Answer:
An example of monomial having a degree of 82 = x⁸²
An example of a binomial having a degree of 99 = x⁹⁹ + x
Answered by GAUTHMATH
The height, h, in metres, of a rocket t seconds after it is launched is approximately modelled by the quadratic relation h = 80t - 16t2. To the nearest second, how long is the rocket in the air?
Answer: 5 s
Step-by-step explanation:
Given
Height of the rocket can be modelled as [tex]h=80-16t^2[/tex]
Rocket will land on earth when it's height becomes 0
[tex]\Rightarrow 80t-16t^2=0\\\Rightarrow t(80-16t)=0\\\\\Rightarrow t=0\ \text{or}\ t=\dfrac{80}{16}=5\ s[/tex]
Neglecting 0 value
Thus, rocket remains in air for 5 s.
Does anyone know the answer to this? I’m getting confused
Answer:
0
Step-by-step explanation:
Substitute b into -3.
Hence,
(b+3)(b²-5b+7)=(-3+3)(-3²-15+7)
=(0)(1)
=0
A A theatre show lasts 162 minutes. How many hours long is 162 minutes? Show any remaining minutes as a decimal.
Answer:
2. 42 hrs
Step-by-step explanation:
we know that there are 60 minutes in one hour.
60 mins = 1 hour
162 mins = 162/ 60
[tex] \frac{162}{60} = \frac{120 + 42}{60} \\ = \frac{120}{60} + \frac{42}{60} \\ = 2 hrs+ \frac{42}{60} hrs[/tex]
42/ 60 hourse would mean 42 mins ( multiply the fractions with 60)
= 42 mins
therefore,
2hrs 42 mins
= 2. 42 hrs.
plzzz helppppp 111111
Answer:
233 or option D
Step-by-step explanation:
In all shapes, all the angles add up to 360
So . . .
95 + x + 32 + x = 360
127 + x + x = 360
360 - 127 = 233
Therefore, your answer is 233 or option D
Answer:
233, D
Step-by-step explanation:
First, we know that the angles of a quadrilateral add up to 360 degrees. Therefore,
m∠a+m∠b+m∠c+m∠d = 360
m∠a+95+m∠c + 32 = 360
m∠a+m∠c + 127 = 360
subtract 127 from both sides
m∠a + m∠c = 233
The area of a rectangle is 33 ft^2, and the length of the rectangle is 5 ft less than double the width. Find the dimensions of the rectangle.
Answer:
Length = 6
Width = 5.5
Step-by-step explanation:
Let's use the variable x to represent the width:
x = width
The question says that the length of the rectangle is "5 ft less than double the width". This length can be represented like this:
2x - 5 = length
To find the area of a rectangle, you multiply the width and length, so we are going to write an equation where we multiply the width and length and set it equal to 33 ft^2, which is the area:
(x)(2x - 5) = 33
Now use basic algebra to solve for x:
2x^2 - 5x = 33
2x^2 - 5x - 33 = 0
2x^2 + 6x - 11x - 33 = 0
(2x^2 + 6x) + (-11x - 33) = 0
2x(x + 3) - 11(x + 3) = 0
(2x - 11) (x + 3) = 0
x = 11/2, -3
x either equals 11/2 or -3. However, remember that x represents the width, and you can't have a negative number for a width, so x = 11/2 or 5.5.
Now plug in 5.5 to the length expression and simplify:
2(5.5) - 5
11 - 5 = 6
The length is 6 and the width is 5.5.
Hope this helps (●'◡'●)
How is volume calculated for a triangular prism?
Multiply the area of triangle base by the prism’s total area.
Multiply the area of the triangular base by the prism’s height.
Multiply the area of the triangular base by the triangle’s height.
Multiply the area of the rectangular face by the height of the prism.
Answer:
B
Step-by-step explanation:
The volume of any prism whose height is perpendicular to the base is
V = B * h
The base can be anything, even a 17 sided figure. As long as the base has an area that can be found, and the height is perpendicular to it, the volume can be calculated.
Answer:
How is volume calculated for a triangular prism?
Multiply the area of the triangular base by the prism’s height.
Please help
Me find that last box I’m struggling
Answer:
(0,-4)
Step-by-step explanation:
To find the y-intercept, substitute x=0
y= -3(0)^2+12(0)-4
=-4
Answer:
Axis of symmetry: x=2Vertex: (2, 8)Y-intercept: (0, -4)Min/Max: MaximumStep-by-step explanation:
Concept:
Quadratic equation formula: y=ax²+bx+c
Axis of symmetry formula=-b/2a
Y-intercept formula=c
Minimum or maximum is determined by the first term of the equation, which is [a]. If [a] is positive, then it is a minimum equation as the parabola heads up. If [a] is negative, then it is a maximum equation as the parabola heads down.
Given:
y = -3x² + 12x - 4
Solve:
The axis of symmetry formula = -b/2a
-(12)/2(-3) = 2The Vertex
y=-3x²+12x-4=-3(2)²+12(2)-4=8(2, 8)Y-intercept=c=(0, -4)
Min/Max
Since [-3] is negative, it is maximumHope this helps!! :)
Please let me know if you have any questions
A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20%, what is the change in the area of the rectangle? The change in the area of the rectangle is
Answer:
no change in area
Step-by-step explanation:
The original area is
A = 12*5 = 60 ft^2
The new length and width
l = 12 + .25 (12) = 12+3 =15
w = 5 - .2 (5) =5-1 = 4
The new area is
A = l*w =15*4 = 60 ft^2
The area is the same
If Earth was 10 times farther away from the sun than it is now, which planet would it be closest to? (Assume all the planets are aligned with the sun and are on the same side of the sun.) Compare Earth's new distance to that planet. How far apart would they be in standard notation? How far apart in scientific notation? Show your work.
Answer:Answer: - The Earth will be closest to Saturn. - The Earth and Saturn will be 38,800,000 miles apart in standard notation
Step-by-step explanation:
becuase the earth and saturn are pretty farr
The sum of twice a number and 9 is-25
Tulio will invest $1,000,000 at 5% annual interest. Determine how much money will Tulio have after 10 years if the interest is calculated using the following methods.
Answer:
$1,500,000
Step-by-step explanation:
Given
Principal = $1,000,000
Rate = 5%
Time = 10years
Interest = PRT/100
Interest = 1000000*5*10/100
Interest = 100000*5
Interest = $500,000
Amount after 10years = $1,000,000+ $500,000
Amount after 10years = $1,500,000
Help anyone can help me do this question,I will mark brainlest.
Answer:
Answer is in attached image
I hope it help...
Write An expression of the fourth degree with a leading coefficient of 5, a quadratic term with a coefficient of 3, a linear term with a coefficient of -8 and a constant of six.
Answer:
[tex] {5x}^{4} + 3 {x}^{2} - 8x + 6[/tex]
Step-by-step explanation:
Math
explain why the following equation is nonlinear. y=3x^5
plz help
Answer:
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 5 .
Therefore, it is not linear.
How to find a parallel sides of trapezium length 7.3mm and 5.3mm ,and it's height is 5mm calculate the area of a trapezium
Answer:
31.50 mm²
Step-by-step explanation:
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = 1/2 x (sum of the lengths of the parallel sides) x height
1/2 x ( 7.3 + 5.3) x 5 = 31.50 mm²
What should be done so that the expression will have a value of 28?
6 + 2 + 32 × 2
Answer:
6+2+(32×2)
6+2+(64)
8+64
72
difference between 72 and 28
72-28
=44
add 44 to make the value 28
Please i need help lllll
Answer:
C
Step-by-step explanation:
A function x values must correspond to one y values.
One y values can correspond to two different x values.
C shows this isn't a function
Let g(x)= -2(3x+4)(x−1)(x−3)^2 be a polynomial function. Name all horizontal and vertical intercepts of the graph. State the end behavior of g.
Answer:
The vertical intercepts is
(4/3,0) (3,0) (1,0)
The horinzontial intercepts is
(0,72)
The end behavior is
as x approaches positive infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches negative infinity.
Step-by-step explanation:
The vertical or y intercepts will be zeroes of the following factors.
[tex]3x + 4 = 0[/tex]
[tex]x - 1 = 0[/tex]
[tex](x - 3) {}^{2} = 0[/tex]
We solve for x each time.
[tex]x = - \frac{4}{3} [/tex]
[tex] x = 1[/tex]
[tex]x = 3[/tex]
Part B). We need to find the intercepts by setting the equation equal to zero.
The constant expanded will equal 72.
If x=0,
[tex] {0}^{y} = 0[/tex]
where y is any real number.
So this means all the exponets will equal 0. The constant will just add to the term. so our horinzontal intercept is
[tex]0 + 72 = 72[/tex]
Part C) End Behavior
The leading degree is even. Even Degree Polynomials like Quadratics tend to go approach positive infinity vertically as x approaches positive infinity, and as x approaches negative infinity, it approaches positive infinity vertically.
Our leading coefficient is negative so this means our quadratic will get reflected across the x axis.
Now this means, as x approaches positive infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches negative infinity.
At the bulk food store, Jerry bought 200 g of mixed nuts that cost $2.50. What is the cost of 1 g of nuts? show ur work
Step-by-step explanation:
200g=$2.50
1g=?
2.50*1=?*200
2.50/200=?
$0.0125
which linear function shows a direct variation
Answer:
a pod t.v. Ka ssh Mic yummy
2 2.4.3 Quiz: Adding and Subtracting Functions
Question 4 of 10
If f(x) = 3x - 2 and g(x) = 2x + 1, find (f + g)(x).
A. 5x - 1
B. X-3
C. X-1
D. 5x-3
Answer:
Ii's letter A
Step-by-step explanation:
If functions f(x) = 3x - 2 and g(x) = 2x + 1 then (f+g)(x) value is 5x-1, Option A is correct.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given functions are f(x) = 3x - 2 and g(x) = 2x + 1
We have to find the function (f+g)(x)
By property of the function (f+g)(x) = f(x) + g(x)
Now plug in the values of function f(x) and g(x)
(f+g)(x)= 3x-2+2x+1
Combine the like terms
(f+g)(x)= 5x-2+1
= 5x-1
Hence, if functions f(x) = 3x - 2 and g(x) = 2x + 1 then (f+g)(x) value is 5x-1, Option A is correct.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ7
a company's stock was selling at 28 a share. a month later, it was selling at 21 a share. what is the percent loss?
Answer:
25% loss
Step-by-step explanation:
Take the original amount and subtract the new amount
28 -21 = 7
Divide by the original amount
7/28 = .25
Change to percent form
25%
25% loss
Find out the values of x and y from the following ordered pairs.
(x + y, 2) = (13, 2x – y)
Answer:
(x, y) = (5,8)
Step-by-step explanation:
Comparing the ordered pairs we get, x+y=13 and 2=2x-y. Solving it we will get, x=5 and y=8
UNESS has a contribution margin ratio of 0.25. UNESS operations income was sh.100 000blast year when the sales totaled sh. 1 000 000.What is UNESS fixed expense? A sh.250 000 B sh.350 000 C sh.150 000 D sh.225000
Answer:
D sh.225000
Step-by-step explanation:
Calculation to determine UNESS fixed expense?
Using this formula
Fixed expense=(Total sales - Operating income)*Contribution margin ratio
Let plug in the formula
Fixed expense=($1,000,000-$100,000)*0.25
Fixed expense=$900,000*0.25
Fixed expense=$225,000
Therefore UNESS fixed expense is $225,000
Business math problem, whats the formula for this, how do I do this?
========================================================
Explanation:
x = sticker price, which is some number larger than 9 (otherwise the store loses money)
x-9 = profit made per speaker
To get the gross margin percentage, we divide the profit over the sales (aka revenue). So we'll divide (x-9) over x
The expression (x-9)/x represents the gross margin in decimal form. Set this equal to 0.80 and solve for x
-----------------
(x-9)/x = 0.80
x-9 = 0.80x
x-0.80x = 9
0.20x = 9
x = 9/0.20
x = 45
The sticker price is $45
-------------------
If the sticker price is $45 per speaker, then the store owner gets 45-9 = 36 dollars in profit per speaker sold. The gross margin would be (profit)/(sales) = 36/45 = 0.80 = 80%
In other words, 80% of the revenue is profit (the remaining 20% is costs or expenses).
what is the remainder when 3 is synthetically divided into the polynomial -2x^2 + 7x -9
Answer:
-6
Step-by-step explanation:
-6 is the answer .
Hope it helps you
Answer:
-6
Step-by-step explanation:
Question 4 of 5
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used
Match each explicit formula to its corresponding recursive formula.
(8) = 5(5)(1-1)
(n) = 3 +5(n-1)
(3) = 5+3(1-1)
7(n) = 3(5)(n-1)
$(n) = 5 +5(n-1)
f(1) = 5
(*) = 3;(n - 1), for 3
(1) = 5
(n) = f(n-1) +5, for n?
f(1) = 5
f(n) = f(n-1) + 3, for n?
Given:
The recursive formulae.
To find:
The correct explicit formulae for the given recursive formulae.
Solution:
If the recursive formula of a GP is [tex]f(n)=rf(n-1), f(1)=a, n\geq 2[/tex], then the explicit formula of that GP is:
[tex]f(n)=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
The first recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=3f(n-1)[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of a GP with a=5 and r=3. So, the required explicit formula is:
[tex]f(n)=5(3)^{n-1}[/tex]
Therefore, the required explicit formula for the first recursive formula is [tex]f(n)=5(3)^{n-1}[/tex].
If the recursive formula of an AP is [tex]f(n)=f(n-1)+d, f(1)=a, n\geq 2[/tex], then the explicit formula of that AP is:
[tex]f(n)=a+(n-1)d[/tex]
Where, a is the first term and d is the common difference.
The second recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=f(n-1)+5[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of an AP with a=5 and d=5. So, the required explicit formula is:
[tex]f(n)=5+(n-1)5[/tex]
[tex]f(n)=5+5(n-1)[/tex]
Therefore, the required explicit formula for the second recursive formula is [tex]f(n)=5+5(n-1)[/tex].
The third recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=f(n-1)+3[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of an AP with a=5 and d=3. So, the required explicit formula is:
[tex]f(n)=5+(n-1)3[/tex]
[tex]f(n)=5+3(n-1)[/tex]
Therefore, the required explicit formula for the third recursive formula is [tex]f(n)=5+3(n-1)[/tex].
What is the y-coordinate of the red point ?
A. -3
B. 2
C. -2
D. 3
Answer:
A is the y-coordinate of the red point.
Can someone please help me with this I’m struggling
Answer:
Equation: [tex]70=(x+3)x[/tex]
x = -10 or x = 7
x = 7 (width can't be negative)
x + 3 = 10
Step-by-step explanation:
Represent the width of the rectangle by x. "The length of a rectangle EXCEEDS the width by 3" means the length is 3 LONGER than the width, so the length is represented by the expression x + 3.
Area = (length)(width)
70 = (x + 3)x
Multiply out the right side.
[tex]70=x^2+3x\\x^2+3x-70=0[/tex]
Factor the left side.
[tex](x+10)(x-7)=0[/tex]
Each binomial could equal 0, so
[tex]x+10=0 \text{ or }x-7=0\\x=-10\text{ or }x=7[/tex]
The negative solution does not make sense as the width of a rectangle.
x = 7, making the length, x + 3 = 10
Answer:
Pls mark this as brainiest
Step-by-step explanation:
Area of the rectangle = length x breadth
consider 'x' to be width
therefore length = x+3
area = (x+3)*x
Area = 70 square
x = 7
x+3 = 7+3
= 10
verification
7 x 10
= 70
Question 4(Multiple Choice Worth 4 points)
.
(08.03)Solve the system of equations and choose the correct answer from the list of options.
X + y = -3
y = 2x + 2
a- five over 3, four over 3
b-negative five over 3, negative four over 3
c- negative 3 over 5 negative 3 over 4
D- 3 over 4, 3 over 5
Answer:
Hello,
Answer B (-5/3,-4/3)
Step-by-step explanation:
I am going to use the substitution 's method.
[tex]\left\{\begin{array}{ccc}x+y&=&-3\\y&=&2x+2\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&2x+2\\x+2x+2&=&-3\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&2x+2\\3x&=&-5\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&-\dfrac{5}{3} \\\\y&=&2*(-\dfrac{5}{3})+2\\\end {array} \right.\\\\\\\boxed{\left\{\begin{array}{ccc}x&=&-\dfrac{5}{3} \\\\y&=&-\dfrac{4}{3}\\\end {array} \right.\\}[/tex]
