Answer:
$1.4
Step-by-step explanation:
$5.25 + $1.75 = $7
20/100 × $7
= 20× 7 /100
= 140/100
= $1.4
If X=3+√8, find X square + 1/x square
Given :-
x = 3 + √8To find :-
x² + 1/x²Solution :-
According to Question,
x = 3 + √8 1/x = 1/3-√8 1/x = 1(3+√8)/(3+√8)(3-√8)1/x = 3+√8/3²-(√8)² 1/x = 3+√8/9-81/x = 3 + √8So that ,
x² + 1/x²(x + 1/x)² - 2( 3+√8+3-√8)²-29² - 281 - 279Which angles are alternate interior angles?
Answer:
<SRU and <TUW
Step-by-step explanation:
They are on opposite ends which makes them alternate interior angles
The length of the hypotenuse of a right triangle is one unit more than twice the height. What is the height of the triangle if the base is 8?
The height of the triangle if the base is 8 is 3.96 units
Given the following parameters
Base of a triangle = 8 units
Let the hypotenuse be "c"
Let the height be "h"
If the length of the hypotenuse of a right triangle is one unit more than twice the height, then;
c = 2h + 1
According to the Pythagoras theorem:
c² = b² + h²
(2h + 1)² = 8² + h²
Expand
4h²+4h+1 = 64 + h²
4h²-h² + 4h + 1 - 64 = 0
3h² + 4h - 63 = 0
Factorize the result
On factorizing, the value of the height is 2
h = [tex]\frac{-2}{3}+\frac{\sqrt{193} }3\\[/tex]
h = 11.89/3
h = 3.96 units
Hence the height of the triangle if the base is 8 is 3.96 units
Learn more here: https://brainly.com/question/20545047
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Same value as 40% of 84
Answer:
33.6
you are welcome :)
Step-by-step explanation:
The path of a baseball is given by the function: f(x)=-0.004x^2 + x + 3
, where f(x) is the height of the baseball (in feet) and x is the horizontal distance from home plate (in feet). Answer the following questions completely. Justify your answers algebraically.
(a) What is the maximum height reached by the baseball?
(b) If the baseball is not caught, how far from home plate does the ball hit the ground? Round your answer to one decimal place.
Answer:
The initial speed of the ball is 98.22 ft/s
The maximum height of the ball is 75.02 ft.
Step-by-step explanation:
Hi there!
Step-by-step explanation:
The position and velocity vectors of the ball can be calcualted as follows:
r = (x0 + v0 · t · cos α, y0 + v0 · t · sin α + 1/2 · g · t²)
v = (v0 · cos α , v0 · sin α + g · t)
Where:
r = position vector at time t.
x0 = initial horizontal position.
v0 = initial velocity.
t = time.
α = launching angle.
y0 = initial vertical position.
g = acceleration due to gravity (-9.8 m/s² considering the upward direction as positive).
v = velocity vector at time t.
Let´s call r final to the position vector when the ball is caught (see attached figure). The components of r final are:
x = 300 feet
y = 0
Then, r final = (300 feet, 0)
Notice that the origin of the frame of reference is located at the launching point.
Then, when the ball is caught:
300 feet = x0 + v0 · t · cos α
0 = y0 + v0 · t · sin α + 1/2 · g · t²
We have a system of two equations with two unknowns (t and v0), so, let´s solve it.
Let´s solve the first eqation for v0:
300 feet = x0 + v0 · t · cos α
Since the frame of reference is located at the launching point (x0 = 0). Then:
300 feet = v0 · t · cos 45°
300 feet /( t · cos 45°) = v0
Now, let´s replace v0 in the secod equation of the system:
0 = y0 + v0 · t · sin α + 1/2 · g · t² (y0 = 0)
0 = 300 feet/(t · cos 45°) · t · sin 45° - 1/2 · 9.8 m/s² · t²
0 = 300 feet · sin 45°/cos45° - 4.9 m/s² · t² (sin45°/cos45° = 1)
0 = 300 feet - 4.9 m/s² · t²
-300 feet = -4.9 m/s² · t²
-300 feet / -16.08 ft/s² = t²
t = 4.32 s
Now, we can calculate the initial velocity:
300 feet /( t · cos 45°) = v0
300 feet /( 4.32 s · cos 45°) = v0
v0 = 98.22 ft/s
The initial speed of the ball is 98.22 ft/s
To obtain the maximum height of the ball, we have to find at which time the ball is at its maximum height. We can do this in several ways, but we will use the equation of velocity. See in the figure that when the ball is at its maximum height, the y-component of the velocity is zero (because the vector is horizontal). Then, using the equation of the y-component of the velocity:
vy = v0 · sin α + g · t
0 = 98.22 · sin 45° - 32.15 ft/s² · t
(-98.22 · sin 45°) / - 32.15 ft/s² = t
t = 2.16 s
(Notice that this time is half the total time of flight calculated above (4.32 s). This is also the time at which the horizontal distance traveled by the ball is half the total horizontal traveled distance. This is so because the trajectory of the ball is a parabola).
