use the formula a^3+b^3=(a+b)^3-3ab(a+b)
in above question assume (a+b) as a and 1 as b
take help of file above
A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance traveled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 7 miles. Find the probability of the following events: a. The car travels more than 69 miles per gallon. Proba
Answer:
0.28386
Step-by-step explanation:
Given that :
Mean, μ = 65 miles
Standard deviation, σ = 7 miles
Probability that car travels more than 69 miles per gallon :
Recall,
Z = (x - μ) / σ ; x = 69
Z = (69 - 65) / 7 = 0.5714
The probability :
P(Z > z) = P(Z > 0.5714) = 1 - P(Z < 0.5714)
P(Z > 0.5714) = 1 - P(Z < 0.5714) = 1 - 0.71614 = 0.28386
P(Z > 0.5714) = 0.28386
A helicopter hovers 500 m above a long straight road. There is a truck to the left and right of the helicopter. The angles of depression of the two trucks from the helicopter are 60° and 20°. How far apart are the two trucks?
Answer:
1045.01 rounded to the nearest hundredth
Step-by-step explanation:
First, we can draw this out. The angle of depression is the angle formed by the object at the top and the line formed by the object at the top and the object at the bottom.
If the truck on the left is truck A and the truck on the right is truck B, with the helicopter being the circle on top, there is one 60 degree angle of depression and one 20 degree one. If we make a point at the point in the road the helicopter is straight above, and we connect the points, we can form two right triangles, as shown. If we can calculate the lengths of sides x and y, we can add them up to find the length between the two trucks.
Starting with side x, we know one angle and the side length adjacent to that angle. We want to find the length opposite that angle. One formula that encompasses this is tan(θ) = opposite/adjacent. Therefore, tan(60) = x/500
tan(60) = x/500
multiply both sides by 500 to isolate the x
tan(60) * 500 = x
x = 866.0254
Similarly, with side y, we can say that tan(20) = y/500 and
tan(20) * 500 = y
y= 181.9851
The distance between the two trucks can be shown as x+y, so x+y= 1045.01 rounded to the nearest hundredth
I have been having a lot of trouble with this assignment and I don't really understand some of the graph so if anyone can a little help would be great
Answer:
1. The graph represents the inequality y > 2x + 1
2. The y-intercept (where a line meets the y-axis) is at point (0,1). This line rises by 2 for every point it moves to the right (this is called the slope). A dotted line means that point on the line are not included in the solution set, thus you use the > symbol.
NEED THE CORRECT ANSWER ASAP, PLEASE HELP!!! Drag and drop the expressions into the boxes to correctly complete the proof of the polynomial identity.
(x2+y2)2+2x2y2−y4=x2(x2+4y2)
Answer:
See attachedStep-by-step explanation:
The proof is attached
The first line is according to the identity:
(a + b)² = a² + 2ab + b², where a = x² and b = y²The second line is simplification where y⁴ cancels and 2x²y² doubles.
The third line is about taking the common factor of x² and factorizing.
is 9y+3=0 a nonlinear ?
Answer:
Its not nonlinear
Step-by-step explanation:
Answer:
no, it is a linear function as y has a degree of 1
C={X:X is even number X less than n equal to 7}
Answer:
ok
Step-by-step explanation:
ok
4.32/3.6=
please help soon!!
Answer:
if this is division it's 1.2.
Step-by-step explanation:
just divide it of its division if not sorry
Answer:
1.2
Step-by-step explanation:
Annabeth has $29.00 to spend at the sporting goods store.
She buys a T-shirt that costs $15.32. She spends all of her
money. She also wants to buy a soccer ball for $13.68, a
baseball cap for $8.39, a set of shin guards for $14.98, or a
water bottle for $5.93.
*Need asap* (might give brainiest if I can)
Hi there!
»»————- ★ ————-««
I believe your answer is:
The soccer ball.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'c'...}}\\\\15.32 + c = 29.00\\-----------\\\rightarrow 15.32 - 15.32 = 29.00 - 15.32\\\\\rightarrow \boxed{13.68}[/tex]
⸻⸻⸻⸻
She would have $13.68 dollars left. Her second item should be the soccer ball.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Can someone PLEASE answer the Algebra Question CORRECTLY BELOW!
Thank you, I will mark brainiest!
From The picture 2 barrels = 73 gallons
Divide by 2 for gallons per barrel:
73/2 = 36.5 gallons per barrel
Multiply gallons per barrel barrels:
36.5 x 0.045 = 1.6425 gallons.
Rounded to 2 decimals = 1.64
Simplify
(+8)-(-4)+(-5)
Answer:
17
Step-by-step explanation:
8+4+5=17
Answer:
7
Step-by-step explanation:
(+8)-(-4)+(-5)
=8+4-5
=12-5
=7
will mark brainliest! PLEASE!
Answer:
a) There are two possibilities for rigid transformation:
(i) 180° counterclockwise rotation around point B.
(ii) 180° clockwise rotation around point B.
b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.
c) The corresponding angles and sides are presented below:
[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]
[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]
Step-by-step explanation:
a) There are two possibilities for rigid transformation:
(i) 180° counterclockwise rotation around point B.
(ii) 180° clockwise rotation around point B.
b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.
c) The corresponding angles and sides are presented below:
[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]
[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]
Solve for X. Geometry
Answer:
x=12
Step-by-step explanation:
LM + MN = LN
2x-16 + x-9 = 11
Combine like terms
3x-25=11
Add 25 to each side
3x-25+25 = 11+25
3x = 36
Divide by 3
3x/3=36/3
x = 12
Can someone help me with this?
⬇️
-2(10 + x) = 4
Answer:
x = -12
Step-by-step explanation:
-2(10 + x) = 4
Divide each side by -2
-2(10 + x) / -2 = 4/-2
(10 + x) = -2
Subtract 10 from each side
10+x-10 = -2-10
x = -12
The solution to this equation is: x = -12
What is the first degree equation?First degree equation is an equality between members where we find at least one variable.
How to solve this equation?We have the equation:
[tex]\sf -2(10+x)=4[/tex]
First, we must apply the distributive property.
[tex]\sf -20-2x=4[/tex]
Now we move the independent term to the second degree.
[tex]\sf -2x=4+20[/tex]
We add similar terms.
[tex]\sf -2x=24[/tex]
We isolated the term "x".
[tex]\sf x=\dfrac{24}{-2}[/tex]
Finally, we carry out the division. Discovering, in this way, the solution.
[tex]\boxed{\boxed{\sf x=-12}}[/tex]
construct a quadrilateral PQRS such that PQ=RS=7.3cm,angle Q=60°,QR=5cm and angle R=135°.
Answer:
is your answer how are you
help asap------------
Answer:
the real is -19
the imaginary is -24 (or -24i depending on what the computer is looking for as an answer)
Step-by-step explanation:
Help pls
You add the same amount of money to your savings each week. At week 5 you have $45. At week 12 you have $80. How much money do you have at week 20?
Answer: $120
First, create a function
x = number of weeky = amount of money in savingsa = amount of money added each weekb = the amount of money in savings at week 0[tex]\left \{ {{5a+b=45} \atop {12a+b=80}} \right.\\\\(5-12)a+(1-1)b=45-80\\\\-7a=-35\\\\a=\frac{-35}{-7} =5\\\\5a+b=45\\\\5(5)+b=45\\\\b=45-25=20[/tex]
Therefore, the function is y = 5x + 20
To find the amount of money at week 20, set x = 20 and solve:
[tex]y=5(20)+20=100+20=120[/tex]
Therefore, the answer is $120.
In figure above, if l1 | | l2 then value of x is:
a) 40°
b) 50°
c) 80°
d) 100°
Answer:
its letter c so 80
Step-by-step explanation:
I hope this help
Please help explanation if possible
Sam feels that students score better on math tests that take place on Fridays. The school provides Sam with the school math test average, but they cannot separate them by date taken. The school is too large for him to ask every student, so he randomly selects a sample of willing students' test scores after the next Friday's math test. He uses the method of hypothesis testing to compare the Friday scores against the true average of all scores. Frame the correct set of hypotheses for his research. Decide where the rejection region will lie.
Answer:
H0 : μ ≤ x
H1 : μ > x
The hypothesis :
The null hypothesis, H0 : μ ≤ x
The alternative hypothesis, uses the Friday score samples to compare the hypothesis ;
The alternative hypothesis, H1 : μ > 8
For then null, the mean scores is assumed to be the same, and has such mean of Friday's test score takes the value of the population.
Let the population mean value = x
The alternative hypothesis is the claim that the sampled mean gives a greater value than the population mean :
H1 : μ > x
How did you solve 43? I need explanation I’ll give brainliest
Answer:
Its 6
Step-by-step explanation:
Answer:
C. 4
Step-by-step explanation:
There are a total of 24 marbles. If you take out 8 of them, that leaves you with 16 marbles left. After doing that, if the chances of withdrawing a white marble are now 1/4, then there would have to be 4.
4/16 = 1/4
Three subtracted by a square of a number
Answer:
3-x^2
Step-by-step explanation:
Let x be the number
The square is x^2
3 subtract the square of a number
3-x^2
The area under the standard normal curve to the right of z = -0.51 is 0.6950. What is the area to the left of z = 0.51?
Answer:
0.305
Step-by-step explanation:
We are told that area under the standard normal curve to the right of z = -0.51 is 0.6950
Thus, to get the area to the left, we just subtract 0.6950 from 1.
Thus;
area to the left of z = 0.51 is;
P( z < 0.51) = 1 - 0.6950 = 0.305
In the given figure, if AOB is a straight line, then ∠BOC is
Answer:
acute angle.
Step-by-step explanation:
because it is 60 degree
Nếu AOB là một đường thẳng thì góc BOC =90°
if my mine craft house was burning leaves irl and i was watering my boat on a Wednesday on a weekend in December when its summer how many fish will become orphans late nights in the middle of june?
PLEASE HELP AND EXPLAIN!!
Answer:
D
Step-by-step explanation:
This isnt a cartisean coordinate plane so A is wrong. One of our points is at
[tex] - 3 + i[/tex]
Because it coincide with real number 3, and negative imaginary number i.
Conjugates are terms with opposite inverse of terms.
So our conjugates is
[tex] - 3 - i[/tex]
Find the length of each segment.
W X
Y
--5
0
5
5. WX
6. WY
The length of the line segments WX and XY will be 2 and 9, resprectively.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
The three points are W, X, and Y on the line.
From the diagram, the distance between the points W and X which is the line segment WX will be 2.
Similarly, from the diagram, the distance between the points W and Y which is the line segment WY will be 9.
More about the line segment link is given below.
https://brainly.com/question/25727583
#SPJ2
PLEASE HELP!
Part C
What if the first six-sided die is replaced by an eight-sided die. How can you change the table to show the sample space for rolling an eight-sided die and then a six-sided die? Explain.
Answer:
If the first die is changed from a six-sided to an eight-sided die, add two rows to the bottom of the table and number them 7 and 8.
Step-by-step explanation:
Answer:
If the second die is changed from a six-sided to an eight-sided die, add two columns to the right of the table and number them 7 and 8.
Step-by-step explanation:
a family block of Chocolate is made up of 6o small squares
manica eats 10 square John eats 9 Squares and holly eats
5 squares what is the fraction of the block of chocolate
is left
Answer:
a family block of Chocolate is made up of 6o small squares
manica eats 10 square John eats 9 Squares and holly eats
5 squares what is the fraction of the block of chocolate
is left
Step-by-step explanation:
i think its answer is 36
FIRST ANSWER GETS BRAINLIEST!!
(sorry for the colors on the picture)
It is the 3rd answer
Estimate 3 divided by 1788
Answer:
Maybe the answer for ur question is 1/596 if the 3 divides the number if not then it's only 596