Answer:
72 cubic inches
Step-by-step explanation:
I not sure.
A sinusodial function whose frequency is 3, maximum value is 12, minimum value is -6 has a y-intercept of 3.
What function could be the function described
Answer:
f(x)=9sin(6πx)+3
tingnan ang pattern.isulat sa sagutang papel ang nawawalang bilang. 1._1000_2000,3000 2.6330,6333,_6336_6339 3.650_750_850,950 4.7228_230_,7232,7234 5.2015,2018_2021_2024
Which is the factorization of 8x2 + 13x - 6?
G C
A
(8x - 3)(x + 2)
(x-6)(8x + 1)
(2x - 2)(4x + 3)
(4x - 1)(2x + 6)
Answer:
(8x - 3)(x + 2)
Step-by-step explanation:
A factorization must have a result equals to the original expression.
In this question:
For each option, we test to see if the result is equal, applying the distributive property and then combining like terms.
(8x - 3)(x + 2)
8x² + 16x - 3x - 6 = 8x² + 13 - 6
Equal, so this is the factorization.
(x-6)(8x + 1)
8x² + x - 48x - 6 = 8x² - 47x - 6
Different
(2x - 2)(4x + 3)
8x² + 6x - 8x - 6 = 8x² - 2x - 6
Different
(4x - 1)(2x + 6)
8x² + 24x - 2x - 6 = 8x² + 22x - 6
Different
Factorizing the algebraic expression, 8x² + 13x - 6, we would have: (8x−3)(x+2).
What is Factorization?Factorization simply means to write an algebraic expression as products of two factors.
Given the algebraic expression:
8x² + 13x - 6
Factorize as follows:
8x² + 16x - 3x - 6
(8x² + 16x) - (3x - 6)
8x(x + 2) -3(x + 2)
(8x−3)(x+2)
Therefore, factorizing the algebraic expression, 8x² + 13x - 6, we would have: (8x−3)(x+2).
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For equal intervals, _____ functions have equal factors.
Answers:
Cubic
Exponential
Linear
Quadratic
Answer:
exponential. not linear functions because they change by equal differences not intervals.
The table below models a exponential function. Find f(8)
Answer:
Step-by-step explanation:
f(x) = 65536(b)^x
Find b by substituting a point. (1, 16384)
16384 = 65536(b)^1
b=0.25
Thus,
f(x) = 65536(1/4)^x
Plug in 6,
f(8) = 1
Please I will give brainiest
Answer:
Step-by-step explanation:
x is the supplement of 133
x + 133 = 180
x + 133 - 133 = 180 - 133
x = 47
A right prism has bases that are isosceles trapezoids which have sides of length 16, 25, 25, and 30. The volume of the prism is 5520. What is the Height?
Answer:
The height is equal to 10.
Step-by-step explanation:
With an isosceles trapezoid, the two legs are the same, and then the two bases. There are 2 sides given that are the same: 25. So now we know that the two legs are 25, and the two bases are 16 and 30 (doesn't really matter which length goes with which base).
To find the volume of an isosceles trapezoid, you need to use the formula [tex]\frac{30+16}{2}[/tex] · [tex]h_{1}[/tex] · [tex]h_{2}[/tex].
You have to find the average of the bases in the trapezoidAfter that, you have to multiply the average by the trapezoid heightAfter mutliplying by the trapezoid height, you need to multiply the whole thing by the prism height, which we need to findSo, to find [tex]h_{1}[/tex], which is the trapezoid height, we need to use the Pythagorean Theorem. We know that the bottom base is 30, so when we draw altitudes from the top base to the bottom base, they are the heights of the trapezoid. The two triangles formed from the altitudes are congruent (I could prove it but just trust me that they are). The rectangle that formed has the top and bottom sides equalling 16. So now we know that the triangles that were formed have bases of 7 because of Part-Whole Postulate (PWP). Since the sides are given as 25, we can find the missing side, which happens to be the height of the triangle, using the Pythagorean Theorem.
The equation would be: [tex]7^{2} +h^{2} =25^{2}[/tex]. If you do that math, you get [tex]49+h^{2} =625[/tex] after simplifying. Now you bring the 49 to the other side and subtract, leaving you with [tex]h^{2} =576[/tex]. Now you have to square root both sides, and you should end up with h=24.
Now that we know the height, we can substitute it: [tex]\frac{30+16}{2}[/tex] · [tex]h_{1}[/tex] · [tex]h_{2}[/tex] =5520 turns into
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
given by h(t) = – 4.9t2 + 139t + 185,
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
The rocket splashes down after
seconds.
How high above sea level does the rocket get at its peak?
The rocket peaks at
meters above sea level.
Answer:
the splash down occurs when h(t) = 0
0 = -4,9t2 + 139t + 185
using the quadratic formula,
t = -1.27 or 29.64 seconds
since time can't be negative
t = 29.64 secs
at the peak, h(t) is maximum
applying calculus,
[d{h(t)}}/dt = -9.8t + 139
at h(t) maximum, [d{h(t)}}/dt is 0
0 = -9.8t + 139
9.8t = 139
t = 14.18 secs
substituting,
h(t) = – 4.9t2 + 139t + 185
h(t) = -4.9(14.18^2) + 139(14.18) + 185
= 1170.77 m
Answer:
Step-by-step explanation:
y = ax² + bx + c
D = b² - 4ac
[tex]x_{12}[/tex] = ( - b ± √D ) ÷ 2a
[tex]y_{max}[/tex] = - [tex]\frac{b}{2a}[/tex]
~~~~~~~~~~~~~
h(t) = - 4.9t² + 139t + 185
- 4.9t² + 139t + 185 = 0
D = 139² + 4(- 4.9)(185) = 22947
[tex]t_{12}[/tex] = ( - 139 ± √22947) ÷ 2(- 4.9)
[tex]t_{1}[/tex] ≈ 29.641 ≈ 30 seconds
[tex]t_{2}[/tex] < 0
[tex]h_{max}[/tex] = - 4.9( [tex]-\frac{139}{2(-4.9)}[/tex] )² + 139( [tex]-\frac{139}{2(-4.9)}[/tex] ) + 185 ≈ 1170.7653 ≈ 1171 meters
Under her cell phone plan, Ellie pays a flat cost of $50 per month and $5 per
gigabyte. She wants to keep her bill under $70 per month. Write and solve an
inequality which can be used to determine g, the number of gigabytes Ellie can use
while staying within her budget.
Answer:
She can use 4GB of data
You keep on adding five dollars on top of 50 until you reach 70.
Help please!
Store A sells jeans for 7/8 of the price at Store B. Store A sells jeans
for $35. Write and solve an equation to find how much you save by
buying jeans at Store A.
Answer:
35/(7/8)=
35*8/7=40 store B
40-35=$5 Saved
Step-by-step explanation:
Hope this helps :D
what is the equation of a circle with a radius of 7 and centered at point (3,-4)
Answer:
(x - 3)² + (y + 4)² = 49
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + *y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 4) and r = 7 , then
(x - 3)² + (y - (- 4) )² = 7² , that is
(x - 3)² + (y + 4)² = 49 ← equation of circle
the difference between 4/9 of a number and 7 is 5
first what quantities do we need to talk about?
the problem speaks of “a number”, let’s call that number x.
now write the equation that relates x to the other numbers we know.
the first clue is the word “difference”.
this means “subtraction”, but we need to subtract something from something else.
what are the two somethings? ”a number times 7” and “4”.
so, since we have a name for “a number”, let’s translate this as x*7 - 4 what else do we know?
it says the difference is 9. So complete the equation x*7 - 4 = 9 if we rewrite this cosmetically, 7x - 4 = 9
i assume that you know how to solve this for x.
so then wehn solving 7x - 4 =9 we take -4 change it to +4 so then +9 we go and get 13
7x = 13
7/7 = 13/7
x= 13/7
HELP PLZ will mark as brainlest
Answer:
1 6/7
Step-by-step explanation:
Explain what a composite number is.
Answer:
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself
Need help immediately
What is the equation of the line shown?
Kate's employer will reimburse her $0.45 per
mile that she drives for work-related purposes.
She drove 21.4 miles for personal reasons
last week and the rest for work purposes.
How much will she be reimbursed?
21. Which is the correct answer
Note: (if you give me a silly or absurd answer I will report you)
Answer:
Step-by-step explanation:
Jajajjajajjaajajajajajja
Denote the set below by set-builder notation, using x as the variable.
{1,3,5, ..., 67}
Choose the correct answer below.
O A. {x|x is even natural numbers less than 68}
B. {x|x is an odd natural number less than 68}
C. {x|x is an odd natural number between 1 and 67}
D. {x|x is an odd natural number greater than 1}
Answer:
C. {x|x is an odd natural number between 1 and 67}
Step-by-step explanation:
B and C is also correct if the natural number is defined to be started with 1: positive integer,
but if it's defined to be non-negative real number then only C
Set-builder notation of the given set is {[tex]x | x[/tex] is an odd natural number less than [tex]68[/tex]}.
What is set?
" Set is defined as the collection of the given object with certain properties."
According to the question,
Given set,
[tex]\{1,3,5, ..., 67\}[/tex]
[tex]'x'[/tex] represents the variable
A. {[tex]x | x[/tex] is an even natural numbers less than [tex]68[/tex]}.
Even numbers are multiple of 2, given set does not represents set of even numbers.
Option(A) is not the correct answer.
B. { [tex]x | x[/tex] is an odd natural number less than [tex]68[/tex]}.
[tex]\{1,3,5, ..., 67\}[/tex] represents set of odd numbers , all numbers are less than 68.
Hence, Option (B) is the correct answer.
C. {[tex]x |x[/tex] is an odd natural number between [tex]1[/tex] and [tex]67[/tex]} means [tex]\{ 3, 5, 7,...., 65\}[/tex]
Here between [tex]1[/tex] and [tex]67[/tex] excludes [tex]1[/tex] and [tex]67[/tex]. But in the given set [tex]1[/tex] and [tex]67[/tex]
are included.
Option (C) is not the correct answer.
D. {[tex]x |x[/tex] is an odd natural number greater than [tex]1[/tex]} means [tex]\{ 1, 3, 5,...........\}[/tex]
Here this set goes till infinity.
Option (D) is not the correct answer.
Hence, Option (B) is the correct answer.
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What are the possible values of x? Select all that apply
Answer:
the answer is b
Step-by-step explanation:
The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa"
HURRY PLEASE!! Find the missing side, m.
Answer:
m=18
Step-by-step explanation:
If 10 is 15. The scale factor is 150%. Times 10 by 1.5 to get 15. Times 12 by 1.5 to get 18.
Which parametric equations represent (x + 1)2 + (y – 3)2 = 16
PLEASE HELP WILL GIVE BRAINLIEST
x = 8cos(t) – 1 and y = 8sin(t) + 3
x = –cos(t) + 8 and y = 3sin(t) + 8
x = 4cos(t) – 1 and y = 4sin(t) + 3
x = –cos(t) + 4 and y = 3sin(t) + 4
Answer:
x = 4cos(t) – 1 and y = 4sin(t) + 3
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which:
The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:
[tex]x(t) = r\cos{(t)} + x_0[/tex]
[tex]y(t) = r\sin{(t)} + y_0[/tex]
In this question:
[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]
This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:
x = 4cos(t) – 1 and y = 4sin(t) + 3
I've attached a screenshot, if you can solve this I would love an answer and explanation. :)
Answer:
11.75, 2.9375
12, 3
12.48, 3.12
Step-by-step explanation:
First, let's go over what they want us to do.
Boring but brief history lesson of geometry:
In the beginning of the history of geometry and circles, mathematicians would find the approximate circumference of circles by drawing polygons inside of circles and finding the perimeter of that polygon. In other words, the approximate circumference of the circle about the perimeter of the shape. The more side lengths there are, the smaller each side is, and the closer the perimeter is to the actual circumference (more on this later)
Problem 1:
The pentagon has a side length of 2.35, so the perimeter is 5 * 2.35 = 11.75
Thus, the approximate circumference is 11.75.
The diameter of a circle is r * 2, or 4, so the ratio of the circumference to the diameter is 11.75 / 4, or 2.9375
Problem 2:
The hexagon has a side length of 2, so the perimeter is 6 * 2 = 12. Thus, the approximate circumference is 12.
The ratio of the circumference to the diameter is 12 / 4, or 3.
Problem 3:
The dodecagon (12 sided shape) has a side length of 1.04, so the perimeter is 12 * 1.04 = 12.48.
The ratio of the circumference to the diameter is 12.48 / 4 = 3.12
Although we are done, let's ~circle~ back (sorry for the pun) to the idea that this exercise is trying to tell us.
The circumference of a circle is 2πr (which is also equal to the diameter times pi). So in this example, the circumference should be 2 * π * 2, or 4π. π is approximately 3.14159, so 4π is about 12.56636. And the ratio of this to the diameter (which is 4) is, if you look at how we got 4π, should be π no matter what.
Note: the definition of π is the ratio of a circles circumference to its diameter, so this makes sense.
Do you see how the approximate circumferences are slowly getting closer to the actual circumference of 12.56?: 11.75, 12, and 12.48
Look at the progression of approximate circumferences / diameter: 2.9375, 3, 3.12. These are slowly getting closer to π (3.14)
As you can see, the more sides, and the more "circular" the shape becomes, the closer the polygon/approximate circumference is to an actual circle.
I hope this helps! Feel free to ask any questions! :)
How many triangles can you make with the following sides: 1,3,10
PLS HELP ME ASAP I NEED HELP-
20 PTS.
PLEASE HELP ILL GIVE BRAINLIEST
There are 175 glasses ellen need to wash she washes 68% of the glasses . How many glasses does Ellen have left to wash
Answer:
175-119= 56
Step-by-step explanation:
because 68%of 175 = 119
so she has washed 119 and 56 are left
Which exponential functions have been simplified correctly? Check all that apply.
f(x) = 53/16* = 5(23/2)*
F(x) = 2.310 Ž* = 2.3(43*
F(x)=81-34
OfW) = 27' = (3/3)*
Orx)=(24) ** = 2(13)
Answer:
A, C, and D are the exponential functions that have been simplified correctly
What is the relationship between the angles of this equilateral triangle
Answer:
Is it A+B+C= 180 degrees
Step-by-step explanation:
all angles in a triangle add up to 180 degrees. It's also an equilateral triangle so each of its angles are 60 degrees
Answer:
Is it A+B+C= 180 degrees
Step-by-step explanation:
all angles in a triangle add up to 180 degrees. It's also an equilateral triangle so each of its angles are 60 degrees
There is a scale model of the White House in Tobu World Square in Japan. The scale used for the model is 1:25. The height of the main building of the White House is 85 feet. Find this height on the model. (3.4 feet)
Answer:
3.4 multiply 1-4
Step-by-step explanation:
there is a scale of white house
Please help!!!
Can someone find out what a, b, c, and d is??
Answer:
a=64
b=112
c=78
d=88
Step-by-step explanation:
hope this helps have a nice day !!!
Question 3
Name the transformations of the next equation y
Answer:
1غىخةضهاثضخ
Step-by-step explanation:
ى7غ-3ص0ض49ة=