Work out what x =
Please and explication
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Suppose Tetha = alpha = 26°
Then ;
[tex] \tan( \alpha ) = \frac{y}{x} \\ [/tex]
[tex] \tan(26°) = \frac{8}{x} \\ [/tex]
[tex]0.487 = \frac{8}{x} \\ [/tex]
Multiply sides by x
[tex]0.487x = 8[/tex]
Divide sides by 0.487
[tex]x = \frac{8}{0.487} \\ [/tex]
[tex]x = 16.427[/tex]
[tex]x≈ 16.43[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
find specified geometric series of the following geometric sequences of 3, 12, 48,... S7 with solution?
Answer:
Step-by-step explanation:
The formula for fundung the nth term of t geometeric series is expressed as;
Tn = ar^(n-1)
a is the first term
n is the number of term
r is the common ratio
Given
a = 3
r = 21/3 = 48/12 = 4
Substitute
Tn = 3(4)^(n-1)
Tn = 3(4^n/4)
Tn = 3/4(4^n)
Tn = 0.75(4^n)
Hence the nth term of the geometric series is Tn = 0.75(4^n)
To get any term, simply substitute the value of into the equation
The cashier counts $2500in $100 bills. She exchanged all the $100 bills for $10 bills. How many $10 bills does she receive?
Answer:
250
Step-by-step explanation:
need help on this please
The winner of a gymnastics competition scored a total of 22.1 points. She won by 0.676 points.
How many points did the second-place gymnast score? please explain how
Answer:
21.424
Step-by-step explanation:
22.1 - 0.676 = 21.424
im not sure if it is correct but i think its like this
The incubation period for the eggs of a house wren is normally distributed with a mean of 336 hours and a standard deviation of 3.5 hours.
Find the probability that an egg has an incubation period between 328 and 338 hours.
Suppose a researcher has fifteen house wren eggs in an incubator. Find the probability that the average incubation time for the fifteen eggs is greater than 337 hours.
Suppose it is known that 33% of House wren eggs never hatch. Suppose an ornithologist has forty house wren eggs. Find the probability that less than 25% never hatch.
Answer:
a) 0.705015
b) 0.13424
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
The incubation period for the eggs of a house wren is normally distributed with a mean of 336 hours and a standard deviation of 3.5 hours.
a) Find the probability that an egg has an incubation period between 328 and 338 hours.
For x = 328
z = 328 - 336/3.5
z = -2.28571
Probability value from Z-Table:
P(x = 328) = 0.011135
For x = 338
z = 338 - 336/3.5
z = 0.57143
Probability value from Z-Table:
P(x = 338) = 0.71615
The probability that an egg has an incubation period between 328 and 338 hours.
P(x = 338) - (P(x = 328)
0.71615 - 0.011135
= 0.705015
b) Suppose a researcher has fifteen house wren eggs in an incubator. Find the probability that the average incubation time for the fifteen eggs is greater than 337 hours.
We are given a sample of 15 wren eggs,
We use this z score formula
z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation
n is random number of samples
z = 337 - 336/3.5/√15
z = 1.10657
Probability value from Z-Table:
P(x<337) = 0.86576
P(x>337) = 1 - P(x<337) = 0.13424
Suppose it is known that 33% of House wren eggs never hatch. Suppose an ornithologist has forty house wren eggs. Find the probability that less than 25% never hatch.
If the ages in a classroom were 11, 12, 12, 13, 13, 14 - what would the median age be if you added someone that was 10 years old?
Answer: 12 years old
Step-by-step explanation:
10,11,12,12,13,13,14
The middle in these numbers is 12
What is 14/8 as a mixed number
Answer: Well u would have to divide first and you would get 1 and what is left over would be the numerator which would be 6 and the denominator would stay the same.
Therefore saying that the answer will be 1 6/8
Step-by-step explanation:
Each side of a regular polygon is 5.2 m and its perimeter is 36.4 m. Find the number of sides of the polygon.
Answer:
Number of sides of the polygon is 7.
Step-by-step explanation:
Let x be the number of sides of the polygon.
Given ,
Length of each side = 5.2 m
Perimeter = 36.4 m
=> 5.2*x = 36.4
x = 36.4/5.2
x = 7
5/25 in its simplest form
Answer: [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\frac{5}{25} =\frac{1}{5}[/tex]
Can anyone help me solve point 1?
Answer:
Option C
Step-by-step explanation:
I took this before
Answer:
C
Step-by-step explanation:
take out the brackets and merge them
Find all x-intercepts of the function. Express your answer as a list of x-values
f(x) = x^3+x^2+x-1
Answer:
(0.54368901,0)
Step-by-step explanation:
Subsititute 0 for y and solve to find the x-intercepts.
Solve for e 0.75(8+e)=2-1.25e
Of 200 employees of a store located in downtown Boston, 72 people take the subway to work, 48 take the bus, and 28 people take both the subway and the bus. How many employees
(a) Take the subway or the bus to work?
(b) Take only the bus to work?
(c) Take either the bus or the subway to work (but not both)?
(d) Get to work by some other means?
Answer:
45y
Step-by-step explanation:
what is the greatest common factor of 14x+28+21
Answer:
7 (2x+7)
Step-by-step explanation:
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︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
Answer:
The greatest common factor is 7.
Step-by-step explanation:
7 x 2 = 14
7 x 4 = 28
7 x 3 = 21
The figure shown has two parallel lines cut by a transversal:
Use the figure to complete the sentence.
∠6 and ____ are corresponding angles.
a
∠2
b
∠3
c
∠7
d
∠8
Answer:
A, angle 2
Step-by-step explanation:
brainliest pls i really appreciate it
Solve the following inequality using the algebraic approach:
5x-1 < 2x + 11
Answer:
[tex]\boxed {x < 4}[/tex]
Step-by-step explanation:
Solve the given inequality:
[tex]5x - 1 < 2x + 11[/tex]
-Take [tex]2x[/tex] and subtract it from [tex]5x[/tex]:
[tex]5x - 1 - 2x < 2x - 2x + 11[/tex]
[tex]3x - 1 < 11[/tex]
-Add both sides by [tex]1[/tex]:
[tex]3x - 1 + 1 < 11 + 1[/tex]
[tex]3x < 12[/tex]
-Since [tex]3[/tex] is positive, then the inequality sign remains the same. So, divide both sides by [tex]3[/tex]:
[tex]\frac{3x}{3} < \frac{12}{3}[/tex]
[tex]\boxed {x < 4}[/tex] (final answer)
The volleyball team raised $350 from its fundraiser. It wants to buy jerseys and volleyballs. The jerseys cost $12 each, and the team needs 22 jerseys. Volleyballs cost $15 each. What is the maximum number of volleyballs the team can buy and still have money left? Write your answer and explain the steps you took. WILL GIVE BRAIKNLIEST IF RIGHT!!!!!!!!
Answer:
6
Step-by-step explanation:
Answer:
The team can buy 5 volleyballs at maximum with no money left over.
Step-by-step explanation:
First, you need to find the money that the jerseys used:
12 × 22 = $264
Next, you have to subtract that from the total amount:
350 - 264 = $86
Finally, you have to see how many volleyballs you can buy:
If volleyballs cost $15 each then, 86 ÷ 15 = 5.73333333(Infinite)
But you can not buy part of a volleyball so you would have to buy 5 volleyballs. Then you would only have .7333333(Infinite) money left over, but that wouldn't be good for anything.
Is this a good answer????
