Answer:
Step-by-step explanation:
The standard acceleration due to gravity (or standard acceleration of free fall), sometimes abbreviated as standard gravity, usually denoted by ɡ0 or ɡn, is the nominal gravitational acceleration of an object in a vacuum near the surface of the Earth. It is defined by standard as 9.80665 m/s2 (about 32.17405 ft/s2).
Which best describes the clusters in the data set?
Number of Ripe Tomatoes on Each Plant in the Nursery
A dot plot going from 10 to 15. 10 has 1 dot, 11 has 1 dot, 12 has 4 dots, 13 has 5 dots, 14 has 4 dots, 15 has 6 dots.
There is no cluster in the data set.
There is one cluster at 13, 14, and 15.
There is one cluster at 12, 13, 14, and 15.
There are two clusters at 13 and at 15.
Answer:
its c
Step-by-step explanation:
i promise you
Answer:
Its c
Step-by-step explanation:
During baseball practice, Carl hit a ball into outfield. The equation 16 64 4 can be used to model the path of the ball once Carl hit it. For which interval of time, in seconds, is the height of the ball greater than or equal to 52 feet?
The interval of time for which the height of the ball greater than or equal to 52 feet is [1 , 3] .
In the question ,
it is given that ,
The equation that model the path of ball after Carl hit it is -16t² + 64t + 4 .
we have to find the interval of time ,
where the height of the ball is greater than or equal to 52 feet,
that is represented as
-16t² + 64t + 4 ≥ 52
-16t² + 64t + 4 - 52 ≥ 0
-16t² + 64t - 48 ≥ 0
multiplying both sides of the inequality by 9-1) , we get
16t² - 64t + 48 ≤ 0
Dividing both sides of the inequality by 16 , we get
t² - 4t + 3 ≤ 0
t² - 3t - t + 3 ≤ 0
t(t - 3) -1(t - 3) ≤ 0
(t - 1)(t - 3) ≤ 0
which means
1 ≤ t ≤ 3 , and is represented as [1 , 3] .
Therefore , The interval of time for which the height of the ball greater than or equal to 52 feet is [1 , 3] .
The given question is incomplete , the complete question is
During baseball practice, Carl hit a ball into outfield. The equation -16t² + 64t + 4 , can be used to model the path of the ball once Carl hit it. For which interval of time, in seconds, is the height of the ball greater than or equal to 52 feet ?
Learn more about Equation here
https://brainly.com/question/10565487
#SPJ1
7.
Find the value of xy; when x = 5 and y = 3
I
8.
Find the value of a + b; when a = 4 and b = -14
9.
Find the value of 6x + y; when x = 2 and y = 10
Answer:
7. 15
8. -10
9. 22
Step-by-step explanation:
7. mulitply 5 and 3
8. add 4 and -14
9. 6(2) +10 = 12+10
Can someone please help me
p.s. round to the nearest tenths
Answer:
Apothem:
radius is the same length as the base/length of each side of the hexagon.
r = 8
use pythagorean theorem to calculate the apothem
\(4^2+a^2=8^2\\\\16+a^2=64\\\\a^2=48\\\\a= 6.928\)
≈ 6.9
Area
\(A = \frac{3\sqrt{3} }{2} *a^2\\\\=\frac{3\sqrt{3} }{2}(6.928)^2\\\\=124.7\)
Which of the following shows the correct first step to solve x^2-18x=-45
A x^2 - 18x + 18= -45 + 18
B. x^2 - 18x + 9 = -45 + 18
C. x^2 -18x + 81 = -45
D. X^2 -18 + 81 = -45 + 81
Answer:
D, X^2 -18 + 81 = -45 + 81
Step-by-step explanation:
it is complating squer method that used for solving x in a quadratic equetion . in this step you will add
(y/2)^2 if y is the cofitient of x .
Which table represents a proportional relationship between x and y.
x: 0,1,2,3
y:0,3,6,9
x:0,2,3,4
y:0,4,8,12
x:0,1,2,3
y:0,2,6,12
A proportional relationship between two variables means that they are related by a constant ratio.
To determine which table represents a proportional relationship between x and y, we need to check if the ratio between y and x remains constant throughout the table. Let's examine the tables: Table 1:
x: 0, 1, 2, 3
y: 0, 3, 6, 9
The ratio between y and x is:
0/0 = undefined
3/1 = 3
6/2 = 3
9/3 = 3
Table 2:
x: 0, 2, 3, 4
y: 0, 4, 8, 12
The ratio between y and x is:
0/0 = undefined
4/2 = 2
8/3 ≈ 2.67
12/4 = 3
Table 3:
x: 0, 1, 2, 3
y: 0, 2, 6, 12
The ratio between y and x is:
0/0 = undefined
2/1 = 2
6/2 = 3
12/3 = 4
Based on the ratios calculated, we can see that Table 1 has a constant ratio of 3 between y and x. Therefore, Table 1 represents a proportional relationship between x and y.
So, the correct table that represents a proportional relationship is:
x: 0, 1, 2, 3
y: 0, 3, 6, 9
Learn more about variables here: brainly.com/question/32438480
#SPJ11
the smith family consists of a mother, father, and some children. the average age of the family is 20 yrs. old. the father is 48 yrs. old, and the average age of the mother and children is 16. how many children are in the smith family?
This is a contradiction, which means that our initial assumption that there are n children is incorrect. Therefore, there is no solution to this problem that satisfies the given conditions.
Let's assume that there are n children in the Smith family.
We know that the father is 48 years old, so the sum of the ages of the mother and children is:
Total age = (n + 1) * 20 (as there are n children and 1 father)
And we also know that the average age of the mother and children is 16, so we can write:
Total age / (n + 1) = 16
Combining these two equations, we get:
(n + 1) * 20 / (n + 1) = 16
Simplifying, we get:
20 = 16
To know more about solution,
https://brainly.com/question/28108296
#SPJ11
Janet correctly answers 50 questions on her science test. There are 80
questions on the test. Enter the percent of the questions Janet did NOT
answer correctly
Answer:
30/80
3/8x100
37.5
Step-by-step explanation:
find the zero of the polynomial and verify its relationship between zeros and coefficients
\(2x {}^{2} - 3 \sqrt{3x} - 15\)
Step-by-step explanation:
so, we have
2x² - 3×sqrt(3x) - 15 = 0
2x² - 15 = 3×sqrt(3x)
now, let's square both sides
(2x² - 15)² = 9×3x = 27x
4x⁴ - 60x² + 225 = 27x
4x⁴ - 60x² - 27x + 225 = 0
that leads to enormous terms and expressions.
now, could it be that the actual problem is
2x² - 3×sqrt(3)×x - 15
hmmm ?
to be considered : with the square root of the variable in the expression this is officially not a polygon ...
because then we could solve for a quadratic equation.
a quadratic equation
ax²c+ bx + c = 0
has the general solutions
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 2
b = -3×sqrt(3)
c = -15
x = (3×sqrt(3) ± sqrt(9×3 - 4×2×-15))/(2×2) =
= (3×sqrt(3) ± sqrt(27 + 120))/4 =
= (3×sqrt(3) ± sqrt(147))/4 =
= (3×sqrt(3) ± sqrt(49×3))/4 =
= (3×sqrt(3) ± 7×sqrt(3))/4
x1 = (3×sqrt(3) + 7×sqrt(3))/4 = 10×sqrt(3)/4 =
= 5/2 × sqrt(3)
x2 = (3×sqrt(3) - 7×sqrt(3))/4 = -4×sqrt(3)/4 =
= - sqrt(3)
about the relationship between zeros and coefficients of the polynomial :
the sum of both zeros = -b/a = 3×sqrt(3)/2
5/2 × sqrt(3) + - sqrt(3) = 5/2 × sqrt(3) - sqrt(3) =
= 3/2 × sqrt(3)
correct.
the product of both zeros = c/a = -15/2
5/2 × sqrt(3) × - sqrt(3) = 5/2 × -3 = -15/2
correct.
i need help. to find the answer
Choose the kind(s) of symmetry: point, line, plane, or none. (C)
========================================================
Explanation:
Plane symmetry only applies to objects in 3D space. So choice A won't apply.
Point symmetry is where we can rotate the object some number of degrees (between 0 and 360 excluding the endpoints) and have it line up with itself. We can't do such a rotation, so this figure has no point symmetry. We rule out choice B.
Choice C works since we can reflect the upper half of the letter over the horizontal midline to have its reflection line up with the lower half, and vice versa. There is only one line of symmetry here.
Choice D is not true since choice C was shown to be true.
Answer: Is c-line
Step-by-step explanation:
The guy above me got it right I just did the quiz
Please find the limit. Show work and explain in detail. Thank you!
sin e 37. Lim 0-0 sin 20
The expression sin(e^37) does not have a well-defined limit as x approaches 0 from the left side since the argument e^37 is not an angle and is a constant.
To find the limit of the function sin(e^37) as x approaches 0 from the left side, we need to evaluate the limit and analyze the behavior of the function near 0.
The expression sin(e^37) represents the sine of a very large number, approximately equal to 5.32048241 × 10^16. The sine function oscillates between -1 and 1 as the input increases, but it does so in a periodic manner.
As x approaches 0 from the left side (x < 0), the function sin(e^37x) will oscillate rapidly between -1 and 1. However, since the argument of the sine function (e^37) is an extremely large constant, the oscillations will occur at a much higher frequency.
To calculate the limit, we can directly evaluate the function at x = 0 from the left side.
sin(e^37 * 0) = sin(0) = 0.
Therefore, the limit of sin(e^37) as x approaches 0 from the left side is equal to 0.
Learn more about limit here:-
https://brainly.com/question/29795597
#SPJ11
Factorise the equation
9x*2- 64
Answer:
2(9x-32)
Step-by-step explanation:
9x(2)-64
18x-64
=2(9x-32)
\( {9x}^{2} - 64\)
We have to factorise it using the identity: x² - y² = (x - y)(x + y)We know 3² = 9 and 8² = 64.\( {(3x)}^{2} - (8)^{2} \\ \)
Now, use the identity I have mentioned.\((3x - 8)(3x + 8)\)
Answer:
(3x - 8)(3x + 8)
Hope you could understand.
If you have any query, feel free to ask.
Fill in the blank so that the line r(t)=<3,2,-1>+t<2,1,4> will be perpendicular to the plane -4x+ _______ y-8z=16
Given line is, r(t)=<3,2,-1>+t<2,1,4>Let's find the direction vector of the line r(t).
r(t)=<3,2,-1>+t<2,1,4>=> r(t) = <3+2t, 2+t, -1+4t>
Therefore, direction vector of the line r(t) is <2, 1, 4>For two lines to be perpendicular to each other, their direction vectors are to be orthogonal to each other.
For a plane, the normal vector is orthogonal to every vector lying on the plane.
Now, let the normal vector of the plane be.
The given plane is -4x+ _______ y-8z=16
Let the missing term be "d".
Then, the normal vector of the plane is < -4, d, -8 >
The direction vector of the line r(t) is <2, 1, 4>.
For r(t) to be perpendicular to the plane, the direction vector of r(t) should be orthogonal to the normal vector of the plane.
<2, 1, 4>.< -4, d, -8 > = 0
=> 2*-4 + 1*d + 4*-8 = 0
=> -8 + d - 32 = 0
=> d = 40
So, the given plane is -4x+ 40y -8z = 16.
Hence, the missing term in the given plane is 40.
To know more about vector visit:
https://brainly.com/question/24256726
#SPJ11
What is the highest number of degrees (as a whole number) an image can rotate without returning to it's exact original position?
please answer in __°!
Answer:
359°
Step-by-step explanation:
When an image is rotated by a multiple of 360 degrees, it returns to its original position because it has completed one full revolution. However, if the image is rotated by any angle less than 360 degrees, it will not return to its exact original position.
For example, if an image is rotated by 45 degrees, it will not return to its exact original position, but will instead be in a new and unique position. If the image is then rotated by another 45 degrees, it will again be in a new and unique position, and so on.
Therefore, the highest number of degrees an image can rotate without returning to its exact original position is 359 degrees.
Answer: 359 degrees
Step-by-step explanation:
If you rotate any object exactly 360 degrees, it returns to it's original position. Remember that phrase "360 no-scope?" It involves spinning until you're back where you started; try doing it right now. You'll be back where you were. But this question wants to know how far you can rotate an object without it being back where it was. I would usually say 359.999999999, but it's a whole number answer, so we'll stick with 359. Hope this helps!
To the nearest tenth, what is f′(a) if f(x)=0.8exarctan(x) and a=5 ? Provide your answer below: Question If f(x)=0.09exx and k=7, determine f′(k). Evaluate f′(k) and round to the nearest tenth. Provide your answer below:
1. f'(a) is approximately 118.7 when a = 5.
2. f'(k) is approximately 98.7 when k = 7.
To find the derivative of a function at a specific point, we can use the rules of differentiation.
For f(x) = 0.8e^(x)arctan(x), we can find f'(a) by taking the derivative of the function and then evaluating it at x = a.
f'(x) = 0.8(e^x * arctan(x))'
= 0.8(e^x * (1/(1+x^2)) + e^x * arctan(x)')
= 0.8(e^x/(1+x^2) + e^x * (1/(1+x^2)) + e^x * 1)
= 0.8(e^x/(1+x^2) + e^x/(1+x^2) + e^x)
Now, substitute x = a = 5:
f'(5) = 0.8(e^5/(1+5^2) + e^5/(1+5^2) + e^5)
≈ 0.8(0.0081 + 0.0081 + 148.4132)
≈ 0.8(148.4294)
≈ 118.7435
Therefore, f'(a) is approximately 118.7 when a = 5.
For f(x) = 0.09exx, we need to find f'(k) when k = 7.
f'(x) = 0.09(e^x * x + e^x * 1)
= 0.09(e^x(x+1))
Now, substitute x = k = 7:
f'(7) = 0.09(e^7(7+1))
≈ 0.09(1096.6332)
≈ 98.6969
Therefore, f'(k) is approximately 98.7 when k = 7.
for such more question on derivative
https://brainly.com/question/25324584
#SPJ8
Angle JKL and angle MKQ are complementary angles. The measures of angle JKL is twice the measure of angle MKQ.• Write one equation to find x, the measure of angle MKQ• Solve for X
Answer : x = 30 degrees
< JKL and < MKQ are complementary
Let < MKQ = x
Angle JKL is twice the measure of angle MKQ
JKL = 2 x MKQ
Sum of a complementary angles = 90 degrees
< JKL + < MKQ = 90
< JKL = 2MKQ
Substitute the value of < jkl
2(<2MKQ + Since, Therefore,
2x + x = 90
3x = 90
Divide both sides by 3
3x / 3 = 90/3
x = 30 degrees
Drag each expression to show whether it is equivalent to (5·9)+(5·1), 45+15, or 15(3−1).
need help with 3 and 4
what is the measure of HKI
need help asap pls will give a lot of points n brainliest!!!
Answer:
105 degrees
Step-by-step explanation:
Hope this helps!
use the drag tool to move the point along the curve to illustrate a price change from $6 to $2.To refer to the graphing tutorial for this question type, please click here.
According to the information, the price change of $ 6 to $ 2 would generate an elasticity in the demand of 0.33
What is the elasticity of demand?The price elasticity of demand is an economic term that refers to the measure used to show the amount demanded of a good or service to changes in the price of said good or service.
How to find the elasticity of demand?To find the demand elasticity we must perform the following mathematical procedure:
Price elasticity = (P1 + P2)/(Q1 + Q2) x (Q2 - Q1)/(P2 - P1)
Q1 = 5, p1 = 6
Q2 = 7, p2 = 2
PE = 8/12 x 2/-4 = - 0.33
According to the above, we can establish that the elasticity in demand with a price change of $ 6 to $ 2 would be 0.33.
Note: This Question is incomplete. Here is the complete information:
Attached Image
Learn more about elastisity in: https://brainly.com/question/30890831
#SPJ1
In the equation Y=13X+38 where Y is a function of X a) Y is a constant. b) 38 is a variable. c) the slope of the line is 13. d) None of these. 13) If Kolin catches 25 fish and gathers 70 fruits it would be co a) an efficient combination b) an unattainable combination c) an inefficient combination d) the most efficient combination Use the figure on the left to answer qucstions 14. 14. What is the equilibrium price and quantify? a. $35 and 6 dozens of roses per day b. $10 and 2 dozens of roses per day? c. Sis and 14 dozens of roses per day d. $25 and 10 dozens of roses per day
1)The slope of the line is C) 13. 2)It would be inefficient since it is not the most optimal use of resources.the correct option is C. 3)The equilibrium price and quantity are D) $25 and 10 dozens of roses per day, respectively.
1) Y = 13X + 38, where Y is a function of X.
The slope of the line is 13.
Therefore, the correct option is C.
2) Kolin catches 25 fish and gathers 70 fruits. If we consider the combination, then it would be inefficient since it is not the most optimal use of resources.
Therefore, the correct option is C.
3) Using the given figure, we can see that the point where the demand and supply curves intersect is the equilibrium point. At this point, the equilibrium price is $25 and the equilibrium quantity is 10 dozens of roses per day.
Therefore, the correct option is D. The equilibrium price and quantity are $25 and 10 dozens of roses per day, respectively.
Note that this is the point of intersection between the demand and supply curves, which represents the market equilibrium.
Know more about equilibrium price here,
https://brainly.com/question/29099220
#SPJ11
Darcy and Harper work for different catering companies. Darcy earns a weekly salary of $982 and an 18% commission on her food
sales. Harper earns a weekly salary of $807 and a 25% commission: What amount of food sales will result in Darcy and Harper
earning the same amount for the week?
Answer:
$2500
Step-by-step explanation:
Given that:
Darcy's weekly earning = $982 plus 18% commission on food sales
Harper's weekly earning = $807 plus 25% commision
amount of food sales will result in Darcy and Harper earning the same amount for the week
Let amount of food sales = f
Darcy's earning = Harper's earning
(982 + 18%*f) = (807 + 25% * f)
(982 + 0.18f) = (807 + 0.25f)
982 + 0.18f = 807 + 0.25f
982 - 807 = 0.25f - 0.18f
175 = 0.07f
f = 175 / 0.07
f = 2500
Hence amount of food sales that will result in both Darcy and Harper earning the same amount = $2500
What is the slope-intercept form of the equation 4x + 2y =6?
Oy=2x+3
Oy=2x-3
Oy=-2x-3
Oy=-2x+3
Step-by-step explanation:
4x + 2y = 6 'Solve for y ' will be slope-intercept from
2y = -4x + 6
y = -2 x + 3 Done.
Answer: Your answer is D y = -2x+3
Hope it helped :D
Please mark me brainliest
Can someone help me with this problem please!
Answer:
can you send in a better photo i cannot see it clearly
Step-by-step explanation:
it takes 222 wooden sticks and 1.51.51, point, 5 square feet of paper to make a kite, and it takes 121212 wooden sticks and 888 square feet of paper to make a lamp.
To make a kite, you need 222 wooden sticks and 1.5 square feet of paper. For a lamp, you need 12 wooden sticks and 88 square feet of paper.
Now, let's calculate the number of wooden sticks and square feet of paper needed for the kite and the lamp separately.
For the kite:
- Number of wooden sticks: 222
- Square feet of paper: 1.5
For the lamp:
- Number of wooden sticks: 12
- Square feet of paper: 88
it takes 222 wooden sticks and 1.5 square feet of paper to make a kite, while it takes 12 wooden sticks and 88 square feet of paper to make a lamp.
To know more about square feet visit:
https://brainly.com/question/30678567
#SPJ11
How do you find these
What is the measure of segment DC?
What is the measure of segment C'B'?
What is the measure of segment AD?
What is the measure of segment A'B'?
What is the measure of angle C?
What is the measure of angle A'?
What is the measure of angle D'?
What is the measure of angle B'?
What is the measure of angle A?
Measure of segment DC is 24
Measure of segment C'B' is 16
Measure of segment AD is 10
Measure of segment A'B' is 7
Measure of angle C is 49 degrees
Measure of angle A' is 111 degrees
Measure of angle D' is 65 degrees
Measure of angle B' is 135 degrees
Measure of angle A is 111 degrees
How to determine the measuresTo determine the measures, we need to know the properties of parallelograms, we have;
Opposite angles are equal.Opposite sides are equal and parallel.Diagonals bisect each other.Sum of any two adjacent angles is 180°We have that the two parallelograms are equal
Now, trace the angles from one to other
Angle A = 360 - (49 + 135 + 65)
add the values, we have;
Angle A = 360 -249
Angle A =111 degrees
Learn more about parallelograms at: https://brainly.com/question/10744696
#SPJ1
the margin of error of a confidence interval is the error from biased sampling methods. True or False
Which of the equations is NOT equivalent to 6x = 20? Select all that apply. 6x ÷ 6 = 20 ÷ 6 6x ÷ 6 = 20 ÷ 20 6x + 5 = 20 + 5 6x − 1 = 20 − 1 6x × 6 = 20 × 20
These three expressions
6x ÷ 6 = 20 ÷ 6
6x + 5 = 20 + 5
6x − 1 = 20 − 1
will be equal to the given expression.
What is Expression ?Operators, constants, and variables all come together to form an expression. A value can be produced by an expression using one or more operands and zero or more operators.
We have to check which equation will be equal to 6x = 20
6x ÷ 6 = 20 ÷ 6
After Multiplying both sides by 6.
We get, 6x = 20
6x ÷ 6 = 20 ÷ 20
After simplifying we get,
x = 1
Multiplying both sides by 6
6x = 6, Hence it doesn't satisfy.
6x + 5 = 20 + 5
Subtract 5 both sides of the equation
We get, 6x = 20
6x − 1 = 20 − 1
Adding 1 both sides of the equation,
We get, 6x = 20
6x × 6 = 20 × 20
After simplifying, we get
36x = 400
Hence, only
6x ÷ 6 = 20 ÷ 6
6x + 5 = 20 + 5
6x − 1 = 20 − 1
will be equal to the given expression.
To learn more about Expression, visit:
https://brainly.com/question/14083225
#SPJ1
A?
B?
C?
D?
Number 10 on conexus <3
If correct I’ll give brainlest