Now that we have the time, we can calculate the y-component of the position vector (r1y in the figure).
r1y = v0 · t · sin α + 1/2 · g · t²
r1y = 98.22 ft/s · 2.16 s · sin 45° - 1/2 · 32.15 ft/s² · (2.16 s)²
r1y = 75.02 ft
The maximum height of the ball is 75.02 ft.
A normal population has a mean of 60 and a standard deviation of 12. You select a random sample of 9. Compute the probability the sample mean is : (a). Greater than 63. (b). Less than 56. (c). Between 56 and 63.
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.2266 = 22.66% probability that the sample mean is greater than 63.
b) 0.1587 = 15.87% probability that the sample mean is less than 56.
c) 0.6147 = 61.47% probability that the sample mean is between 56 and 63.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 60, thus [tex]\mu = 60[/tex].Standard deviation of 12, thus [tex]\sigma = 12[/tex].Sample size of 9, thus [tex]n = 9, s = \frac{12}{\sqrt{9}} = 4[/tex].Item a:
This probability is 1 subtracted by the p-value of Z when X = 63, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{63 - 60}{4}[/tex]
[tex]Z = 0.75[/tex]
[tex]Z = 0.75[/tex] has a p-value of 0.7734.
1 - 0.7734 = 0.2266
0.2266 = 22.66% probability that the sample mean is greater than 63.
Item b:
This probability is the p-value of Z when X = 56, so:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{56 - 60}{4}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
0.1587 = 15.87% probability that the sample mean is less than 56.
Item c:
This probability is the p-value of Z when X = 63 subtracted by the p-value of Z when X = 56.
These p-values were found in the previous items, so:
0.7734 - 0.1587 = 0.6147
0.6147 = 61.47% probability that the sample mean is between 56 and 63.
A similar problem is given at https://brainly.com/question/24663213
I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Solve for x: 7x = 4x + 27
x =
Answer:
x = 9
Step-by-step explanation:
Step 1: Subtract 4x from both sides.
[tex]7x - 4x = 4x + 27 - 4x[/tex] [tex]3x = 27[/tex]Step 2: Divide both sides by 3.
[tex]\frac{3x}{3} =\frac{27}{3}[/tex] [tex]x = 9[/tex]Step 3: Check if solution is correct.
[tex]7(9) = 4(9) + 27[/tex] [tex]63 = 36 + 27[/tex] [tex]63 = 63[/tex]Therefore, x = 9.
A supermarket advertises a new product by offering samples to customers. The table shows the number of samples distributed each hour. At what rate does the supermarket distributes samples?
Answer:
38 samples an hour, next time taken the first two numbers in the table and divide the one on the right by the one on the left
I will give Brainliest :)
Answer:
Step-by-step explanation:
if a box holds 24 1/8-in cubes what is the volume
Answer:
the box volume is 34
Step-by-step explanation:
so you add then multiply 24 by 1/8 and that make 34 and sorry if it's not correct I'm bad at matg
True or false
Quotient x Remainder + Dividend - Divisor
Ahmed went for a walk and covered 5-kilometre distance in 25
minutes. Help him to find his speed of walking.
5/0.25 = 20km/h
or
5000/1500 = 3.33m/s
Answer:
help with this https://brainly.com/question/25211060
Step-by-step explanation:
solve the inequality 2x + 3 < 7
A. x < 2
B. x > -2
C. x < -2
D. x > 2
Answer:
A. x < 2
Step-by-step explanation:
solution:
=2x<7-3
=2x<4
=x<2
each big square below represents one whole. What percent is represented by the shaded area
If Kamina can do a job in 43 hours and Simon and Kamina working together can do the same job in 15 hours, find how
long it takes Simon to do the job alone.
hours
Answer:
Answer:
645/28 hours
Step-by-step explanation:
In 1 hour, Kamina does 1/43 of the job.
Simon takes x hour to do the job alone.
In 1 hour, Simon does 1/x of the job.
Together, they do the job is 15 hours, so in 1 hour, they do 1/15 of the job.
1/43 + 1/x = 1/15
15x/(645x) + 645/(645x) = 43x/(645x)
15x + 645 = 43x
28x = 645
x = 645/28
A farmer sold did he sell? of his sheep. His original flock was 300 sheep. How many sheep did he sell?
all of his sheep
Hope that helps :)
c. The number of men in a community is 2,400. If the ratio of women to men in the community is 5:4,
find
i. The total number of people in the community.
ii. The number of women in the community.
iii. How many more women are there than men if 400 men joined the community.
Help plsss! I don’t get this
can anyone heelp me pls pls
Answer: liquid= lotion capsule= solid suspension=semisolid
Step-by-step explanation:
How to find the Smallest value?
3/8
3/4
1/2
7/8
5/6
Answer:
Make all fractions have the same common denominator, and you will find that 3/8 is the smallest value.
Step-by-step explanation:
What is the equation of the following line be sure to scroll down first to see all answer options
Answer:
b
Step-by-step explanation:
mark me as brainliest have a great day
Solve the problems. Write the complete proof in your homework and for online (only) respond to questions or statements (if any) that are parts of your proof or related to it.
Step-by-step explanation:
Well we know that ZACB=LABC because
AABC is isosceles, so base angles theorem applies.
m<ACB=70°
So mzDCE=m/DEC-35° because of base angles theorem, and because mzDCE=m/ACB-m<ECB=70°-35°
Finally, DE || CB because the alternate interior angles ECB=<DEC
What is the coefficient of 5(-t)
HELPPP
Answer:
-5
Step-by-step explanation:
Here are the steps to take in calculating the correlation coefficient:
Determine your data sets.
Calculate the standardized value for your x variables.
Calculate the standardized value for your y variables.
Multiply and find the sum.
Divide the sum and determine the correlation coefficient.
James has $10 less than three times the amount Amy has. Which expression represents James' amount if Amy has d dollars?
Answer:
james has 3d-10
Step-by-step explanation:
Amy has d dollars
james has 10 less than 3 times Amy's amount
so the answer will be 3d - 10
hope it helps : )
The expression that represents James' amount is 3d - 10. Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
A sentence-to-equation translation is a process of turning a given statement into an expression or equation.
James has $10 less than Amy, who has three times as much money.
Let d be the amount Amy has. Then the expression is given as,
⇒ 3d - 10
The expression that represents James' amount is 3d - 10. Then the correct option is A.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ5
The missing options are given below.
a) 3d - 10
b) 10 - 3d
c) 3d - 30
d) 30 - 3d
I need help with this question. Please & thank you!
B
dividing with the same numbers and different exponents is like subtracting the exponents
16-8 = 8
3-3-2-2-2 written as a whole number
Answer:
I think this would be 33,222 I don't know I feel positive about this.
Step-by-step explanation:
PLEASE HELP ITS MATH THANK YOUUUU
Answer: 7:1
Step-by-step explanation:
The answer is 7:1 because when referring to ratios the answer has to correspond to a group of items to something else. In this case, we are comparing 7 inches to a yard.
Correct answer gets brainiest
Answer:
[tex]x + 2x + a + 90 \degree = 360\degree \\ x + 2x + 132\degree + 90 \degree = 360\degree \\ 3x + 222\degree = 360\degree \\ 3x = 360\degree - 222\degree \\ 3x = 138\degree \\ x = \frac{138\degree}{3} \\ \boxed{ x = 46\degree}[/tex]
What do you already know about credit cards?
Answer:
A credit card is a payment card issued to users to enable the cardholder to pay a merchant for goods and services based on the cardholder's accrued debt.
Step-by-step explanation:
