Answer:
h = 9.99in
Step-by-step explanation:
...
4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= -16? + 1500 gives the jumper's height hin feet during the free fall att seconds
a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h? no
Answer:
Step-by-step explanation:
Given function is h(t) = -16t² + 1500
a). For h(t) = 1000 feet,
1000 = -16t² + 1500
1000 - 1500 = -16t² + 1500 - 1500
-500 = -16t²
t² = [tex]\frac{500}{16}[/tex]
t = [tex]\sqrt{31.25}[/tex]
t = 5.59 sec
b). For h(t) = 940 feet,
940 = -16t² + 1500
940 - 1500 = -16t² + 1500 - 1500
-16t² = -560
t² = [tex]\frac{-560}{-16}[/tex]
t = [tex]\sqrt{35}[/tex]
t = 5.92 sec
c). For domain and range of the function,
When the jumper comes down to the ground,
h = 0
0 =-16t² + 1500
t² = [tex]\frac{1500}{16}[/tex]
t = [tex]\sqrt{93.75}[/tex]
t = 9.68 sec
Since, x-values on the graph vary from x = 0 to x = 9.68,
Domain : [0, 9.68]
Vertex of the quadratic function: (0, 1500)
Since, coefficient of the highest degree term is negative, parabola will open downwards.
Therefore, y-values of the function will vary in the interval y = 0 to y = 1500
Range: [0, 1500]
What is the first step equation=6x – 4x + 3 = 15
A.
Add 4x to both sides of the equation.
B.
Subtract 4x to both sides of the equation.
C.
Combined the variable terms on the left side of the equation.
D.
Combine the constant terms on the right side of the equation.
Which is a valid proportion?
Answer:
A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.
What is an equation of the line that passes through the points (0, -2) and (-5, 4)?
Put your answer in fully reduced form.
Answer:
I have no idea
Step-by-step explanation:
Answer: y= -6/5x-2
Step-by-step explanation:
That’s wut it said
An item that originally cost $12 is discounted 30%. What is the price of the item after the discount? Please give explanation or show work
Thank you
Please try to answer quickly thanks!
Reward is 16 Brainly points ;)
Answer: $8.4
Step-by-step explanation:
To find 30% of 12 first, we move the decimal point to the left two times. Now we have .3 next multiply it by twelve. (3.6) This number is 30% of 12. Lastly, subtract 3.6 from 12 to get your answer.
10 workers produce 30 complex elements in 10 days. In how many days would 5
workers produce 24 elements?
Given:
10 workers produce 30 complex elements in 10 days.
To find:
The number of days, in which 5 workers produce 24 elements.
Solution:
According to the question, let as assume
[tex]n_1=10[/tex]
[tex]w_1=30[/tex]
[tex]d_1=10[/tex]
[tex]n_2=x[/tex]
[tex]w_2=24[/tex]
[tex]d_2=5[/tex]
where, n is number of workers, w is work done, and d is number of days.
We have, a formula,
[tex]\dfrac{n_1\times d_1}{w_1}=\dfrac{n_2\times d_2}{w_1}[/tex]
Substituting the values in the above formula, we get
[tex]\dfrac{10\times 10}{30}=\dfrac{x\times 5}{24}[/tex]
[tex]\dfrac{10}{3}=\dfrac{5x}{24}[/tex]
Isolate variable x.
[tex]\dfrac{10}{3}\times \dfrac{24}{5}=\dfrac{5x}{24}\times \dfrac{24}{5}[/tex]
[tex]\dfrac{240}{15}=x[/tex]
[tex]16=x[/tex]
Therefore, the required number of days is 16.
Quinzels earn 1254 each month his total deductions is 20%
Answer:
I believe its $250.80
Step-by-step explanation:
Because 20% of 1254 is 250.8
PLS HELP ME FAST WILL GIVE POINTS
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(9, 0), Q(6, 3), and R(−3, −6). Triangle P′Q′R′ has vertices P′(3, 0), Q′(2, 1), and R′(−1, −2). Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer:
The scale factor of the dilation that transforms the triangle is 1/3
Step-by-step explanation:
9x1/3 is 3. 6x1/3 is 2, etc.
When rounded to the nearest thousands an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh? I need step by step instructions please.
Answer:
Step-by-step explanation:
It depends on what you have been told about rounding when a 5 is involved.
If you can round if the answer is 4500, then that would be your answer. If you have some complicated method of dealing with the 5 (involving odd or even numbers) the elephant's minimum weight will be different.
I would go with 4500.
Write an equation in slope intercept form and in standard form for the line passing through (4,9) and perpendicular to x=-6
Answer:
Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020 hwgsvsd d jxvsd
dvsud sgsgs hsysvdudbd dvyd dhsgtsjd vsytwgsud gsyfwuyebdbhys. dusgcejd b
Simplify each term. please help!! 30 points + brainliest :)
1. -(-3y)³
2. (2c)⁵
3. (-2m)⁴
4. (4g)³
5. (7j)²
6. (-5z)⁵
Answer:
1. 27y^3
2. 32c^5
3. 16m^4
4. 64g^3
5. 49j^2
6. -3125z^5
Step-by-step explanation:
Can you help answer my question too, please?
A data set is Normally distributed with a mean of 750 and a standard deviation of 55. What is the value of a data element that has a z-value of 0.05? Give your answer to two decimal places.
752.75 IS THE CORRECT ANSWER
Answer:
752.75 is correct
ED2021
help please!!!!! (QUESTION #3)!!!!!!!
F(x)=3x+10
g(x)= x-2
Find g(f(-10))
Solve please
Answer: -22
Step-by-step explanation:
first let's plug in -10 to the f(x) function.
F(-10) = 3(-10) + 10 = -30 +10 = -20
Now we plug in -20 into the g(x) function
g(-20) = -20 -2 = -22
Answer:
If g(x) = x - 2, then g(f(x)) = f(x) - 2. So the whole equation would be: 3x + 10 × x - 2. Simplified: g(f(x)) = 13x - 2
UwU
A 3 m - 3 B 3 m + -5 C m + 1 D 3 m + 13
Answer:
It's A
Step-by-step explanation:
I NEED HELP! Please.
Answer:
z = 12
Step-by-step explanation:
Answer:
Step-by-step explanation:
4z - 4 = 3z + 8
z = 12
What are the different ways to write multiplication?
Answer:
Distribution, equal groups, skip counting, repeated addition, and array.
Step-by-step explanation:
sec²A-cosec²A=(tanA+cotA)(tanA-cotA)
Answer:
Step-by-step explanation:
Sec²A-cosec²A=(tanA+cotA)(tanA-cotA)
Tan^2A+1-cot^2A-1=(tan^2A-cot^2A)
tan^2A-cot^2A=tan^2A-cot^2A
L.H.S=R.H.S
Hence proved.
Which of the restricted domains will produce an inverse function for tangent ?
X=-pi, x= pi
X=-pi/2, x=pi/2
X=0, x=pi/2
X=0, x=2pi
Answer: B) x=-pi/2 , x=pi/2
Step-by-step explanation:
Just did it!
Answer:
B
Step-by-step explanation:
Edge 2020
What is an equation of the line that passes through the points (4,1) and (8,-3)?
PLZZ HELPP MEE!!
Answer:
y=-x+5
Step-by-step explanation:
(4,1)
(8,-3)
1)a slope of a line is (y2-y1)/(x2-x1)
so (-3-1)/(8-4)
-4/4=>m=-1
2)to find y-int replace any points in the equation by x and y
so 1=-1(4)+b
1=-4+b
1+4=b
so b= 5
therefore the equation is y=-x+5 so d
The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7), what are the
coordinates of B?
Answer:
(8,1)
Step-by-step explanation:
(8,1) you have to add do to the same to B
Pont B is located at coordinates at the line AB (8, 1)
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7)
From the general formula of midpoints of a line
coordinates of midpoint = ((x₂ + x₁)/2, (y₂ + y₁)/2)
where,
(x₁, y₁) are the coordinates of A
(x₂, y₂) are the coordinates of B
And in our case Coordinates of the midpoint are (6, -3)
Thus,
6 = (4 + x₂)/2
x₂ = 8
-3 = (-7 + y₂)/2
y₂ = 1
therefore, the coordinates of Pont B at line AB are (8, 1)
Learn more about coordinates here:
https://brainly.com/question/20282507
#SPJ2
Una parte de 25 000 dólares se invierte al 10% de interés, otra parte al 12 % y el resto al 16%. El ingreso anual total de las tres inversiones es de 3200 dólares. Además, el ingreso de la inversión al 16% es igual al ingreso de las otras dos inversiones combinadas. ¿Cuánto se invirtió a cada tasa de interés?
Answer:
$5000 at 10%, $10000 at 12% and 10000 at 16%Step-by-step explanation:
One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?==================
Let the parts be x, y and z
As per given we get below system of equations:
x + y + z = 250000.1x + 0.12y + 0.16z = 32000.1x + 0.2y = 0.16zSubstitute 0.1x + 0.2y in the second equation:
0.16z + 0.16z = 32000.32z = 3200z = 3200/0.32z = 10000Now we have:
x + y + 10000 = 25000 ⇒ x + y = 15000and
0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600Multiply the second equation and then subtract the first one:
10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000x + 1.2y - (x + y) = 16000 - 150000.2y = 1000y = 10000Then
x = 15000 - 10000 = 5000So the parts are:
$5000 at 10%, $10000 at 12% and 10000 at 16%I WILL GIVE BRAINLIEST
Tell whether the following equations represent a linear function.
1. 15x + 3y = 9
2. −x^2 + 9y = 21
3. 6x + 1/4y = 3
Answer:
Step-by-step explanation:
1. yes
2. no - it's a quadratic equation
3. yes
Answer:
Tell whether the following equations represent a linear function.
1. 15x + 3y = 9-- linear equation✓
2. −x^2 + 9y = 21-- quadratic equation
3. 6x + 1/4y = 3-- linear equation✓
This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? A y = 3x + 6 B y = 6x + 3 C y = 3x D y = 6x
Answer:
B. y = 6x + 3Step-by-step explanation:
Given
x = {5, 6, 7, 8, 9} andy = {33, 39, 45, 51, 57}The equation in slope- intercept form:
y = mx + bUsing two pairs of coordinates (5, 33), (6, 39), we will find the slope:
m = (39 - 33)/(6 - 5) = 6/1 = 6Using one point (5, 33) to find the y-intercept:
33 = 6*5 + b ⇒ b = 33 - 30 ⇒ b = 3The equation is:
y = 6x + 3Correct option is B
chen is baking muffins and banana bread for brunch buffet. he needs 3 1/5 cups of flour to make the muffins and 3 2/3 cups of flour to make the banana bread. which is the best estimate of the number of cups of flour needed
Answer:
I think 7 would be the estimate if im wrong this is the specific number 6 13/15
Step-by-step explanation:
Answer:
She will need aproximately 7 cups
Step-by-step explanation:
First, you add 3 1/5 and 3 2/3 which is 6.86666666667
Just round that answer up and that'll give you seven
p=3y/q solve for y make sure to add steps pls
Answer:
Solving for y gives:
[tex]y = \frac{pq}{3}[/tex]
Step-by-step explanation:
Linear equations are the equations that are degree one equations. When it is asked to solve an equation for a specific variable that means that the specified variable has to be isolated on one side of the equation i.e. in the given question solving for y means isolating y on one side of the equation.
Given equation is:
[tex]p = \frac{3y}{q}[/tex]
Multiplication property of equality(Multiplying both sides by q)
[tex]p*q = \frac{3y}{q} * q\\pq = 3y[/tex]
Division property of equality(Dividing both sides by 3)
[tex]\frac{pq}{3} = \frac{3y}{3}\\\frac{pq}{3} = y[/tex]
Hence,
Solving for y gives:
[tex]y = \frac{pq}{3}[/tex]
What is 48 square feet in square meters
Answer: 4.45935
Step-by-step explanation: 1 Square foot (sqft) is equal to 0.09290304 square meter (sqm). For example, to convert 100 square feet to square meters, multiply 100 by 0.09290304, that makes 9.290304 sqm is 100 sqft. Hope this helps.
How many pounds of grapes can I buy for $1.00?
2.09
Here you go! Hope it helps!
Pls answer professionally or with the right answer I’m beg you
Answer:
Step-by-step explanation:
Hello friend!!!
here's ur answer
1) <y = 180 - 74 = 106° ( linear pair )
<x = <y ( alternate angles )
therefore, <x = <y = 106°
2) <x = 68° ( corresponding angles )
<y = 180 - 68 = 112° ( linear pair )
<z = 112° ( vertically opposite angles )
Hope this helps
plz mark as brainliest!!!!!
(3x−2.4)/0.02 = (8−x)/0.1 Please Help
Answer
x = 5/4
Step-by-step explanation: