Answer:
x=-³√4-1
Step-by-step explanation:
x³+3x²+3x+5=0
(x+1)³+4=0
(x-1)³=-4
x+1=-³√4
x=-³√4-1
Jordan is making a paddleball court. The court consists of a wall outlined by 40 m of paint. What dimensions will maximize the area of the paddleball court?
Answer:
L = 10m
And, W = 20m
Step-by-step explanation:
The computation is shown below:
Given that
2L + W = 40 m
Also we know that
Area = Length × width
= L × ( 40 - 2L)
= 40L - 2L^2
= -2(L^2 - 20L)
= -2(L^2 - 20L + 100 - 100)
= -2(L^2- 20L + 100) + 200
= -2(L - 10)^ + 200
So
L = 10m
And, W = 20m
Find the areas of the trapezoids
Answer:
12 units²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 4 ( perpendicular distance between the bases ) and
b₁ = SR = 2, b₂ = TA = 4 , then
A = [tex]\frac{1}{2}[/tex] × 4 × (2 + 4) = 2 × 6 = 12 units²
ū= (5,8)
Find the direction angle of ū.
Enter your answer as an angle in degrees between 0 and 360° rounded to the nearest hundredth.
Assuming the angle made by a vector refers to the angle it makes with the positive horizontal axis, take the dot product of u with the vector (1, 0), and recall that
a • b = ||a|| ||b|| cos(θ)
where θ is the angle made by the vectors a and b. Then
u • (1, 0) = ||u|| ||(1, 0)|| cos(θ)
We have
u • (1, 0) = 5×1 + 8×0 = 5
||u|| = √(5² + 8²) = √89
||(1, 0)|| = √(1² + 0²) = √1 = 1
so that
5 = √89 cos(θ)
cos(θ) = 5 / √89
θ = arccos(5 / √89) ≈ 57.99°
Un cilindru circular drept are raza bazei egală cu 27 , iar înălțimea cilindrului este egală cu 11 . (unitatea de măsură o alegi tu). De aflat aria totală și volumul cilindrului. VA ROG URGENT
Answer:
1) 6447,55 unități pătrate
2) 25192,43 unități cubice
Step-by-step explanation:
1) Suprafața totală a unui cilindru
Formula = 2πr (r + h)
r = 27 de unități
h = 11 unități
Suprafața totală = 2 × π × 27 × (27 + 11)
= 6446.54813 unități pătrate
Aproximativ = 6447,55 unități pătrate
2) Volumul cilindrului
Formula = πr²h
= π × 27² × 11
= 25192,43 unități cubice
help me please!!!
What is the value of -3x^5+ 2x^2+ x -5 when x = -1
Answer:
-1
Step-by-step explanation:
Plug in calculator
-3(-1)^5+2(-1)^2-1-5 = -1
A rectangle has an area of 96 sq. ft. Find the width of the rectangle if the height is 8 feet?
the answer of √ 9+4√5 is?
Answer:
3 + 4√5 or 11.94
Step-by-step explanation:
√ 9+4√5
√9 = 3
3 + 4√5
Help????? I don’t know which is right
Answer:
C
Step-by-step explanation:
Given
tanθ = [tex]\frac{1}{2}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]
This is a right triangle with legs 1 and 2
Using Pythagoras' identity
hypotenuse² = 1² + 2² = 1 + 4 = 5 ( take square root of both sides )
hypotenuse = [tex]\sqrt{5}[/tex]
θ is in the 3rd quadrant where sinθ < 0 , then
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = - [tex]\frac{1}{\sqrt{5} }[/tex] ← rationalise the denominator
= - [tex]\frac{1}{\sqrt{5} }[/tex] × [tex]\frac{\sqrt{5} }{\sqrt{5} }[/tex]
= - [tex]\frac{\sqrt{5} }{5}[/tex] → C
You pick from cards at random 2 4 5 6 7 8 9 Which is P(prime)
Answer:
2, 3, 5, 7
Step-by-step explanation:
They are all prime
Answer: 2,3,7,5
Step-by-step explanation:
2 is an exeption for a prime number but 3,7,5 are only diviusible by 1 and itself
2. Find the length of AD if the length of AB is
14 units, the length of BC is 5 units, and the
length of CD is 8 units
Step-by-step explanation:
can you please show the picture too
can you help me i will mark if i can
Answer:
i think it is d
Step-by-step explanation:
Matthew wants to purchase a new couch, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Matthew?
He can save money and write a check once there is enough money in his account.
He can use his debit card to purchase the couch now.
He can use his credit card to purchase the couch now.
He can save money and pay cash once he has enough.
Answer:
He can use his debit card to purchase the couch now.
Step-by-step explanation:
HELP HELP HELP!! ILL MARK BRAINLIEST
Answer: i think its the 3rd one
Step-by-step explanation:
Select all the expressions that equal 6 to the power of-10.
6−5⋅62
(16)5
(6−5)2
6−367
65⋅6−36−8
Answer:
I will say answer A but I don't know
Step-by-step explanation:
What is the solution, and independent and dependent veribles?
Answer:
The independent variable is the cost of the item ([tex]d[/tex]), whereas the dependent variable is the change ([tex]c[/tex]) received by Darrel, since that quantity is calculated by subtracting the cost of the item from the value of the bill. The equation is the following linear equation: [tex]c = 20.00 - d[/tex]
Step-by-step explanation:
The independent variable is the cost of the item ([tex]d[/tex]), whereas the dependent variable is the change ([tex]c[/tex]) received by Darrel, since that quantity is calculated by subtracting the cost of the item from the value of the bill. The equation is the following linear equation: [tex]c = 20.00 - d[/tex]
In October of 2010 it rained 4 inches. In October of 2011 it rained 2.6 inches. What is the percent decrease in October rainfall?
In circle O, mZR = 23. Find mzo. (The figure is not drawn to scale.)
e
R
O 46
23
67
157
Answer:
A. 46Step-by-step explanation:
m<R=23
m<NQ=2(23)=46
m<O=m NQ =46
hope it helps....
✏---------------
m∠R=23mNQ=2(23)=46m∠O=m NQ=46➜➜➜➜➜➜
hope it helps
have a great day!!
What's the domain and range of the exponential growth function? (please help asappp no spam please or links or anything like that!!! will give brainliest)
Domain: All real numbers; Range: All real numbers
Domain: x > –2; Range: y > –2
Domain: x < –2; Range: All real numbers
Domain: All real numbers; Range: y > –2
Answer:
Domain: All real numbers; Range: y > –2
Step-by-step explanation:
The function can take every x value, but does not reach values less than -2.
What is (0, 2) reflected over the x-axis
Answer:
(0,-2)
Step-by-step explanation:
plot the point and reflect it over the x axis
students make a rectangular banner that is 2 feet 6 inches wide and 84 inches long what is the perimeter
Answer:
6 + 2 = 8 which is the width.
8 + 8 = 16
84 + 84 = 168
168 + 16 = 184 in
Answer:
228 inches
Step-by-step explanation:
2 feet 6 inches = 30 inches
2(30in+84in) =228 in
What is the domain of the function graphed below?
Answer:
the answer is c
Step-by-step explanation:
Domain is [tex]{ x|x\neq -1,2,4}[/tex]
What is domain ?The domain of a function is the complete set of possible values of the independent variable.
The domain is the set of all possible x-values which will make the function "work", and will output real y-values
We need to find the domain of the function graphed
Domain are the values of x for which the function is defined.
For domain, we look at the x values of the graph.
We have graph for x values the graph goes close to x = -1 and x = 4 axis but does not cross x = -1 and x = 4axis. and at x =2 not define
So , domain is set of all x values [tex]{ x|x\neq -1,2,4}[/tex]
Hence, domain is [tex]{ x|x\neq -1,2,4}[/tex]
To learn more about the domain here:
https://brainly.com/question/15378251
#SPJ7
Audria rode her bicycle for 2 hours. She drove a total of 21 miles. At this rate, how many miles will she bike in ½ hour? A 612 6 1 2 B 634 6 3 4 C 534 5 3 4 D 514
Answer:
5 1/4
Step-by-step explanation:
Speed = distance / time
21 / 2 = 10.5
10.5 = distance / 0.5
distance = 10.5 x 0.5 = 5,25 miles or 5 1/4
Help me fast please
Answer:
I think the answer is
Step-by-step explanation:
50 feet tall
please help!! area of parallelogram
for brainiest:):):):):):):):):):):)
Answer:
34 yd for the perimeter. I mean you just add the sides together... So 8+2+3+7+5+9 = 34.
Justin conducted a survey to find out people's favorite sport and recorded the results below. If Justin were to survey a total of 250 people, how many would you predict would name basketball?
Answer:
100 people
Step-by-step explanation:
In the attached image below we can see that the original survey was done on a total of 50 individuals (12 + 3 + 20 + 15 = 50). Out of these 50, 20 of them answered basketball.
20 / 50 = 0.40 ... multiply by 100 to get percentage
0.40 * 100 = 40%
We can see that this is 40% of the original survey sample population. If we use this same percentage, we can predict how many individuals out of 250 would answer basketball. We calculate this by multiplying 250 by 40% in decimal form, like so...
250 * 0.40 = 100
Finally, we can predict that 100 people would most likely answer basketball.
A serving of dried fruit is 1/5 cup. A bag contains
9/10
cup of dried fruit. Which
division expression can you use to find the number of servings in the bag:
1/5 divide 9/10 or 9/10 divide by 1/5 ? Explain your reasoning.
Answer:
9/10 divide by 1/5
4 1/2 cups
Step-by-step explanation:
Serving of dried fruits = 1/5 cups
Bag of dried fruits = 9/10 cups
Expression that can be used to find the number of servings in the bag = Bag of dried fruits / Serving of dried fruits
= 9/10 ÷ 1/5
= 9/10 × 5/1
= (9* 5) / (10 * 1)
= 45/10
= 4 5/10
= 4 1/2 cups
9/10 divide by 1/5
Use the scatter plot of car resale values to answer the following question.
A graph titled Car Resale Values has age of car on the x-axis, from 0 to 10 in increments of 2, and percentage of sticker price on the y-axis, for 0 to 100. A line of best fit goes through points (2, 80) and (9, 20).
What can you say about the correlation between the age of a car and its resale value?
a.
The trend line slopes downward from upper left to lower right, so there is a negative correlation between a car’s age and its resale value.
b.
The trend line slopes downward from upper left to lower right, so there is a positive correlation between a car’s age and its resale value.
c.
The trend line slopes upward from lower right to upper left, so there is a positive correlation between a car’s age and its resale value.
d.
There is no correlation between a car’s age and its resale value.
Please select the best answer from the choices provided
A
B
C
D
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
taking the practice assignment
Last week, an information centre had 950 visitors. This week it had 1026 visitors. What is the percentage increase?
Answer:
8%
Step-by-step explanation:
Find the percent increase by dividing the difference in visitors by the original amount, then multiply it by 100
(76/950) x 100
= 8
So, the percent increase is 8%
The graph represents the piecewise function: