Answer:
Step-by-step explanation:
The height h (in feet) of an object dropped from a window after x seconds can be modeled by h(x)=−16x2+64 . The object is dropped a second time so that it hits the ground 1.5 seconds sooner. Write a function g that models the path of the object the second time it is dropped.
Answer:
g(x) = - 16x² + 4
Step-by-step explanation:
Given the model:
First drop:
h(x) = - 16x² + 64
Second drop hits the ground 1.5 seconds sooner
Function g(x) to model the second drop:
-16t² + V0t + h0
h(x) = - 16x² + 64
0 = - 16x² + 64
16x² = 64
x² = 64/16
x = 2
1.5 seconds sooner :
X = 2 - 1. 5
x = 0.5
0 = - 16(0.5)² + 0 + h0
0 = - 4 + h0
h0 = 4
Hence,
g(x) = - 16x² + 4
In a class of 28 students, 15 earned an A on the final exam, 10 earned an A for the entire course, and 7 earned an A for both final exam and the entire course. What is the probability that a randomly selected student in this class did not earn an A on the final exam and did not earn an A for the entire course?
Using it's concept, it is found that there is a 0.3482 = 34.82% probability that a randomly selected student in this class did not earn an A on the final exam and did not earn an A for the entire course.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that 13 out of 28 students did not earn an A on the final course, and 21 out of 28 students did not earn an A for the entire course, hence:
[tex]p = \frac{13}{28} \times \frac{21}{28} = 0.3482[/tex]
0.3482 = 34.82% probability that a randomly selected student in this class did not earn an A on the final exam and did not earn an A for the entire course.
More can be learned about probabilities at https://brainly.com/question/14398287
For each expression, select all equivalent expressions from the list.
Answer:
(a) 7x +6x, (d) 13x(b) 3 +27y, (c) 3·1 +3·9yStep-by-step explanation:
You want to identify the expressions equivalent to 11x -4x +6x and 3(1 +9y).
SimplifyWe can identify the equivalent expressions by putting them all in their simplest form. This means using the distributive property to eliminate parentheses, and combining like terms.
(a) 11x -4x +6xThe simplified version of the given expression is ...
(11 -4 +6)x = 13x
The other expressions simplify to ...
7x +6x = (7+6)x = 13x . . . equivalent
7x -6x = (7 -6)x = 1x = x . . . not equivalent
13 +x (already simplest) . . . not equivalent
13x (already simplest) . . . equivalent
(b) 3(1 +9y)
The simplified form of the given expression is ...
3·1 +3·9y = 3 + 27y
The other expressions simplify to ...
3 +1·3 +9y = 6 +9y . . . not equivalent
3 +27y . . . equivalent
3·1 +3·9y = 3 + 27y . . . equivalent
3 +9y (already simplest) . . . not equivalent
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Can someone help with this question please
Answer:
[x - 5]² + [y + 7]² = 6²
Step-by-step explanation:
It should be noted:
Equation of circle: (x - h)² + (y - k)² = r²"h" represents the x coordinate of the center point, "k" represents the y coordinate of the center point, and "r" represents the radius of the circle.
⇒ h = 5; k = -7; r = 6When the values are substituted:
[x - 5]² + [y - (-7)]² = 6²
⇒ [x - 5]² + [y + 7]² = 6² = 36
NEED HELP, WOULD REALLY APPRECIATE IT, Thanks!
Which would most likely be graphed using a continuous graph? Check all that apply.
1-total cost, c, of buying b cans of beans
2-total cost, c, of buying g pounds of broccoli
3-speed of a car, s, as it accelerates over time, t
4-number of stamps, s, needed to mail p postcards
5-total distance, d, that has been driven over time, t
6-decrease in outside temperature, F, one evening over time, t
Answer:
3, 4, and 5, i think
Step-by-step explanation:
because its continious and the other ones arent
Answer:
2,3,5, and 6
Step-by-step explanation:
please help with this im really confused and please explain abit with words. please and thanks!
