Answer:
46.08 feet.
Step-by-step explanation:
Given that, for length, [tex]l[/tex] feet, the time period, [tex]f(l)[/tex], of the pendulum is
[tex]f(l)=2\pi\sqrt{\frac{l}{32}}[/tex].
As the time period equals the time taken by the pendulum in one back and forth motion, so, actually, the given [tex]2.4\pi[/tex] seconds to swing back and forth is the time period.
Let [tex]l_0[/tex] feet be the length of the pendulum for the time period [tex]2.4\pi[/tex] seconds, so
[tex]f(l_0)=2.4\pi[/tex]
[tex]\Rightarrow 2\pi\sqrt{\frac{l_0}{32}}=2.4\pi[/tex]
[tex]\Rightarrow \sqrt{\frac{l_)}{32}}=1.2[/tex]
[tex]\Rightarrow \frac{l_0}{32}=(1.2)^2[/tex] [squaring on both the sides]
[tex]\Rightarrow l_0=1.44\times32[/tex]
[tex]\Rightarrow l_0=46.08[/tex]
Hence, the approximate length of a pendulum that takes [tex]2.4 \pi[/tex] seconds to swing back and forth is 46.08 feet.
Answer:
the answer is d on edge 2020
Step-by-step explanation:
I need to write this in standard form
Answer:
10f+7g-9
Step-by-step explanation:
(10f-6+5g)-(-2g+3)
(10f-6+5g)+(2g-3)
(10f)+(5g+2g)+(-6-3)
10f+7g-9
Find the coordinates of H if X(-8, 4) is the midpoint of GH and G(2, -9).
Step-by-step explanation:
Hey there!
The given midpoint is; X(-8,4) and G(2,-9).
To find: H
Now; You need to use formula for midpoint.
[tex]midpoint(x) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Put all values.
[tex]( - 8,4) = (\frac{ 2 + x}{2} , \frac{ - 9 + y}{2} )[/tex]
As they are equal, their corresponding elements are equal.
[tex] - 8 = \frac{2 + x}{2} [/tex]
[tex] - 16 - 2 = x[/tex]
x = -18
[tex]4 = \frac{ - 9 + y}{2} [/tex]
[tex]4 \times 2 = - 9 + y[/tex]
[tex]8 + 9 = y[/tex]
[tex]y = 17[/tex]
Therefore, y = 17.
Therefore, H =( -18,17).
Hope it helps....
Answer:
(-18, 17)Step-by-step explanation:
Given Line segment GH with midpoint X(-8, 4) and G(2, -9)To findCoordinates of H(x, y)SolutionUsing midpoint formula
(2 + x)/2 = -8 ⇒ x + 2 = -16 ⇒ x = -18(-9 + y)/2 = 4 ⇒ y - 9 = 8 ⇒ y = 17So the coordinates of H are
(-18, 17)Help me with them all
Answer:
Angles 1, 3, 5, 7, 9, 11 are going to be 100 degrees
Angles 4, 2, 8, 6, 12, 10 are going to be 80 degrees.
Step-by-step explanation:
We know when there are 2 parallel lines we have vertical angles.
x/7+x-2/14=1/7
Please answer x as a fraction!
Answer:
x = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{7}[/tex] + x - [tex]\frac{2}{14}[/tex] = [tex]\frac{1}{7}[/tex]
Multiply through by 14 to clear the fractions
2x + 14x - 2 = 2 ( add 2 to both sides )
16x = 4 ( divide both sides by 16 )
x = [tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]
Anyone have an idea?
Answer:
yes I have an idea jnhvhbvcf
Answer: option C.) an 1.2 (n-1) -5 Sorry, no subscript for "a sub n"
Step-by-step explanation:
Substitute the values of n 1,2,3,4 and see if the output is the corresponding number in the sequence.
n = 1 2 3 4
-5 -3.8 -2.6 -1.4
an= 1.2 (n-1) -5 the n-1 needs to be a number multiplied by 1.2 produces a number added to -5 results in the number in the sequence.
a1=1.2(1-1) -5 a= 1.2(0) -5 a= -5
a2 1.2 (2-1) -5 a= 1.2(1) -5 a= -1.2 -5 a= -3.8
a3 1.2 (3-1) -5 a= 1.2(2) -5 a= -2.4 -5 a= -2.6
a4 1.2 (4-1) -5 a= 1.2(3) -5 a= -3.6 -5 a= -1.4
Simplify the expression
Answer: 7c + 2
Step-by-step explanation:
Combine like terms hope this helps
the area of an equilateral triangle with Side 2 cm is
Answer:
Here side(a) = 2 cm. = (√3/4) (2)². = (√3/4) x (2) x (2). = (√3). = √3 cm².
Step-by-step explanation:
A = √3 cm²
Step-by-step explanation:Hi there !
use formula for area of equilateral triangle
[tex]A=\frac{s^{2} \sqrt{3}}{4}[/tex]
s = side
A = (2cm)²√3/4
= 4√3cm²/4
= √3 cm²
Good luck !
Harry's dog weighs 10 3/8 pounds. What is the weight of Harry's dog written as a decimal?
