Answer:
L = (6u + 5)m ; W = (2u-3)m
Step-by-step explanation:
Given;
Area of the rectangular vegetable garden, A = (12u² - 8u - 15)m²
Let the length of the rectangular vegetable garden = L
Let the width of the rectangular vegetable garden = W
A = L x W
Factorize the given area;
= 12u² - 8u - 15
= 12u² -18u + 10u - 15
= 6u(2u - 3) + 5(2u - 3)
= (6u + 5)(2u-3)
Thus, L = (6u + 5)m and W = (2u-3)m
Option B, is the right solution, although it was wrongly typed.
Two trains leave stations 330 miles apart at the same time and travel toward each other. One train travels at 65 miles per hour while the other travels at 85 miles per hour. How long will it take for the two trains to meet?
Answer:
Both trains will meet at 2.2 hours (2 hours and 12 minutes).
Step-by-step explanation:
Relative Speed
If two moving objects are traveling through the same line and have speeds v1 and v2 respectively, their relative speed is vr = v1-v2.
Both trains travel toward each other, which means their speeds are of opposite signs.
Let's assume the first train has a positive speed of 65 mph, and the second train has a negative speed of -85 mph. Then, the relative speed is vr = 65 + 85 = 150 mph.
To calculate the time they take to meet, we apply the formula:
[tex]\displaystyle t=\frac{x}{vr}[/tex]
[tex]\displaystyle t=\frac{330}{150}=2.2\ hours[/tex]
Both trains will meet at 2.2 hours (2 hours and 12 minutes).
If the inflation rate doubles, does the percentage decrease in buying power also double? If not, is the new percentage decrease in buying power more than twice the old one or less than twice the old one? Interpret your answer.
Answer: It doubles
Step-by-step explanation:
Inflation erodes the value of a currency thereby reducing the purchasing power that customers have as they will only be able to buy less gods and services for the same amount as before.
An increase in inflation is directly proportional to a decrease in purchasing power which means that if the inflation rate doubles, the decrease in purchasing power doubles as well.
For instance, if inflation is 10%, the value of a dollar becomes 0.9c. If Inflation doubles to 20%, the dollar goes to 0.8c. Meanwhile the purchasing power would have gone from $1 to 0.8c which would translate to a 20% decrease.
An athlete runs a distance of 345 metres (to the nearest metre) in a time of 44.6 seconds (to the nearest 0.1
second).
What is her slowest possible speed?
Answer:
7.716 (with margin: 0.001)
Step-by-step explanation:
speed = distance ÷ time
For speed to be at a minimim you need distancemin ÷ timemax
Min distance = 345 - 0.5 = 344.5m
Max Time = 44.6 + 0.05 = 44.65 sec
speedmin=344.5 ÷ 44.65 = 7.7155..... = 7.716 m/s (3 dp)
The slowest speed possible of the athlete is required.
The minimum possible speed of the runner is 7.7 m/s.
Speedd = Distance run by the athlete = 345 meters
t = Time taken by the athlete to cover the distance = 44.6 seconds
Speed is given by
[tex]s=\dfrac{d}{t}[/tex]
[tex]s=\dfrac{345}{44.6}[/tex]
[tex]s=7.735\approx 7.7 \text{m/s}[/tex]
The speed of the athlete should be at least 7.7 m/s any less than that and the athlete will not be able to cover the required distance in the given time.
Learn more about speed:
https://brainly.com/question/6504879
list down all the subsets of a set A={a, b, c, d}. What is the answer?
Answer:
The list of all subsets of a,b,c,d is ϕ ,{a},{b},{c},{d},{a,b},{a,c},{a,d},{b,c},{b,d},{c,d},{a,b,c},{a,b,d},{a,c,d},{b,c,d},{a,b,c,d}
I need help please please
Answer:
reflection then transition
Step-by-step explanation:
because ummm for it to get to one it is reflected then to get to 3 it is transitioned
Answer:
B
Step-by-step explanation:
Reflects over y and translates 4 to the left
Brainliest if correct
Answer:
9.1031 < 9.208 < 9.23 < 9.3
Step-by-step explanation:
Look at the tenths part of the decimals which is the main part, don't get confused just because there is more numbers after a small decimal number
Also brainly pls ty
Evaluate x+(−21) when x=−27.
Answer:
-48
Step-by-step explanation:
Subsitute -27 for x
-27+(-21) when you add negatives you keep the negative sign
-48
The Bakers want to sell their house for $145,500. After 2 months, the Bakers decided to mark down the price of their house 8% to sell more
quickly. How much are the Bakers selling their house for now?
Answer:
133 860
Step-by-step explanation:
145 500 x 0.92=133 860
Answer:
133860
Step-by-step explanation:
8 percent is 11640 so you subtract that from the original price
Which of the following numbers has the least number of 1’s in their binary representation? A) BAD(16) B) FED(16) C) CAB(16) D) ACE(16)
Note: the (16) means base 16
Answer: B
Step-by-step explanation:
11) V = tr2h solve for r2
Answer:
[tex]r^{2}=\frac{V}{\pi h}[/tex]
Step-by-step explanation:
To solve an equation for one of its variables do that:
Underline the variableSeparate it one side and the other terms on the other sideMake its coefficient equal to 1Let us use these steps to solve our question
∵ V = πr²h
→ Underline r²
∴ V = πr²h
→ Take π and h to the other side by dividing both sides by πh
∵ [tex]\frac{V}{\pi h}=\frac{\pi r^{2}h}{\pi h}[/tex]
∴ [tex]\frac{V}{\pi h}=r^{2}[/tex]
→ The coefficient of r² is 1, so switch the two sides
∴ [tex]r^{2}=\frac{V}{\pi h}[/tex]
Cameron has $720 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $200.75.
He buys 4 bicycle reflectors for $12.29 each and a pair of bike gloves for $20.49.
He plans to spend some or all of the money he has left to buy new biking outfits for $70.25 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Cameron can purchase while staying within his budget.
Answer:
1626.03
Step-by-step explanation:
u add all of them but u multiply 4 x 12.29 after u get the answer u add all of them and ur final answer is 1626.03
Renu save Rs. 3000 from her salary. If this is 10% of her salary what is her salary b) Find the area of parallelogram if the base is 20cm and the corresponding height is 5cm.
[tex] \rm \lim_{k \to \infty } \sqrt[ k]{ \Gamma \bigg( \frac{1}{k} \bigg)\Gamma \bigg( \frac{2}{k} \bigg)\Gamma \bigg( \frac{3}{k} \bigg) \dots\Gamma \bigg( \frac{k}{k} \bigg)} \\ [/tex]
We have
[tex]\sqrt[k]{\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)} \\\\ = \exp\left(\dfrac{\ln\left(\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)\right)}k\right) \\\\ = \exp\left(\dfrac{\ln\left(\Gamma\left(\dfrac1k\right)\right)+\ln\left( \Gamma\left(\dfrac2k\right)\right)+ \cdots +\ln\left(\Gamma\left(\dfrac kk\right)\right)}k\right)[/tex]
and as k goes to ∞, the exponent converges to a definite integral. So the limit is
[tex]\displaystyle \lim_{k\to\infty} \sqrt[k]{\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)} \\\\ = \exp\left(\lim_{k\to\infty} \frac1k \sum_{i=1}^k \ln\left(\Gamma\left(\frac ik\right)\right)\right) \\\\ = \exp\left(\int_0^1 \ln\left(\Gamma(x)\right)\, dx\right) \\\\ = \exp\left(\dfrac{\ln(2\pi)}2}\right) = \boxed{\sqrt{2\pi}}[/tex]
A bag contains some red, blue, and green marbles. 30% of the marbles are blue and 40% of the marbles are green If there are a total of 150 marbles in the bag how many marbles are red?
Answer:
45
Step-by-step explanation:
If 30% of the marbles are blue and 40% are green, then the remaining 30% of the marbles are red. Now we have to find 30% of 150
We do (30/100)*150 which equals 45.
PLLEASEEE HELP !!!!!
In this arithmetic sequence, what is the common difference?
11, 8, 5, 2, ...
Answer:
-3
Step-by-step explanation:
11-3=8
8-3=5
5-3=2
hope this helps!!
Suppose y varies directly as x, and y=8 when x=2 find when x=21
Help please I don’t understand
The height of the object after 1 sec is 284 feet
Equation of height of an objectGiven the equation of height of an object expressed as:
h(t) = -16t^2 + 300t
We are to find the height of the object after 1 sec. To do that, we will substitute t = 1 into the following expression
h(t) = -16t^2 + 300t
h(1) = -16(1)^2 + 300(1)
h(1) = -16 + 300
h(1) = 284ft
Hence the height of the object after 1 sec is 284 feet
Learn more on maximum height here: https://brainly.com/question/12446886
How do you find the surface area of "most" 3D solids?
Surface area is the sum of the area of all faces
316₇ written in base 10 =
The number [tex]316_7[/tex] is 316 in base seven
The number 316 in base seven is 160 in base ten
How to convert the base to base 10To convert to base 10, we make use of the product rule.
So, we have:
[tex]316_7 = 3 * 7^2 + 1 * 7^1 + 6 * 7^o[/tex]
Evaluate the exponents
[tex]316_7 = 3 * 49 + 1 * 7 + 6 * 1[/tex]
Evaluate the products
[tex]316_7 = 147 + 7 + 6[/tex]
Evaluate the sum
[tex]316_7 = 160[/tex]
Hence, the number 316 in base seven is 160 in base ten
Read more about number base at:
https://brainly.com/question/10873737
A company can buy packages of 500 sheets of paper for $4. At that rate, how much paper can be bought for $2000? Show your work.
Answer:
250,000 papers
Step-by-step explanation:
500 papers : $4
x papers : $2000
Cross-multiply:
500 * 2000 = 4x
1,000,000 = 4x
/ 4 = / 4
250000 = x
Analyzing Bivariate Data
In this activity, you will draw a scatter plot and the line of best fit to analyze a situation.
Jeremy is on the planning committee for the rock climbing club. He is putting together a trip where members
can go outdoor rock climbing. He is trying to determine how high the group should climb and how long the
trip should last. He calls multiple parks in the area that offer rock climbing and collects data on the height of
the rock formations and the average time it takes people to reach the top and come back down. The data he
found is shown.
Time to Climb (min)
Height (ft)
It gives me a list of numbers in a chart
Time to climb : 30 ,45 , 115 , 87, ,160,60,135,117,55,145,95,150,67,120,100,88,138,75,167,120
Height: 85,120,289,194,434,241,351,339,180,400,248,370,155,296,271,255,315,215,405,317
Answer:
The line of best fit in scatter diagram, the variable have positive correlation.
Scatter Diagram is attached :
Step-by-step explanation:
Population was 249583 and is now 318270. What percentage has it grown in 10 years
Answer:
By about 28% has the city grown over the past ten years.
Step-by-step explanation:
Ten years ago, the city's population was 249,583. Its current population is 318,270. By about 28% has the city grown over the past ten years. [ Solution: Population of the city before 10 years = 249583; Current population = 318270; Population grown =318270-249583 = 68687; 68687/249583 = 0.2752; 0.2752 x 100 = 27.52%. ]
Answer:
[tex] \frac{318270}{249583} = 1.277[/tex]
It has grown by 0.277;
by percentage this is;
[tex]0.277 \times 100 = 27.7[/tex]
27.7% increase
5X
1. 13 x 2 - 4
45
Х
X 4
16
Answer:5x because ie d ecaied d
Daneesha is the head chef at a restaurant. She combines the olive oil from three equal-sized bottles. One bottle is 2/3 full. Another bottle is 1/2 full. The third bottle is 1/3 full. What is the total amount of olive oil Daneesha combines?
Answer:
the answer is 1 1/2 bottles
Step-by-step explanation:
Let f(x) = x2 + 2x + 1 and g(x) = X - 4.
Identify the rule for f•g.
Answer:
(g ◦ f)(x) = g(f(x)) = cos(f(x)) = cos(7x2).
Find the slope of the line through each pair of points.
a)( -7 , 16 ) , ( 4 , - 4 ) b) ( -5 , -20 ) , ( -12 , - 10 )
Answer:
a) -20/11 b) -10/7
Step-by-step explanation:
a) m=(y2-y1)/(x2-x1)
m=(-4-16)/(4-(-7))
m=-20/(4+7)
m=-20/11
b) m=(y2-y1)/(x2-x1)
m=(-10-(-20))/(-12-(-5))
m=(-10+20)/(-12+5)
m=10/-7
m=-10/7
What is the area of a square with sides 12 m?
Answer:
144m²
Step-by-step explanation:
area is equal to side×side
side=12
=12×12
=144m²
Answer:
[tex]144m^{2}[/tex]
Step-by-step explanation:
Square = length * width
As everyone knows that the length and width of a square are the same, 12 times 12 equals 144.
Complete each exercise.
Order from least to greatest.
1. 1, 7, -1, -7
Answer:
-7 -1 ,1 ,1 .7
Step-by-step explanation:
write 15+45 as a product of two factors using the gcf and the distributive property
Answer:
15(1 + 3)
Step-by-step explanation:
15 written in its prime factors is 3 × 5 (15 × 1)
45 written in its prime factors 3 × 3 × 5 (15 × 3)
The greatest common factor is 15: 15 × 1 = 15 and 15 × 3 is 45
∴ 15 + 45 = 15(1 + 3)
Hope this helps! Make me brainiest, lol it's fine if you don't. : )
Solve the following problem. Give the equation using x as the variable, and give the answer.
The sum of three times a number and 8 more than the number is the same as the difference between −22 and twice the number. What is the number?
Question content area bottom
Part 1
Write the equation using x as the variable. Choose the correct equation below.
A.
3x+(x+8)=−22−2x
B.
3x−8x=2x−(−22)
C.
3x−8x=−22−2x
D.
3x+(x+8)=2x−(−22)
Answer:
A. 3x + (x+8) = -22 - 2x
Step-by-step explanation:
Let the number equal x.
Set up the first half of the equation.
The sum of three times the number and 8 more than the number can be written as:
3x + (x+8)
Sum means that you add the components.
Set up the second half of the equation.
The difference between -22 and twice the number can be written as:
-22 - 2x
Difference means subtraction, and because -22 is written first, that is the number that you subtract from.
If you set the halves of the equation equal, you get:
3x + (x+8) = -22 - 2x
Therefore, the answer is A.