Question:
A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.
[tex]Length = 4w^2 + 3w - 1[/tex]
[tex]Width = 5w - 2.[/tex]
Which expression represents the area in square feet that the homeowner will cover with fertilizer?
Answer:
[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]
Step-by-step explanation:
Given
[tex]Length = 4w^2 + 3w - 1[/tex]
[tex]Width = 5w - 2.[/tex]
Required
Determine an expression for the area
Area is calculated as:
[tex]Area = Length *Width[/tex]
[tex]Area = (4w^2 + 3w - 1) * (5w - 2)[/tex]
Expand
[tex]Area = 20w^3 + 15w^2- 5w - 8w^2 - 6w + 2[/tex]
Collect like terms
[tex]Area = 20w^3 + 15w^2- 8w^2 - 5w - 6w + 2[/tex]
[tex]Area = 20w^3 + 7w^2 - 11w + 2[/tex]
A salt water solution is cooled to -3C. During an experiment , the mixture is heated so that its, temperature rises at steady rate. Write an equation to represent the temperature ,y, after x minutes
Answer:
[tex]y = -3+ rx[/tex]
Step-by-step explanation:
Given
[tex]Base = -3C[/tex]
[tex]Time = x[/tex]
Required
Determine the equation (y)
Let the steady rate be represented with r.
So, the equation (y) can be determined using:
[tex]y = Base + Rate * Time[/tex]
[tex]y = -3+ r* x[/tex]
[tex]y = -3+ rx[/tex]
A shipping crate is 9 feet long, 4 feet wide, and 6 feet tall. What is the total surface area of the crate in square feet?
Answer:
Step-by-step explanation:
sureface area of rectanglur object is the sum of the six sides
Area = Length x Width
SArea = Top Area + Bottom Area + Front Area + Back Area + Left Side Area
+ Right Side Area
since the top and bottom have equal area = long x wide
the front and back have equal area = long x tall
and both sides have equal area = wide x tall
I summed the bottom front and side areas each times 2
SArea = 2(Bottom Area) + 2(Front Area) + 2(Side Area)
factor out the 2 and added the area formulas for the bottom front
and side
= 2 [ (long x wide) + (long x tall) + (wide x tall)]
= 2 [ (9 x 4) + (9 x 6) + (4 x 6)]
= 2 [ (9)(4) + (9)(6) + (4)(6)]
= 2( 36 + 54 + 24 )
= 2( 114)
= ???? What is 2 times 114 ???? You can finish this part.
In a triangle the ratio of angles is 2:3:4 find the angles
Answer:
40,60,80
Step-by-step explanation:
2x+3x×4x=180
9x=180
x=20
2x=40
3x=60
4x=80
answer for brainlist & extra points! i can see if your answer is correct or not :)
Answer:
n=7
Step-by-step explanation:
71=10n+1
We move all terms to the left:
71-(10n+1)=0
We get rid of parentheses
-10n-1+71=0
We add all the numbers together, and all the variables
-10n+70=0
We move all terms containing n to the left, all other terms to the right
-10n=-70
n=-70/-10
n=7
Hope it helps
Answer:
The equation simplifies to n = 7.
Step-by-step explanation:
Hey there! We have an algebraic equation with the variable n. We want to solve for n. Therefore, we need to simplify the expression as much as we can.
To do this, we're going to notice we have two like terms in the equation:
711These two terms can be combined to make one term. In order to do this, we're going to check which side of the equation has two terms.
Left side → 1 termRight side → 2 termsWe are going to then check the sign of the constant. As a reminder, constants are numbers without a variable attached to them.
We see our constant is 1 on the right side and it is positive due to it being added to 10n. Therefore, we are going to do the opposite and subtract it from 71.
71 - 1 = 70This leaves us with a more simplified equation: 70 = 10n.
To make things easier, we're going to use the commutative property and switch the terms around. This will give us 10n = 70. It is easier to operate when our variable term is on the left side.
Now, we need to get our variable by itself. A coefficient is multiplying the variable by that value, so to reverse that, we must divide.
In addition to that, what we do on one side of the equation must be done on the other side of the equation.
[tex]\displaystyle \frac{10n}{10} = \frac{70}{10}[/tex]
This simplifies to n = 7, which is our final answer.
please helps
Which function represents this sequence?
A.
f(n) = 4 ∙ 2n-1
B.
f(n) = 4n-1
C.
f(n) = 2 ∙ 4n-1
D.
f(n) = 2n-1
Answer: A. f(n) = 4 ∙ 2n-1
Step-by-step explanation:
because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.
An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
The answer is 35.1 cm².
Hope this helps; have a great day!
Question:-
Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.
_______________________________________________
Solution:-
In an equilateral triangle all sides are equal.
Let s = side length = 9 cm
Then, area of equilateral triangle is given as:
A = (√3/4)s²
Putting the value of s here,
A = (√3/4) * (9 cm)²
=> A = (√3/4) * 81 cm²
=> A = √3 * 20.25 cm²
We know that, √3 = 1.732
=> A = 1.732 * 20.25 cm²
=> A = 35.073 cm²
Rounding to one decimal place,
=> A = 35.1 cm²
_______________________________________________
PLEASE HELP I WILL GIVE BRAINLIEST
solve for x in a triangle. Round your answer to the nearest hundredth
Parallel lines cut by a transversal
Answer:
x=5
Step-by-step explanation:
Hello There!
The angle labeled 20x and the angle that has a measure of 80 degrees are supplementary angles meaning the sum of the two is 180
so we can create an equation to solve for x
180=80+20x
step 1 subtract 80 from each side
80 - 80 cancels out
180-80=100
100=20x
step 2 divide each side by 20
100/20=5
20x/20=x
we´re left with x=5
Find the distance, c, between (0, 2) and (5, –2) on the coordinate plane. Round to the nearest tenth if necessary.
Answer: 6.4
Step-by-step explanation:
d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt (41)
d = 6.4
solve for x , (2x-1)=5(x+1)
no links
Answer:
x = -2
Step-by-step explanation:
Answer:
x= -2
Step-by-step explanation:
(2x-1)= 5(x+1)
2x - 1 = 5x + 5
-2x -2x
- 1 = 3x + 5
-5 -5
-6 = 3x
-6/3= 3x/3
-2= x
pleaseee help im really confused
you are shopping for a Nintendo Switch and you have a choice to make. You can pay $420 and add 10% for shipping or pay $400 and add 20% for shipping. Which costs less?
Answer:
420 x .1 = 42
420 + 42 = 462
400 x .2 = 80
400 + 80 = 480
The first one is cheaper
Members of a landscaping company built a retaining wall. They used brick to make the top ⅔ of the wall.
Answer:
The answer is "[tex]1\frac{5}{6}[/tex]"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]BH=\frac{2}{3} \cdot L[/tex]
[tex]=\frac{2}{3} \cdot (2+\frac{3}{4}) \\\\=\frac{4}{3} +\frac{6}{12} \\\\=\frac{4}{3} +\frac{1}{2} \\\\=\frac{8+3}{6} \\\\=\frac{11}{6} \\\\= 1 \frac{5}{6} \\[/tex]
Answer:
The answer would be 1 5/6 !
Step-by-step explanation:
Help :)))) please it would mean alot
Escribe and correct the error in finding the simple interest earned on $500 at 6% for 18 months. I=500(0.06)(18) I = 540
Answer: 45$
Step-by-step explanation:
Given
Principal [tex]P=\$500[/tex]
Rate [tex]R=6\%[/tex]
time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]
Simple interest is given by
[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]
In the question, time is taken in months which is incorrect
Putting values
[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]
If I could have help with this that would be great :) i’ve been working on it for about an hour.
Please someone help me with this... and please thouroughly explain, i have no clue what to do.
144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.
SOLVE: 3/4 x 4/5 = *
3
4
×
4
5
=
3
5
Result in decimals: 0.6
Calculation steps:
3
4
×
4
5
=
3 × 4
4 × 5
=
12
20
=
12 ÷ 4
20 ÷ 4
=
3
5
Solve (s−9)(s−1)=0. how do I solve this equation
Answer:
Step-by-step explanation:
What is the area of the trapezoid?
Answer:
26 this is because 4x5=20 then add the triangle which is 3x4 ÷ 2 equalling 26
Answer:
Step-by-step explanation:
(5+8)/2 = 13/2 = 6.5
6.5*4 = 26m²
The formula for the area of a trapezoid is the same as a trapezium :
(a+b)/2 *h = Area
After eating at a restaurant, Mr. Jackson's bill before tax is $52.50. The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter. How much will the total bill be, including tax and tip?
Answer:
$67.2
Step-by-step explanation:
8% of $52.50
52.5 × 8/100 = $4.2
20% of $52.50
52.5 × 20/100 = $10.5
total
$52.5 + $4.2 + $10.5 =$67.2
Which equation represents a nonproportional relationship? Which equation represents a nonproportional relationship? A y = 5x B y = 5x + 3 C y = −5x D y = − 1 5 x
Answer:
y = 5x + 3 is a nonproportional relationship.
Step-by-step explanation:
We need to find the equation that represents a nonproportional relationship.
If y is directly proportional to x, it would mean that,
y ∝ x
y = kx
Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.
Hence, we can say that option (b) represents a nonproportional relationship.
please help! it’s 9:00 and i just want to be done...
Answer:
Step-by-step explanation:
1. 3/7
2. 1/5
3. 7 and 21
Answer:
1) 3/4
2) 1/5
3) 7 and 21
4) 9 tokens a day
5) 6 laps a week
Algebraic expressions. c^2+d^2
Answer:
what are you asking?
Step-by-step explanation:
2/5g = 3/5 give me a good explanation that is easy to understand
Translate algebraic expression into a word phrase: 2 ( 5 + t )
Answer:
two times the sum of a number and 5
Step-by-step explanation:
6. A bag contains 240 counters.
Huan removes 15% of the counters.
Esther removes 54 counters.
What is the percentage change in the number of
counters in the bag?
Answer:
48
Step-by-step explanation:
IWILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
Ms. Eckman will roll a single number cube. What is the probability that she will roll an even number?
Answer:
50 percent
Step-by-step explanation:
What is the surface area of the image below?