanation:
A toy rocket is launched from a platform 42 feet above the ground at a speed of 91 feet per second. The height of the rocket in feet is given by the polynomial −16t^2 + 91t + 42, where t is the time in seconds. How high will the rocket be after 3 seconds? HELP ASAP!!
A. 122 feetB. 218 feetC. 93 feetD. 2570 feet
Answers
height = -16t² + 91t + 42
After 3 sec means, t = 3, so we substitute t with 3
H = -16(3)² + 91(3) + 42
= -144 + 273 + 42
= 171 feet
The height of the rocket after 3 seconds is 171 feet.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
The height = -16t² + 91t + 42
After 3 sec means, t = 3, so we substitute t with 3
In order to find the height of the rocket after t seconds we plugin t = 3 in the function.
height H = -16t² + 91t + 42
H = -16(3)² + 91(3) + 42
= -144 + 273 + 42
= 171 feet
Thus, the height of the rocket after 3 seconds = 171 feet.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ5
Carolyn has cut a piece of ribbon 29 centimeters long from a roll. which instrument would she use to measure the length of the piece of ribbon?
Answers
Final answer:
Carolyn would use a ruler to measure the length of the piece of ribbon.
Explanation:
To measure the length of a piece of ribbon, Carolyn would use a ruler as the instrument. A ruler is a tool used for measuring small items and distances. It is commonly used for measuring in inches, which is the appropriate unit for short lengths like a piece of ribbon. Carolyn can align one end of the ribbon with the zero mark on the ruler and then extend the ribbon along the ruler to measure its length accurately.
The ruler's precision in measuring small distances, typically in inches, allows Carolyn to obtain a detailed and accurate measurement for the ribbon's length. Aligning the ribbon's end with the ruler's zero mark ensures a standardized starting point for consistency in measurements. This straightforward method showcases the practicality and ease with which rulers facilitate precise length measurements, making them essential tools for tasks requiring accuracy in determining dimensions.
Part 1.] Identify the following series as arithmetic, geometric, both, or neither. Includes picture
Part 2.] Evaluate C(3, 3)
A.] 1
B.] 6
C.] 24
Part 3.] Evaluate C(6,3)
A.] 20
B.] 120
C.] 720
Part 4.] How many subsets of four elements each exist in a set of seven elements?
A.] 4!
B.] C(7, 4)
C.] P(7, 4)
Part 5.] What is the probability of having 3 children that are all boys?
A.] [tex] \frac{1}{2} [/tex]
B.] [tex] \frac{1}{8} [/tex]
C.] [tex] \frac{3}{8} [/tex]
Answers
Part 1.] Identify the following series as arithmetic, geometric, both, or neither. Includes picture
Answer: arithmetic
Justification:
The arithmetic series are those in which the distance (difference) between any consecutive terms is constant, so you can find the term An adding the difference to the previous term, A(n-1).
In this case the series is:
∞
∑ (3 + na) =>
n=1
Term1: 3 + a
Term2: 3 + 2a
Term3: 3 + 3a
Term3: 3 + 4a
As you see, the difference between two consecutive terms is a, which shows that it is an arithmetic series.
Part 2.] Evaluate C(3, 3)
A.] 1
B.] 6
C.] 24
Answer: option A) 1.
Explanation:
The formula for combinations is Cm,n = m! / [n! (m - n)! ]
So, for C3,3, C3,3 = 3! / [3! 0!] = 3! / 3! = 1.
From this you might learn that Cm,m for any m is always 1.
Part 3.] Evaluate C(6,3)
A.] 20
B.] 120
C.] 720
Answer: option A) 20
Explanation:
Use the same formula, Cm,n = m! / [n! (m - n)! ]
C6,3 = 6! / [3! 3! ] = 6*5*4 / (3*2*1) = 5*4 = 20
Part 4.] How many subsets of four elements each exist in a set of seven elements?
A.] 4!
B.] C(7, 4)
C.] P(7, 4)
Answer: option B) C(7,4)
Explanation
You have to select collections of 4 elements from a set of 7 elements, and must realize that the order is irrelevant, i.e. it is the same the set ABCD as the set ACBD or DCAB or any combination of those four elements. So, the answer is a combination and not a permutation.
The number of subsets of 4 elements that you can form with 7 elements is: C(7,4), which is the option B.
Part 5.] What is the probability of having 3 children that are all boys?
A.] 1/2
B.] 1/8
C.] 3/8
Answer: option B: 1/8
Explanation:
The number of possible outcomes is 2 * 2 * 2 = 8
Only one of those outcomes is for all boys = 1
Therefore the probability is 1/8
You can see that representing the possible outcomes using B for boys and G for girls:
1) BBB (three boys)
2) BBG
3) BGB
4) BGG
5) GBB
6) GBG
7) GGB
8) GGG
Those are the 8 possible outcomes and as seen only one is for 3 boys.
A photographer enlarges a photo by using a scale of 5. The length of the original photo is 7 in. What is the length of the enlarged photo? Enter your answer in the box.
Answers
Answer:
35
Step-by-step explanation:
35
the distance light travels in one second (one light-second) is about 1.86 x 10^5 miles. Saturn is about 475 light-seconds from the sun. About how many miles from the sun is saturn?
Answers
Saturn is 475 light seconds away from the sun. Using this information we are asked to find the distance saturn is away from the sun.
1 light second - 1.86 x 10^5 miles
Therefore 475 light seconds -1.86 x 10^5 miles/light second * 475 light seconds
= 8.83 x 10^7 miles
Saturn is 8.83 x 10^7 miles away from the sun
Answer:
Step-by-step explanation:
Given that the distance light travels in one light second about
[tex]1.86(10^5) miles[/tex]
Distance of Saturn from Sun = Time taken for travel x speed
Here speed = [tex]1.86 x 10^5[/tex]
Time taken = 475 light seconds
Hence distance = [tex]1.86 x 10^5x475\\=883.5x10^5\\=8.835x10^7[/tex] miles
Need help ASAP WILL GIVE TEN POINTS FIVE QUESTIONS-
1
What is the solution to the inequality?
6x−5>−29
A x>−4
B x<4
C x>4
D x<−4
2
What is the solution to the inequality?
−4x−8>−20
A x>3
B x>−3
C x<−3
D x<3
3Solve.
−4.2y+2.1>−2.52
Drag and drop a number or symbol into each box to show the solution.
< > 0.1 1.1 4.62 −4.62
Y.(number) (number)
4 Solve.
−12x+13>35
Drag and drop a number or symbol into each box to show the solution.
< > −8/15 −4/15 4/15 8/15
x (number) (number)
What is the solution set?
−2.8x+5.6<8.4
Enter your answer in the box.
x (answer) plz help and ty
Answers
1) x>-4
2)x<3
3)y<1.1
4)x<-11/6
5)x>-1
HOPE THIS HELP
Answer:
Part 1) Option A [tex]x>-4[/tex]
Part 2) Option D [tex]x<3[/tex]
Part 3) [tex]y < 1.1[/tex]
Part 4) [tex]x<-8/15[/tex]
Part 5) [tex]x>-1[/tex]
Step-by-step explanation:
Part 1) we have
[tex]6x-5>-29[/tex]
[tex]6x>-29+5[/tex]
[tex]x>-24/6[/tex]
[tex]x>-4[/tex]
Part 2) we have
[tex]-4x-8>-20[/tex]
[tex]-4x>-20+8[/tex]
[tex]-4x>-12[/tex] -----> Multiply by [tex]-1[/tex] both sides
[tex]4x<12[/tex]
[tex]x<12/4[/tex]
[tex]x<3[/tex]
Part 3) we have
[tex]-4.2y+2.1 >-2.52[/tex]
[tex]-4.2y >-2.52-2.1[/tex]
[tex]-4.2y >-4.62[/tex] ----> Multiply by [tex]-1[/tex] both sides
[tex]4.2y < 4.62[/tex]
[tex]y < 1.1[/tex]
Part 4) we have
[tex]-(1/2)x+(1/3)>3/5[/tex]
[tex]-1/2x>(3/5)-(1/3)[/tex]
[tex]-1/2x>4/15[/tex] ---> Multiply by [tex]-1[/tex] both sides
[tex]1/2x<-4/15[/tex]
[tex]x<-8/15[/tex]
Part 5) we have
[tex]-2.8x+5.6< 8.4[/tex]
[tex]-2.8x< 8.4-5.6[/tex]
[tex]-2.8x< 2.8[/tex] ---> Multiply by [tex]-1[/tex] both sides
[tex]2.8x>-2.8[/tex]
[tex]x>-2.8/2.8[/tex]
[tex]x>-1[/tex]
If p(q-r)x^2 +q(r-p)x + r(p-q) has equal roots,then, 2/q=??
a)p+ 1/r c)p+r
b) 1/p +r d) 1/p + 1/r
Answers
Solution to this is,
[r(p-q)/p(q-r)]=1
pr-qr=pq-pr
2pr=pq+qr
2pr/pqr=(pq+qr)/pqr
2/q=1/r+1/p
Find the zeros K(x) = -x²+ 2x + 15 EXPLAIN EVERY STEP!
Answers
k(x) = -1(x^2 - 2x - 15) Now factor what's inside the brackets. The numbers you pick must add to - 2 and multiply to -15.
When you multiply to -15 you should note that one of the numbers is plus and the other is minus.
(x - )(x + ) is the way it looks.
They differ by 2 and the "largest" one is minus. That means your answer is -5 and +3
k(x) = - (x - 5)(x + 3)
Now for the zeros.
x - 5 can be a zero
x - 5 = 0
x = 5
x + 3 = 0
x = - 3
On a map, 1.5 centimeters represents a distance of 45 kilometers. If two points on the map are 0.8 centimeters apart, what is the actual distance between the two points?
Answers
centimeters / kilometers
1.5 / 45 = 0.8 / x
cross multiply
(1.5 * x ) = (45 * 0.8)
1.5x = 36
divide both sides by 1.5
x = 24
The actual distance between the two points is 24 kilometers.
Hope this helps
A pillow that usually costs $20 is marked down 45%. Table Use the table to find the new price of the pillow. $9 $11 $29 $33
Answers
Answer:
$11
Step-by-step explanation:
20-9=11
(4 + y = 19) what is y
Answers
y = 19 - 4
y = 15
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?
Enter your answer in the box.
°
Answers
Remember that the angles opposite of each other equal to 180. So a+c=180 and b+d=180.
First, we solve for x. Since we know that b and d equal to 180, we subtract 148 from 180.
180-148=32. x=32.
Then we plug that in the expression for angle a.
2x+1 becomes 2(32)+1
2*32=64
64+1=65.
a=65
22.6 is an outlier for which of the following sets of data?
1. 22.6, 21.5, 23.7, 22.6, 28.9, 22.6, 20.9
2. 2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9
3. 20.5, 20.8, 21.6, 22.6, 23.7, 24.5, 25.1
4. 13.6, 31.7, 25.8, 22.6, 18.9, 21.6, 30.5
Answers
Step-by-step explanation: B
Nicholas used a $10 bill to pay for a granola bar that only costs p dollars. How much change did Nicholas receive from the cashier?
Answers
Nicholas would have spent $p, so he has $p less than $10!
If two figures are congruent, their perimeters are equal true or false?
Answers
NEED HELP PLEASE :) ONLY 100% ANSWERS
1) An Egyptian pyramid has a square base that measures 80 meters on each side. If the height of the pyramid is 30 meters, what is the slant height of the pyramid?
2) A room in a bank is shaped like the rectangular prism shown below. The room has a security system that is triggered by two laser beams which stretch from Point A to D and Point B to C. How many total feet of laser beams are there?
*A 3-D rectangle 15 ft. length the back rectangle 12 ft. width the side 35 ft. width front*
Answers
Answer:
1) the slant height of the pyramid is 50 meters.
2) there are (approximately) a total of 80 ft of laser beams.
Step-by-step explanation:
1) The height of the pyramid (30 m) and half of the length of its base (40 m) form a rectangular triangle, where the slant height is its hypotenuse (H). From Pythagorean theorem:
H^2 = 30^2 + 40^2
H = √2500
H = 50 m
2) In the figure attached the rectangular prism is shown (point E was added).
The length of the laser beams is the addition of the segments AD to segment CB (which are equal).
We can make a rectangular triangle between points ECD. From Pythagorean theorem:
ED^2 = EC^2 + CD^2
ED = √(12^2 + 35^2)
ED = 37 ft
We can make a rectangular triangle between points AED. From Pythagorean theorem:
AD^2 = EA^2 + ED^2
AD = √(15^2 + 37^2)
AD ≈ 40
Then, there are (approximately) a total of 80 ft of laser beams.
equation that passes through the points (-1,0)(0,2)
Answers
2. Plug the slope you found in step 1, one of the given points, and plug both into the point-slope formula.
The point-slope formula is:
y - y_1 = m(x - x_1)
3. Solve the point-slope formula for y.
Your final answer must be in the form
y = mx + b
Write an algebraic expression for the verbal description. the sum of two consecutive natural numbers, the first of which is n
Answers
n + (n + 1)
hope this helps
If the first number is n and the second number is n+1, then you are writing [tex]n+(n+1)=2n+1[/tex].