Answer:
2.5 seconds.
Step-by-step explanation:
h(t) = -4t^2 + 20t
= -4(t^2 - 5t)
Convert to vertex form by completing the square:
h(t) = -4[(t - 2.5t)^2 - 6.25]
= -4(t - 2.5)^2 + 25 <--------- vertex form
So the vertex is at the point (2.5, 25).
So the athlete reaches the maximum height ( of 25 feet), after 2.5 seconds.
Characterize the slope of the line in the graph.
A discounted concert ticket costs $14.50 less than the original price p. You pay $53 for a discounted ticket. Write an equation that can be used to find the original price.
Answer:
p - 14.5 = 53
Step-by-step explanation:
The original price is p.
The discounted price is $14.50 less than p, or $14.50 subtracted from p. The discounted price is p - 14.5.
The discounted price is $53
Equation:
p - 14.5 = 53
If m(x) = x2 3 and n(x) = 5x 9, which expression is equivalent to (mn)(x)?
These are functions inside another function. The resulting composite function is given as (5x+9)^2 + 3
Composite functionsThese are functions inside another function. Given the following functions
m(x) = x^2 +3
n(x) = 5x +9
We are to solve for the function m(n(x))
m(n(x)) = m(5x+9)
Substitute 5x +9 into m(x) to have:
m(n(x)) = (5x+9)^2 + 3
Hence the resulting composite function is given as (5x+9)^2 + 3
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Can someone please help me out with this question?
Answer:
Dependent
Step-by-step explanation:
Since the marble is not returned, the result of the second probability is dependent upon which marble was 1st drawn.
Alexandra volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 473 people went to The Youth Wing, 300 people went to Social Issues, and 402 went to Fiction and Literature.
On Sunday, the library had 1500 total visitors. Based on what Alexandra had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.
Answer:
pls that's the answer to the question. thanks.
Plsss HELP ASAP WILL GIVE POINTS AND BRAILEST I WILL DO IT ASAP
Jayden wants to fence a rectangular area for his garden. The length of the garden should be at least 4 ft shorter than the width. And the distance around should be no more than 32 ft. Let x = length Let y = width Write two inequalities that model this problem and enter them below.
The two inequalities will be L>W-4 and (L x W) ≤ 32.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
It is given that:-
The length of the garden should be at least 4 ft shorter than the width
The distance around should be no more than 32 ft
The two inequalities will be as follows:-
a)The length of the garden should be at least 4 ft shorter than the width
L>W-4
b)The distance around should be no more than 32 ft
(L x W) ≤ 32.
Hence the two inequalities will be L>W-4 and (L x W) ≤ 32.
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41
The table shows a bacterial population y after a days.
Day, x
0 1
2
3
4
Population, y 5 35 245 1715 12,005
a. Write an exponential function that represents the population.
y=|lx|
b. Find the population after 5 days.
There are
bacteria after 5 days.
An exponential function that represents the population is y = 5 (7)ˣ. And the population after 5 days will be 84035.
What is an exponent?The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
The table is shown.
The exponential equation is given as
y = abˣ
Then at x = 1, y will be 35. Then we have
35 = ab ...1
Then at x = 2, y will be 245. Then we have
245 = ab² ...2
On solving equations 1 and 2. Then we have
a = 5 and b = 7
Then the exponential function will be
y = 5 (7)ˣ
Then the population after 5 days will be
y = 5 (7)⁵
y = 5 x 16807
y = 84035
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How do you find the volume of a square pyramid?
Answer:
to find volume of square pyramid use this formula
Step-by-step explanation:
[tex]volume = \frac{1}{3} a {}^{2} h[/tex]
The length of a
rectangle is 12 cm
more than the width.
The perimeter is 44
cm. What is the
length of the
rectangle?
Answer:
length= 5+ 12= 17
Step-by-step explanation:
will take width as x
then the length is x+12
perimeter = x+ x+12+x+x+12= 44
=4x= 44-24= 36
x= 20/4
x= 5
#73 will give brainliest to best answer!
Answer:
y=x^2+6
Step-by-step explanation: Look at the vertex (0,6). We know the equation is quadratic so we know x^2. We know in the slope-interpect form equation the y-intercept is the term after the slope. The same applies in this equation. So that means the y intercept is 6 because y is 6 in the coordinate (0,6). We know the slope x^2. We need to plug that into the slope-intercept form equation.
The equation will be y=x^2+6.
Answer:
[tex]y = x^2 + 6[/tex]
Step-by-step explanation:
Vertex form for a parabola is [tex]y = a(x-h)^2 + k[/tex] where the vertex is [tex](h,k)[/tex]. Now for a vertex of (0,6), we can simply plug those values in for h and k: [tex]y = x^2 + 6[/tex].
Hope this helps!! :)
Luca's science class is making slime from cornstarch and glue. Luca is helping pass out materials. He gives each student 80 grams of cornstarch from a 2-kilogram bucket. If Luca's class has a total of 21 students, how many grams of cornstarch will he have left?
Answer:5
Step-by-step explanation:
GIVING BRAINLIESTTTTT!!!!!!!!!
Answer:
a. (-6, -3)
Step-by-step explanation:
A triangle has been dilated with a factor of 3.
New coordinates will be :
(x, y) ⇒ (3x, 3y)Therefore, A' will be :
(3(-2), 3(-1))(-6, -3)aare all natural numbers also a whole number? (yes/no)
Answer:
Yes
Step-by-step explanation:
Natural numbers are positive integers such as 1, 2, 3, etc., (sometimes zero as well). As such, they are indeed whole numbers, so the statement is true.
Find the area of the parallelogram.
Answer: 25 in.
Step-by-step explanation:
A = bh
A = 5 x 5
A = 25
Which sum or difference is modeled by the algebra tiles? a. (-x2 2x 3) − (x2 − 2x − 1) = -2x2 2 b. (-x2 2x 3) − (-x2 2x 1) = -2x2 2 c. (-x2 2x 3) (-x2 2x 1) = -2x2 2 d. (-x2 2x 3) (-x2 − 2x − 1) = -2x2 2
The sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2
How to determine the sum or difference?From the complete question, we have the following expressions:
(-x²+2x+3) and (-x²-2x-1)
Add both expressions
(-x²+2x+3) + (-x²-2x-1)
Expand
-x²+2x+3 -x²-2x-1
Collect the like terms
-x² -x² + 2x - 2x + 3 -1
Evaluate the like terms
-2x²+2
Hence, the sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2
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The side-lengths of a triangle are increased by a scale factor of 4. Predict
how this change will affect the area.
Answer:
It will become 64 times larger
Step-by-step explanation:
CON
Enter a range of values for x.
a
a
3x-9⁰ 93°
27
26
[?]
Enter
Answer:
3° < x < 32.538°
Step-by-step explanation:
The possible values of the angle marked with an x-expression may not be as obvious as they first seem. There is a somewhat complicated interaction between the angle value and the length of the side(s) marked 'a'.
__
We can label the vertices of the figure A through D, clockwise from the bottom.
minimum xThe minimum value of angle ACB (marked 3x-9°) is 0°. That will be its measure when AB +BC = AC, or B lies on line AC. In this case, the value of x is ...
3x -9° = 0°
3x = 9° . . . . add 9°
x = 3° . . . . . divide by 3
maximum xvalue of 'a'
The maximum value of angle ACB will be found where both triangles are isosceles: AC ≅ BC ≅ DC. The length of 'a' can be found for that case using the Law of Sines:
27/sin(93°) = a/sin(43.5°) . . . where (180° -93°)/2 = 43.5° is the base angle
a = 27×sin(43.5°)/sin(93°) ≈ 18.611
value of 3x -9°
Angle ACB will obey the same Law of Sines requirement. If z represents the base angle in isosceles triangle ABC, then we have ...
sin(z)/18.611 = sin(180-2z)/26
Recognizing that sin(180-2z) = sin(2z) and using the double-angle formula, we find ...
sin(z)/18.611 = 2sin(z)cos(z)/26
sin(z)(1/18.611 -cos(z)/13) = 0 . . . . . subtract the right side, factor
This has solutions that make the factors zero:
sin(z) = 0 ⇒ z = 0 . . . . . . an extraneous solution in this case
cos(z) = 13/18.611 ≈ 45.6925°
Then the value of x can be found from ...
3x -9° = 180° -2z ≈ 88.615°
x ≈ 3° +(88.615°/3) = 32.538°
_____
Additional comment
In the above, we have shown numerical values for the side lengths and angles in the maximum-x case. The various expressions can be combined to give ...
3(x -3°) = 180° -2(arccos(13/27×sin(93°)/sin(43.5°)))
x = 63° -2/3·arccos(13/27·sin(93°)/sin(43.5°))
Mrs. ericson is building a new balcony. what is the area of the balcony? (6 ft, 6 ft, 6 ft. 2 ft, 2 ft , 2 ft.)
Answer:
2ft 2ft
Step-by-step explanation:
2ft,2ft,2ft,2ft
Ali is playing computer solitaire. He tallies the number of times he wins and loses.
A. Use Ali’s results to estimate the probability of him winning the next solitaire game.
B. How could Ali improve the accuracy of his estimate.
Answer:
use ali result to estimate the probability of him winning the next solitaire game
Factor fully. Show all work.
a) 27m²−3
b) 10x³+5x²−50xy−25y
Answer:
A=
[tex]3(3m + 1)(3m - 1)[/tex]
Step-by-step explanation:
[tex] {27m}^{2} - 3[/tex]
Factorise
[tex]3( {9m}^{2} - 1)[/tex]
Rewrite it
[tex]3(( {3m)}^{2} - {1}^{2} )[/tex]
[tex]3(3m + 1)(3m - 1)[/tex]
A country has 33 parks that allow camping and 101 parks that have
playgrounds. Of those, 16 parks both allow camping and have
playgrounds. The country has a total of 346 parks.
What is the probability of randomly selecting a park that allows
camping or has a playground? Write your answer as a fraction.
Answer:
134:346 Add the 33 to 101 to get first number, then total number of parks 346 is the second number, they may end up wanting you to to reduce the fraction.67:143
please help i really need it
Answer:
6/63
Step-by-step explanation:
To find the probability in fraction form you must first add all the evidence together and then use that number as the denominator
Answer:
2/21
Step-by-step explanation:
There were a total of 7+6+12+19+19=63 spins, 6 of which blue.
So, you can make the fraction 6/63=2/21 to represent the probability of the spinner landing on blue the next spin
15,266,783.93 + 6,332,682.27442 - 92.833 + 20/100 divided by 42
Answer: 21599373.37618
Step-by-step explanation:
Joe paid 14.00 for a board game this is 70 of the original price what was the original price
Answer:4.2
Step-by-step explanation:
14 times 70% subtracted from 4.2
The original price or cost price of a board game is 20.
What is cost price?The cost price is the price at which "goods are bought by merchant or retailer".
According to the question,
Joe paid 14.00 for a board game which is 70% of the original price or cost price.
In order to find cost price or original price. Let 'x' be the original price or cost price
70% = 14
100% = x
x = [tex]\frac{1400}{70}[/tex] [cross multiplication]
=20
Hence, the original price or cost price of a board game is 20.
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7.
Quadrilateral PQRS is inscribed in a
circle. The ratio of m/P to m/R is 2: 4.
What is mZR?
F 30°
H 120°
G 60°
Not here
Answer: Ha
Step-by-step explanation:
Write the standard form of the equation
Answer:B
Step-by-step explanation:
HELP PLEASE. PLEASE DRAW AN EXAMPLE OF ANSWER 100 points !!!
As all sides are equal it's equitorual hexagon
An inscribed hexagon is best fit for construction
Steps
Draw a circle of radius rPut compass and take radius measure.Draw one. mark then draw 6 marks on circle one after other of measure r Connect 6 marks .Done ! We created
you can erase the circle later on
Answer:
Attachment 1
Take a compass and adjust it so that it is the width of line r.
Place the point of the compass on the left point of line r and draw a circle going through the right point of line r with radius r.
Attachment 2
Take a ruler, place it so it is against line r and extend the line r across the width of the circle (this is the diameter of the circle).
Attachment 3
Place the point of the compass on the right point of line r and draw a circle (blue circle).
Place the point of the compass on the left of the diameter and draw a circle (orange circle)
Attachment 4
The points of intersection of the 3 circles are the vertices of the hexagon.
Attachment 5
Join the points of intersection with line segments - this is your hexagon with sides equal to r.
(If necessary, erase the circles to show the hexagon only.)
Someone help me with this
Answer:
C is 17.
Use Pythagorean theorem to find c (hypotenuse)
[We can use this theorem because it is a right triangle]
a^2 + b^2 = c^2
8^2 + 15^2 = c^2
c^2 = 289
c = sqrt(289) = 17
Answer: c = 17 cm
Step-by-step explanation:
Since this is a right triangle, we will use the Pythagorean theorem to solve. The a and b variables are legs, the c variable is the hypotenuse. Here, we are solving for the hypotenuse.
a² + b² = c²
8² + 15² = c²
64 + 225 = c²
64 + 225 = c²
289 = c²
c = [tex]\sqrt{289}[/tex]
c = 17
Side c has a length of 17 cm.
3(2x + 5)= 4 (c-3) I know how to solve it but can someone explain it.
Answer:
3x×2c+1
Step-by-step explanation:
6x+15 =4c-12
[tex] \frac{6x + 15}{4c - 12} = \frac{4c - 12}{4c - 12} [/tex]
[tex] \frac{6x + 15}{4c - 12} [/tex]
[tex] \frac{3x + 5}{2c - 4} [/tex]
[tex]3x + 5 \div 2c - 4[/tex]
[tex]3x \times 2c + 5 - 4[/tex]
[tex]3x \times 2c + 1[/tex]
3) If 5 pencils costs $0.75, 7 pencils will cost
Your answer
dollars. *
Answer:
$1.05
Step-by-step explanation:
Find the unit price by dividing $0.75 by 5.
$0.75/5 = $0.15
Now find the price of 7 pencils by multiplying 7 and the unit price of $0.15.
$0.15 x 7 = $1.05