Step-by-step explanation:
just add all the given angles and equate it with 540° and then find x
x/2 + x/2 + x - 25 + 100 + x - 15 = 540°
3x + 60 = 540°
3x = 540 - 60
x = 480/3
x = 160°
on checking, the given shape values of x-25 and x - 15 are both still obtuse angles thus the answer is correct.
Miranda wants to give her 14-year-old daughter $20,000 when she turns 18. How much does she need to put in the bank now if the interest rate is 10 percent per year? A. $12,418. 43 B. $13,660. 27 C. $15,026. 30.
Answer:
B $13,660.27
Step-by-step explanation:
Mrs. Harper asked the class to find the area of an isosceles trapezoid.
Suzy decomposed the trapezoid and rearranged the parts to form
a rectangle of equal area as shown.
Which pair of expressions represents the area
of the trapezoid and rectangle?
12(5 X 4) and (8 – 3)(4)
12(2 + 8)(4) and (2 + 3)(4)
8 X 5 and 2(5)(4)
2(8 + 4) and (8 – 2)(4)
1/2(2 + 8)(4) and (2 + 3)(4)
area of trapezoid:
[tex]\sf \dfrac{1}{2} (a + b) *h[/tex]
Here:
height: 4 unita, side 1: 2 unitb, side: 8 unitslant height: 5 unitSo area of this trapezium:
[tex]\sf \dfrac{1}{2} (2 + 8) *4[/tex]
[tex]\sf 20 \ units[/tex]
area of rectangle:
length * width
5 * 4
20 units²
Area of trapezoid:-
1/2(Sum of parallel sides)(Height)Put the values
1/2(2+8)(4)2(10)20units²Are the following fractions
equivalent? Explain what
strategy you used to find
your answer 4/9 and 8/18
Answer:
they are
Step-by-step explanation:
the simplest form 8/18 is 4/9
How to add 6% tax to 30.75
Answer:
First multiply 30.75 by 0.06 to get a total of about 1.85 . Then and 1.85 to 30.75 to get 32.60.
Step-by-step explanation:
Hope that helps!
(-4)^1 standard form
Answer:
4x8x4x1x67 it's that cuz I learned
PLEASE HELP OVERDUE ASSIGNMENT WORTH 24 POINTS!!
The pizzeria sold 85 pizzas yesterday. Suppose the number of pizzas sold today
was 60. Determine the percent increase or decrease in the pizzas sold, rounded to
the nearest hundredth. (Show your work)
Answer:
App. percent decrease of 29.41%
Step-by-step explanation:
60-85/85=0.2941- 29.41%
Find the common difference of the arithmetic sequence
6.05,6.1,6.15, 6.2
Answer:
0.05
Step-by-step explanation:
Common difference = 2nd term - 1st term
= 6.1 - 6.05
= 0.05
PLEASE HELP ME!!!!!
If m
Answer:
could you add more details? you only put ¨ if M¨
Step-by-step explanation:
Answer:
[tex]if \: m \: then \: m \: can \: be \: any \: variable.[/tex]
Please someone help me with nine through 16 I’m not understanding it and I really need some help! The instructions are in bold.
Answer:
Hey there!
9) Answer: D. :---- (x +8)(x-8)
10) Answer: P. :------(x-2y)^2
11) Answer: D. :-----(2a+3b)*(2a-3b)
12) Answer: P. :-----(a+4b)^2
13) Answer: P. :-----(x-3)^2
14) Answer:. D. :----(5xy+9z)*(5xy-9z)
15) Answer: P. :-----(2a+1)^2
16)Answer: D. :---(4ab+5)*(4ab-5)
Help me!! Interested earned: $39.50 Principal: ? Interest rate: 11% Time: 6 months
Step-by-step explanation:
P×R×T/100
39.50×11×0.5/100
195.25/100
1.9525
Divide x4-3x3-5X2-7x-9 by x + 1.
The division of x4-3x3-5X2-7x-9 by x + 1. yields; x²-4x²-x-6 with a remainder of -3.
