Answer:
See below in bold.
Step-by-step explanation:
h = -16t^2 + 120t + 10
To find the height and time for maximum we convert to vertex form:
h = -16(t^2 - 7.5t) + 10
h = -16 [(t - 3.75)^2 - 14.0625] + 10
h = -16(t - 3.75)^2 + 225 + 10
h = -16(t - 3.75)^2 + 235
So the time to reach maximum height is 3.75 seconds and the maximum height = 235 ft.
Find the smallest positive integer k such that 360k is a cube number.
Answer: k = 75
Step-by-step explanation:
360
∧
36 10
∧ ∧
6 6 2 5
∧ ∧
2 3 2 3
Prime factorization of 360 is: 2³ · 3² · 5
Since we want a perfect cube, every number must be to the power of 3.
That means we need a 3 and 2 more 5s to make a cube
k = 3 × 5 × 5
= 75
Answer:
k = 75
Step-by-step explanation:
Factorize 360
360 = 36 * 10
= 2 * 2 * 3 * 3 * 2 * 5
As 360k is cube number, k = 3 * 5 * 5
k = 75
360k = 360 * 75 = 27000 is a perfect cube
Indicate whether the sentence or statement is true or false. Operations within parentheses should be completed before other operations.
Answer:
True
Step-by-step explanation:
4x - 2y = -2 6x + 3y = 27
Answer:
Step-by-step explanation:
4x - 2y = -2 ------------------(I)
6x + 3y = 27 ------------------(II)
Multiply (I) by 3 & multiply (II) by 2
(I)*3 12x - 6y = -6
(II)*2 12x + 6y = 54 { Now add & y will be eliminated}
24x = 48
x = 48/24
x = 2
Plugin the value of x in equation (I)
4*2 - 2y = - 2
8 - 2y = -2 {subtract 8 from both side}
-2y = -2 - 8
-2y = -10 {Divide both sides by -2}
y = -10/-2
y = 5
I REALLY NEED HELP YALL LIVES DEPEND ON IT!! plz help (ASAP )
Answer:
53%
49%
1 2
Step-by-step explanation:
540 / (540+470) = 0.5346
452 / (470+452) = 0.4902
Digital downloads of Album 1 :
470 / (540+470) = 0.4653
Digital downloads of Album 2 :
452 / (571+452) = 0.4418
(would really, reallly appreciate the brainliest)
Which system of equations can be graphed to find the soultion(s) to x^2=2x+3
Answer:
[tex]\left \{ {{y=x^2} \atop {y=2x+3}} \right.[/tex]
Step-by-step explanation:
The system would be:
[tex]\left \{ {{y=x^2} \atop {y=2x+3}} \right.[/tex]
And I attached the graph. The system will have 2 solution (The 2 intercepts between the curves)
If you were to measure a person once a year, every year, from the ages of ten to twenty-five, would your ordered pairs
of age and height represent a function?
Ono
yes
Answer:
yes :) most ordered pairs would be a function.
Answer:
yes
Step-by-step explanation:
Most functions are already ordered pairs.
A rectangular prism has a volume of 720 cubic units. How many unit cubes would fill the volume of the solid if they were packed without any gaps or overlaps?
Answer: 720 I think
Step-by-step explanation: Because if there are 720 cubic units, you can only fit 720.
There will be 720 cubes of side 1 unit that fill the prism if they were packed without any gaps or overlaps.
What is volumes?Volume is defined as the space occupied within the boundaries of any three-dimensional solid.
Given that, a rectangular prism has a volume of 720 cubic units, we need to find that, how many unit cubes would fill the volume with the solid if they were packed without any gaps or overlaps,
So, to find the same, we will divide the volume of the prism by the cube.
Volume of the cube = side³ = 1³ = 1
Therefore, number of cubes to be fitted = 720 / 1 = 720
Hence, there will be 720 cubes of side 1 unit that fill the prism if they were packed without any gaps or overlaps.
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15 pigs are entered in the "Best Pig" competition at the county fair. The
judges will award very special pigs with blue, red, and white ribbons. In how
many different ways can these ribbons be awarded to 3 of the 15 pigs?
A. 455
B. 3375
C. 45
D. 2730
Answer:
D.2730
Step-by-step explanation:
15x14x13=2730
A triangle has side lengths 3.4 cm, 4 cm, and 5.2 cm. The angle measures are 40°, 50°, and 90°.
What type of triangle is this triangle?
acute scalene
right isosceles
acute isosceles
right scalene
Answer:
right isosceles I'm pretty sure
The solution is Option D.
The triangle is a right scalene triangle
What is a Scalene Triangle?A scalene triangle is a type of triangle with three different length sides and three interior angles that add up to 180 degrees. Scalene triangles have no equal of parallel sides , hence there is no line of symmetry. The interior angles of a scalene triangle can be acute , right or obtuse angles.
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
The measures of the sides of the triangles are 3.4 cm , 4 cm and 5.2 cm
The measures of angles of triangle are 40°, 50°, and 90°
Since the triangle is having all its length and sides different , it is a scalene triangle
Now , For a right angle triangle
hypotenuse² = base² + height²
( 5.2 )² = ( 3.4 )² + ( 4 )²
( 5.2 )² = 11.56 + 16
( 5.2 )² = 27.56
Hence , the triangle is a right scalene triangle
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3
Select the correct answer.
What is a benefit of health insurance?
O A.
It covers outpatient surgery expenses for your family and friends.
OB.
It guarantees a certain sum of money to your family after your death.
OC.
It ensures that you get paid despite being absent from work because of poor health.
OD
It reduces the cost of your health services and treatments.
Reset
Next
Answer:
D: It reduces the cost of your health services and treatments.
Step-by-step explanation:
if a 10-pound turkey cost $20.42 how much does a 21-pound turkey cost
First divide $20.42 by 10 to find the cost of 1 pound/16 ounce turkey.
Dividing, this gives us 2.042.
Now, to find the cost of a 21-pound turkey, we multiply
the cost of 1 turkey by 21 to get 42.882.
So a 21-pound turkey is $42.882.
Find the exact value of tan (-1740)°
Answer:
square root of 3
Step-by-step explanation:
Use calculator
HELPPPPPPPPP
jonah earned $5 more than half of karen’s salary, k. which of the following expressions represents jonahs earnings.
Jonah earned $5 more than half of Karen's salary, k. Which of the following expressions represents Jonah's earnings?
one half(k + 5)
one halfk + 5
one half + k + 5
one halfk > 5
Answer:
one halfk + 5
Step-by-step explanation:
The expression (1/2)k + 5 represents Jonah's earnings option (B) one-half k + 5 is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
A linear equation can be defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Jonah earned $5 more than half of Karen's salary, k
Let Jonah's salary is J
J = 5 + (1/2)k
Or
= (1/2)k + 5
The above expression represents Jonah's earnings and the expression is a linear expression.
Thus, the expression (1/2)k + 5 represents Jonah's earnings option (B) one-half k + 5 is correct.
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PLEASEEEE ASAP I NEED HELP Drag the tiles to the correct boxes to complete the pairs.
Match the one-to-one functions with their inverse functions.
f(x)=3-17
f(x) = 1-10
fix)= 322
f(x) =
Inverse Function
Function
$-+()=56
s-lis) =
1-1(x)=1+10
311 +17)
(140) =
Answer:
in order to right to left
Step-by-step explanation:
4th
3rd
2nd
1st
The required functions are obtained as f(x) = x/5, f(x) = ∛(2x), f(x) = x - 10 and f(x) = 2x/3 - 17 respectively.
What is the inverse of a function?The inverse of a function y = f(x) is defined as a function having range as the domain of the function f(x) and domain as the range. Mathematically it can be written as f⁻¹(y) = x which implies that f⁻¹(f(x)) = x.
The given problem can be solved as follows,
(a) f⁻¹(x) = 5x
Substitute x = f(x) to obtain,
f⁻¹(f(x)) = 5f(x)
=> x = 5f(x)
=> f(x) = x/5
(b) f⁻¹(x) = x³/2
Substitute x = f(x) to obtain,
f⁻¹(f(x)) = f(x)³/2
=> x = f(x)³/2
=> f(x) = ∛(2x)
(c) f⁻¹(x) = x + 10
Substitute x = f(x) to obtain,
f⁻¹(f(x)) = f(x) + 10
=> x = f(x) + 10
=> f(x) = x - 10
(d) f⁻¹(x) = 3( x + 17)/2
Substitute x = f(x) to obtain,
f⁻¹(f(x)) = 3( f(x) + 17)/2
=> 2x = 3( f(x) + 17)
=> 2x/3 = f(x) + 17
=> f(x) = 2x/3 - 17
Hence, the functions for the given inverse functions are f(x) = x/5, f(x) = ∛(2x), f(x) = x - 10 and f(x) = 2x/3 - 17 respectively.
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Harvey bought a. Frame in which he put his family picture in what is the area of the frame not covered by the picture
Answer:
Area of the frame not covered with photo is equal to 129 square inches
Step-by-step explanation:
Given: Image of a frame
To find: Area of the frame not covered by the picture
Solution:
Area of rectangle = length of the rectangle × breadth of rectangle
Area of the frame = length of frame × breadth of frame = 23 × 15 = 345 square inches
Area of the frame covered with photo = 18 × 12 = 216 square inches
Area of the frame not covered with photo = Area of the frame - Area of the frame covered with photo = 345 - 216 = 129 square inches
2cosx-square root of 3?
Answer:
1.73
Step-by-step explanation:
The following are the temperatures in °C for the first 10 days in January:
-4.2, -7.6, -2.3, -6.4, -3.3, 5.4, -7.7 ,-8.2 ,1.6 ,8.6
Calculate the range.
ok so to find the range it is the biggest subtracted from the smallest so it would be
8.6- -8.2= 16.8
I worked it out to be 16.8 hope this helps
The sum of two numbers is 43. One number is five less than three times the other number. What is the largest number?
Answer:
31
Step-by-step explanation:
Let the numbers be x and y.
"The sum of two numbers is 43." gives us the first equation.
x + y = 43
"One number is five less than three times the other number." gives us the second equation.
y = 3x - 5
Now we solve the system of two equations below.
x + y = 43
y = 3x - 5
Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.
x + y = 43
x + 3x - 5 = 43
4x - 5 = 43
4x = 48
x = 12
The first number is 12. Now we find the second number.
x + y = 43
12 + y = 43
y = 31
The larger number is 31.
Answer:
31 is greater
Step-by-step explanation:
I will solve your system by substitution.
x=3y−5;43=x+y
Step: Solve x=3y−5 for x:
Step: Substitute 3y−5for x in 43=x+y:
43=x+y
43=3y−5+y
43=4y−5 (Simplify both sides of the equation)
43+−4y=4y−5+−4y (Add -4y to both sides)
−4y+43=−5
−4y+43+−43=−5+−43 (Add -43 to both sides)
−4y=−48
(Divide both sides by -4)
y=12
Step: Substitute12foryinx=3y−5:
x=3y−5
x=(3)(12)−5
x=31(Simplify both sides of the equation)
Answer:
x=31 and y=12
31 is greater than 12
What are the solutions to the quadratic equation 2x^2+x=3
Answer:
2x^2+x=3
Step-by-step explanation:
2x^2-2x+3x-3=0
2x(x-1)+3(x-1)=0
(2x+3)(x-1)=0
x=-3/2
x=1
brainlist and thanks if correct answer is screen shot
Answer:
y = 8/5
Step-by-step explanation:
y /2 = 4/5
Multiply each side by 2
y/2 * 2 = 4/5 *2
y = 8/5
Place the fractions 3 7 , 1 3 , 2 5 , and 3 8 in order from least to greatest.
Answer:
[tex]1/3,[/tex] [tex]3/8,[/tex] [tex]2/5,[/tex] [tex]3/7[/tex]
Step-by-step explanation:
[tex]3/7 \approx 0.42857142857[/tex]
[tex]1/3 \approx 0.33333333333[/tex]
[tex]2/5 = 0.4[/tex]
[tex]3/8 = 0.375[/tex]
Answer:
1/3,3/8,2/5,3/7
Step-by-step explanation:
An angle is bisected, forming two new angles. If the original angle had a measure of 14 degrees, what is the measure of each new angle?
Hello I think the answer would be 7
An angle bisector, bisects an angle into two equal small angles
14 divided by 2 is 7
Hope this helps :)
The measure of each new angle will be 7°.
Since we are given the information that the original angle had a measure of 14 degrees, then when the angle is bisected, forming two new angles, we have to divide the original angle by 2. This will be:
= 14°/2
= 7°
Therefore, the measure of each new angle will be 7°.
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The function f is defined by f(x) = 2x²-1.
Find f (2x).
Answer: [tex]f(2x)=8x^2-1[/tex]
Step-by-step explanation:
All that is required here is to substitute x = 2x into the right side in the same way that is done for a numeric value.
[tex]f(2x) = 2(2x)^2-1\\f(2x) = 2(4)x^2-1\\f(2x) = 8x^2-1\\[/tex]
subtract- a(b-5) from b(5-a)
Answer:
5b - 5a
Step-by-step explanation:
b(5 - a) = 5b - ab
- a(b - 5) = - ab + 5a
Subtracting gives
5b - ab - (- ab + 5a) ← distribute parenthesis by - 1
= 5b - ab + ab - 5a ← collect like terms
= 5b - 5a
f h(x) = 2x + 1, find h(2x-3).
Answer:
h(2x - 3) = 4x - 5
Step-by-step explanation:
If h(x) = 2x + 1
h(2x - 3) = 2(2x - 3) + 1 = 4x - 5
Find the total amount of money John has after 6 months
John invested $700, at an interest rate of 2.5%, for 6 months. Find the interest earned.
Interest earned is $ 8.75
Total amount of money earned=708.75
Please see the attached picture for full solution
Hope it helps..
Good luck on your assignment
Choose EVERY true proportion.
BC
BD
ВС
BD
O AC
ВС
Answer:
a,b
Step-by-step explanation:
Find the value of x in each case. Give reasons to justify your solutions!
H∈ IG
Answer:
x = 24°
Step-by-step explanation:
Lines JH and EG are the parallel lines and HF is a transverse.
∠JHF ≅ ∠HFE [Interior alternate angles]
m∠JHF = 2x
Since, m∠JHF = m∠JHG + m∠FHG
2x = m∠JHG + x
m∠JHG = 2x - x = x
Since m∠JHI + m∠JHG = 180° [Supplementary angles]
156° + m∠JHG = 180°
m∠JHG = 180 - 156
m∠JHG = 24°
x = 24°
Therefore, x = 24° will be the answer.
What is the area of the parallelogram? 144 in² 72 in² 50 in² 25 in²
Answer:
A = 144 in ^2
Step-by-step explanation:
To find the area
A = l*w
A= 9*16
A = 144 in ^2
Simply multiply the width (9) by the height (16) to get 144 inches squared.
BRAINLIEST ANSWER Twice the difference of a number and 4 is equal to three times the sum of the number and 6. Find the number.
Answer: -26
Step-by-step explanation:
2(n - 4)= 3(n + 6)
2n -8 = 3n + 18
+8 +8
2n = 3n + 26
-3 -3
-1n = 26
n= -26