HELPPPPPPP PLEASEEEEE
Answer:
D
Step-by-step explanation:
Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)
x^2 + 2y^2 = 17k^2
Answer:
y = Ax^2
Step-by-step explanation:
below is the detailed solution
To determine the orthogonal trajectories of the family of curves
X^2 + 2y^2 = 17k^2
we have to differentiateX^2 + 2y^2 = 17k^2 with respect to x
= 2x + 4y dy/dx = 0
Hence : dy/dx = - x/2y
we have to determine the negative reciprocal
dy/dx = 2y/x ----------- 1
integrate equation 1
∫dy/2y = ∫dx/x
= 1/2 log y = log x + log c
log y = 2logx + 2logc
log y = logx^2 + logC^2
therefore : y = Ax^2 ; where C^2 = A
How do you do this question?
Answer:
∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Step-by-step explanation:
Start with the Maclaurin series for cos x.
cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!
Substitute ⅓ x².
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
Multiply by 8x.
8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
If 3x + 7 = 5 for some value of x, then what does the expression 6x +17 equal for the same value of x?
Answer:
13
Step-by-step explanation:
First, double the first equation.
If 3x+7=5, then 6x+14=10
Since they are asking for 6x+17, the answer is 10+3=13
Hope I helped!
After 10 years, the principal on this mortgage is $136,683. How much of the next payment will go towards interest
Answer:
26123 is the answer have a good day
Contact forces are actions that take place only when objects are touching each other. Non-contact forces are actions that can take place whether objects are touching or not. Which of the following is a non-contact force? A. impact force B. gravity C. air resistance D. pushing
Answer:
I am pretty sure it is Gravity..
Step-by-step explanation:
Select the correct answer.
Select the place of the digit 9 in this number.
269,478
ten thousands
hundreds
one thousands
ones
hundred thousands
tens
Wich steps are needed to solve this equation b+6=21
Answer:
b=15
Step-by-step explanation:
Put these rational numbers in ascending order: 1/2, 55%, 1/3, 0.52
O 1/2, 55%, 1/3, 0.52
O 55%, 0.52, 1/2, 1/3
O 1/3, 1/2, 0.52, 55%
O 1/3, 0.52, 1/2, 55%
Answer:
1/3, 1/2, .52, 55%
Step-by-step explanation:
Lines
AB
and
CD
are straight lines. Find x and y. Give reasons to justify your solutions.
Answer:
x = 18
y = 54°
Step-by-step explanation:
m<MON = 90° (given)
m<MOA = 72° (given)
m<AON + m<MOA = m<MON (Angle Addition Postulate)
m<AON + 72° = 90° (Substitution)
Subtract 72° from each side
m<AON = 90° - 72°
m<AON = 18°
m<AOD = 18° + 2x
m<BOC = 3x
m<AOD = m<BOC (vertical angles)
18 + 2x = 3x (Substitution)
Subtract 2x from each side
18 = 3x - 2x
18 = x
x = 18.
72° + y + 3x = 180° (angles on a straight line)
Plug in the value of x
72 + y + 3(18) = 180
72 + y + 54 = 180
126 + y = 180
Subtract 126 from both sides
y = 54
What is the sum of 2.33 × 104 and 9.001 × 106
Answer:
1196.426
Step-by-step explanation:
Answer: 1196.426
Step-by-step explanation:
Which linear equation can be derived from this proportion?
[tex]\frac{x - 9}{x - 3} = \frac{2}{5}[/tex]
A. 2x - 3 = 5x - 9
B. 2x - 9 = 5x - 3
C. 2x - 18 = 5x - 15
D. 2x - 6 = 5x - 45
9514 1404 393
Answer:
D. 2x - 6 = 5x - 45
Step-by-step explanation:
To make the linear equation, we can multiply the given equation by 5(x-3).
[tex]\dfrac{x-9}{x-3}=\dfrac{2}{5}\\\\\dfrac{(x-9)(5)(x-3)}{(x-3)}=\dfrac{2(5)(x-3)}{5}\\\\5(x-9)=2(x-3)\qquad\text{looks like }\textit{cross multiply}\\\\5x-45=2x-6\qquad\text{use the distributive property; matches D.}[/tex]
Answer:
The correct answer is D. 2x-6=5x-45
Step-by-step explanation:
I got it right on the Plato test.