Division of polynomialsFrom the task content;
It follows that the division can be carried out using the long division method.The division of the polynomial x⁴-3x³-5x²-7x-9 by (x+1) therefore yields; x²-4x²-x-6 with a remainder of -3.
Read more on polynomial division;
https://brainly.com/question/24662212
Need this for my homework! Please help! Image attached!
The relationship between the variables x, y and z is an illustration of similar triangles
The values of x, y and z are 6, [tex]\sqrt{117}[/tex] and [tex]\sqrt{52[/tex]
How to determine the values of x, y and zRight triangles are triangles with an angle measure of 90 degrees, and we have the following equivalent ratio from the triangle
[tex]x : 9 = 4 : x[/tex]
Express as fraction
[tex]\frac x9 = \frac 4x[/tex]
Cross multiply
[tex]x^2 = 36[/tex]
Take the square root of both sides
[tex]x = 6[/tex]
The value of y is then calculated using the following Pythagoras theorem
[tex]y = \sqrt{9^2 + x^2[/tex]
This gives
[tex]y = \sqrt{9^2 + 6^2[/tex]
[tex]y = \sqrt{117[/tex]
The value of z is then calculated using the following Pythagoras theorem
[tex]z = \sqrt{4^2 + x^2[/tex]
This gives
[tex]z = \sqrt{4^2 + 6^2[/tex]
[tex]z = \sqrt{52[/tex]
Hence, the values of x, y and z are 6, [tex]\sqrt{117}[/tex] and [tex]\sqrt{52[/tex]
Read more about triangles at:
https://brainly.com/question/17972372
help i need this for rn :( 100 points
Two water balloons were launched into the air at different moments and collided. The water balloons were modeled by the quadratic functions: y = −3x2 + 24x + 3 and y = −4x2 + 25x + 15, where y represents the height in meters and x represents the time in seconds after the launch. What is the time, in seconds, that the balloons collided at the highest point?
3.25 seconds
3.50 seconds
3.75 seconds
4.00 seconds
Answer:
Step-by-step explanation:
When the balloons collide, they have the same x and y:
-3x^2 + 24x + 3 = y = -4x^2 + 25x + 15
Rearranging like terms together:
(4x^2 - 3x^2) + (24x - 25x) + (3 - 15) = 0
x^2 - x - 12 = 0
(x - 4)(x +3) = 0
x = 4 or -3
As x represents time, it cannot be negative.
The time when the balloons collide is at 4.00 seconds.
The collision means that y is equal
y=-3x²+24x+3y=-4x²+25x+15So
-3x²+24x+3=-4x²+25x+15-3x²+4x²+24x-25x=15-3x²-x=12x²-x-12=0(x-4)(x+3)=0x=4,-3As it's time so must be positive
x=4sSolve inequality -4x+5<-5
please hurry
Answer: x > [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
-4x + 5 < -5
Subtract 5 from both sides
-4x < - 10
Divde each side by -4
x < -10 / -4
Dividing each side by a negative number flips the inequality
x > - 10 / -4
- 10 / -4 = 10 / 4 = 5/2
x > 5/2
Answer:
-4x+5<-5
-4x<-5-10
-4x<-15
-4x/-4>-15/-4
x>15/4
Find the surface area of a square pyramid with side length 3 km and slant height 4 km.
Answer:
The pyramid consists of 4 triangles having bases of 3 km and height of 4 km (measured along the face)
A = 4 * 3 / 2 * 4 = 24 km^2
Each triangle has an area of 1/2 * bottom length * height
3 cannot refer to the length of one of the isosceles triangles because a slant height of 4 km is given and is less than one such side
The surface area of the square pyramid is 24 km².
What is the surface area of a square pyramid with a slant height?The surface area of a square pyramid with a slant height can be determined by the product of the base perimeter with the slant height divided by two.
Mathematically, it can be expressed as:
Surface Area S.A = P × l/2
where;
Side length (a) = 3Base perimeter (P) = 4a = 4(3) = 12kmSlant length (l) = 4 kmSurface Area (S.A) = 12 × (4/2)
Surface Area (S.A) = 24 km²
Learn about calculating the surface area of a square pyramid here:
https://brainly.com/question/22744289
#SPJ6
What is the answer to the equation
g(x) = 1/5 × (1/3)^x
X = 3
Step-by-step explanation:
since x=3
1. substitute into the equation
g(3) = 1/5 x (1/3)^3
2. solve
g(3) = 1/5 x (1³/3³)
= 1/5 x (1/27)
= 1/5 x 1/27
= 1/135 (0.00740740741)
What is 17/100 + 6/10 = ?
thx if you helped
Answer:
0.77
Step-by-step explanation:
correct me if im wrong this is just what i got
How is the graph of the parent quadratic function transformed to produce the graph of y=-(2x+6)2 + 3?
O The graph is compressed horizontally by a factor of 2, shifted left 3 units, reflected over the x-axis, and translated
up 3 units.
O The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted left 6 units, and translated
yp 3 units.
O The graph is stretched horizontally by a factor of 2, reflected over the x-axis, shifted left 3 units, and translated up
3 units.
O The graph is reflected over the x axis, stretched horizontally by a factor of 2, shifted left 6 units, and translated up
3 units.
Answer:
The graph is compressed horizontally by a factor of 2, shifted left 3, reflected over the x-axis, and translated up 3.
Step-by-step explanation:
Tell whether (2, 5) is a solution of the equation y = 2x + 1. Show your work. I’LL PUT YOU AS BRAINLIEST
Answer:
The solution of (2,5) indeed equals the solution of the equation y=2x+1
Step-by-step explanation:
to solve just plug in the values.
y=2(2)+1 which gives us the y value of y=5
to solve for x, plug in y. 5=2x+1.
subtract 1 from both sides, and you get 4=2x
then divide 2 on both sides to get x, which is 2. therefore this is true.
please rate and mark as brainlest.
use the distributive property to simply 3[ n-5) =
Answer:
3n - 15
Step-by-step explanation:
3 multiplied by n which is 3n
Then 3 multiplied by 5 which is 15
So your answer is 3n - 15
Hope I helped :)
Please consider Brainliest
(03.06 MC)
Choose the equation below that represents the line passing through the point (-2, -3) with a slope of -6.(1
point)
O y=-6x - 15
O y = -6x - 20
y=-6x + 15
Oy=-6x + 20
What’s the answer
Answer:
y= -6x - 15
Step-by-step explanation:
First you need to plug in the x and y coordinates into the equation y = -6x and you should get (-3) = -6(-2). Then you do -6 x -2 which is 12 then subtract 12 from -3 and get -15.
Just took the exam and the answer is c :)
what is −2.9, −2 3/5, −2.4 in least to greatest
Answer:
-2.9, -2 3/5, -2.4
Step-by-step explanation:
Convert 3/5 in -2 2/5 to a decimal (3/5x2=6/10=0.6)
Sort it from least to greatest (-2.9, -2 3/5, 2.4)
what is the perimeter of the rectangle shown
Answer:
Dude where is your picture?
Step-by-step explanation:
Suppose the cost of mailing a letter is $0.23 per ounce plus $0.14. The equation
gives the total cost c of mailing a letter is c = 0.23w + 0.14, where w is the weig
ounces. What is the cost of mailing a 6-ounce letter?
Answer:
$2.22
Step-by-step explanation:
First, we know that the cost of one mailing letter is $0.23 per once, plus $0.14.
Our formula is: c = 0.23w + 0.14
Let's rewrite our variables to the way it's suppsed to be.
C = cost
W = weight ounces.
Now, we have to add 0.23 plus 0.14 to get our cost.
That equals 0.37.
Now that we know that our cost for one letter is 0.37, we have to multiply
it by 6, because we are trying to figure out the cost of mailing a 6 ounce letter.
0.37 × 6 = 2.22
In conclusion, the cost of mailing a 6 ounce letter is $2.22