Answer:
10.375
Step-by-step explanation:
You can tell that 10 is going to be before the decimal because it's already a whole number, so all you have to do is figure out what 3/8 is as a decimal! In case you didn't know, to change a fraction to a decimal, you divide the numerator (the top number) by the denominator (the bottom number). In this case, you need to divide 3, the numerator, by 8, the denominator. 3/8 = 0.375.
So, put the 10 in front of the decimal point and you're done...the answer would be 10.375!
Have great day :3
Enter an expression that represents the following statement, and then solve the expression. 4 less than the product of 7 and -14. The expression is The value of the expression is.....
Answer:
(7*-14)-4
Step-by-step explanation:
Answer:
7(-14) - 4 = x
-98-4=x
-102=x
Find (x+y)^2 when (x-y)=5 and xy=24
Formula:
(a+b)^2 -(a-b)^2 =4ab
(7)
Answer:
(x + y)² = 121
Step-by-step explanation:
Using the identity
(x + y)² - (x - y)² = 4xy , then
(x + y)² - 5² = 4(24) , that is
(x + y)² - 25 = 96 ( add 25 to both sides )
(x + y)² = 121
Joe lives in a city that is 15 feet below sea level. How could he
represent his elevation as an integer?
Answer:
He could say that he is -15 feet as seen from the sea level
The given statement can be represented in an integer as -15.
Given that, Joe lives in a city that is 15 feet below sea level.
We need to find how could he represent his elevation as an integer
How will you represent a sea level as an integer?Whole numbers less than zero are called negative integers (-). These numbers are to the left of zero on the number line. Zero is neutral. It is neither positive nor negative.
Now, 15 feet below sea level can be represented as -15.
Therefore, the given statement can be represented in an integer as -15.
To learn more about an integers visit:
https://brainly.com/question/9072350.
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the differnce between 3 and 11
Answer:
-8
Step-by-step explanation:
2. Jacob deposited $6,000 into an account that offers 4.5% interest compounded annually.
He makes no additional deposits or withdrawals.
Which amount is closest to the interest Jacob will have earned at the end of 10 years?
A $9,317.82
B $270.00
C $3,317.82
D $2,700.00
Answer: a
Step-by-step explanation:
Given that MQL =180° and XQR = 180°, which equation could be used to solve problems involving the relationships
between XQL and MQR?
A.(146-4b)=(122-1b)
B. (146-4b)+(122-1b)=180
C(146-4b)-(122-1b)=180
D.(122-1b)-180=(146-4b)
Answer:
Option A is the right answer.
146-4b = 122-1b
Reason: vertical angles
Answer:
a
Step-by-step explanation:
-4<-2(3x+9)+5<1 Please help
Answer: if ur looking for interval notation its (-7/3,-3/2) ; if ur solving for x then its -7/3<x<-3/2
Step-by-step explanation:
A father's age is three times the sum
of the ages of his two children.After 5
years his age will be two times the sum
of their ages.Find the present age of the
father
Simplify the following to an expression involving a single
trig function with no fractions.
Answer
Step-by-step explanation:
cos x
A screwdriver is dropped from the top of an elevator shaft. Exactly 6.0 seconds later, the sound of the screwdriver hitting bottom is heard. How deep is the shaft? Hint: The distance that a dropped object falls in t seconds is represented by the formula s = 16t2. The speed of sound is 1100 ft/sec. The shaft is approximately (Round to the nearest tenth.) | feet deep.
Answer:
Step-by-step explanation:
Using the equation of motion
S = ut+1/2gt²
S is the height of fall
g is the acceleration due to gravity = 9.81m/s²
u is the initial velocity = 0m/s
t is the time = 6s
Substitute in the formula;
S = 0+1/2(9.81)×6²
S = 4.905×36
S = 176.58m
The shaft is 176.58m deep
Given the expression for distance
S = 16t²
Velocity V = dS/dt
V = 32t
Given v = 1100
1100 = 32t
t = 1100/32
t = 34.375secs
Substitute t = 34.375 into S = 16t²
S = 16(34.375)²
S = 18,906.25ft
Slope (4,5)
Y-intercept b=172
What is the equation?
Answer:
y= 4/5 + 172
Step-by-step explanation:
this equation is in slope intercept form which is y= mx +b
PLEASE HELP ILL GIVE 37 POINTS!!!!!!! Instructions: Complete each question by choosing or typing in the best answer.
1)
What is the sum of 14 and the opposite of 12?
A) -26
B) -2
C) 2
D) 26
2) Determine the distance between -7 and 7.
A) -14 units
B) 0 units
C) 7 units
D) 14 units
3)
A football player caught the ball and made a gain of 8 yards on the first play. On the next play the team lost 12 yards. How many yards do they need to gain on the next play to get back to their original position?
A) 4
B) 6
C) 8
D) 12
5)
On Monday morning the temperature was 38°F, but by the afternoon the temperature had risen 22°F. On Tuesday morning the temperature had dropped 27°F since Monday afternoon, but then rose 10°F by the noon. How many degrees above or below 38°F is the temperature on Tuesday at noon?
A) 5°F below
B) 5°F above
C) 12°F below
D) 12°F above
Answer:
1 - C)2 - D)3 - A)5 - B)Step-by-step explanation:
1) =========================
14 + (-12) = 14 - 12 = 2Option C)2) =========================
7 - (-7) = 7 + 7 = 14Option D)3) =========================
8 + (-12) = 8 - 12 = - 4- 4 + 4 = 0Option A)5) =========================
22 - 27 + 10 = 5Option B)Answer:
1.) C
2.) C
3.) A
5.) B
Step by-step explanation:
1.) because 14 is positive and the opposite of 12 is -12. So 14+-12=2!
2.) to get to 7 from -7 you would have to take 7 units to get there.
3.)Given that a football player caught the ball and made a gain of 8 yards on the first play. On the next play the team lost 12 yards.we are to find the number of yards needed to gain on the next play to get back to their original position.Let, x be the number of yards that the team had originally.On the next play, the team lost 12 yards, let 'k' be the number of yards needed to gain on the next play to get back to their original position.Thus, the number of yards needed to gain on the next play to get back to their original position is 4.
5.) We have been given that on Monday morning the temperature was 38°F, but by the afternoon the temperature had risen 22°F. We are also told that on Tuesday morning the temperature had dropped 27°F since Monday afternoon.Since the temperature rose by the Tuesday noon, so temperature by Tuesday noon will be 10 degrees greater than temperature by Tuesday morning.To find the number of degrees temperature is above or below 38°F on Tuesday at noon we will subtract 38°F from the temperature on Tuesday at noon. Since the difference between temperature is positive, therefore, the temperature on Tuesday at noon was 5 above .
Hoped this helped!
PLEASE HELP!! It is a multiple choice so only one answer!
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
What is the difference in elevation between -28 and 49
Answer:
87 units
Step-by-step explanation:
A) Chanece wants to bake
6 cakes for the school bake
sale. The recipe says each
cake needs 2/4 cup of
sugar. How much sugar
will Chanece need for
her 6 cakes?
Answer:
3 cups
Step-by-step explanation:
If you multiply 2/4 x the 6 cakes he has to make you get a total of 3. He will need 3 cups of sugar for ALL 6 cakes.
Hope this helps☺️
the relationship between NP and PQ if point P is midpoint of NQ
Answer:
NP=PQ
Step-by-step explanation:
p is MIDpoint of NQ so basically distance of N to P is equal to distance of P to Q
The relationship between NP and PQ if point P is the midpoint of NQ is:
- NP + PQ = NQ
- 1/2 x NQ = NP = PQ
Given,
P is the midpoint of NQ.
We need to find the relationship between NP and PQ if point P is the midpoint of NQ
What does it mean to have a midpoint?The midpoint between two points in a line always divides the line into two equal parts.
The sum of the divided parts is always equal to the original line.
Half of the original line is equal to each part.
Example:
A_____B_____C
B is the midpoint.
We have,
AC = AB + BC
1/2 x AC = AB = BC
We have,
P is the midpoint of NQ
Now,
N______P______Q
Since P is the midpoint we can say that,
NP + PQ = NQ
And,
1/2 x NQ = NP = PQ
Thus the relationship between NP and PQ if point P is the midpoint of NQ is:
- NP + PQ = NQ
- 1/2 x NQ = NP = PQ
Learn more about the midpoint of a line here:
https://brainly.com/question/28224145
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15
A recent college grad accepts a job at Google Inc. The job has a salary of $50,000 and is guaranteed an annual
pay increase of 3%. What will their salary be after 7 years?
Show Your Work
Answer
$60500
Step-by-step explanation:
$50,000÷100=500 1%=500
500x21(3%x7)=10500
$50,000+$10500=$60500
PLEASE HELP I CANT FIGURE THIS OUT!!
Answer:
C
Step-by-step explanation:
I worked it out and it's right. plz give me brainliest owo
Answer:
C) 6^6
Step-by-step explanation:
When we divide same base numbers with different exponents, the answer will be the base raised to the power of the difference of those exponents:
The rule is: x^a/x^b=x^(a-b)
In this case: 6^9/6^3=6^(9-3)=6^6=46656
Therefore, C is the correct answer
x²=169 extracting square root
Answer:
x = ± 13
Step-by-step explanation:
Given
x² = 169 ( take the square root of both sides )
x = ± [tex]\sqrt{169}[/tex] = ± 13
Since 13 × 13 = 169 and - 13× - 13 = 169
Write an equation for a line that is parallel to y = -4x + 2 and passes through the point (-2, 5).
Answer:
y = -4x - 3
Step-by-step explanation:
y = -4x + 2
Substitue Y and X and turn 2 into b(or y intercept)
5 = -4(-2) + b
Solve for b
5 = 8 + b: subtract 8 from both sides
-3 = b
substitute for 2 with same slope(to keep parrallel)
y = -4x - 3
Please help me n with this question
Answer:
yes
Step-by-step explanation:
What is the value of x in the equation x+12 over 4 =6
Answer:
x=12
Step-by-step explanation:
first remove the four by multiplying it and then cancel out the 12 as well to get 12 as an answer. double check by replacing x with 12 and see if it equals 6.