9514 1404 393
Explanation:
Understanding what a variable stands for is essential when substituting values or interpreting answers.
__
For example, consider the equation for arc length:
s = rθ
The variables stand for ...
s — arc length in units of distancer — radius of the arc in the same units of distanceθ — the angular measure of the arc in radians (unitless)For proper use of this formula, it is essential to understand that the variables s and r have the same units of length. The angular measure is not degrees (or grads), but is the unitless measure of angles known as radians.
It would be erroneous to use feet or yards for 'r' and expect the arc length 's' to be in miles. Similarly, it would be erroneous to substitute 30° for θ, instead of the equivalent radian measure π/6.
These errors can be avoided if the variables are properly described.
An orange is shot up into the air with a catapult. The function h given by h(t)=15+60t-16t^2 models the orange’s height, in feet, t seconds after it was launched select all the true statements about the situation.
Complete question is:An orange is shot up into the air with a catapult. The function h given by h(t) = 15 + 60t - 16t² models the orange’s height, in feet, t seconds after it was launched.
Select all the true statements about the situation.
Options:
1. The domain of function h only contains values greater than or equal to 0.
2. The orange is at the same height 1 second after launch and 2 seconds after launch.
3. After 3 seconds, the orange has hit the ground.
4. The orange is 15 feet above the ground when it is launched.
5. The value t = 10 does not belong to the domain of h.
Answer:
Option 1 - True
Option 2 - False
Option 3 - False
Option 4 - True
Option 5 - True
Step-by-step explanation:
Looking at the options,
-The domain is the x or t value and it is time. Now, time can only be positive or greater than or equal to zero i.e. t ≥ 0. Thus, option 1 is true.
- At t = 1 second;
h = 15 + 60(1) - 16(1)²
h = 15 + 60 - 16 = 59 ft
Also, at t = 2 seconds;
h = 15 + 60(2) - 16(2)²
h = 15 + 120 - 64 = 71 ft
So,value of h is not the same at t = 1 and t = 2. Thus, option 2 is not true.
- The orange will hit the ground when h(t) = 0.
However, at t = 3;
h(t) = 15 + 60(3) - 16(3)²
h(t) = 51 ft
h(t) is not equal to zero at t = 3, so option 3 is false
- when the orange is launched it is at time t = 0.
Thus,
h(0) = 15 + 60(0) - 16(0)²
h(0) = 15 ft
So option 4 is true.
- At t=10, h(t) = 15 + 60(10) - 16(10)²
h(10) = -985
This means the orange would be below ground level and thus doesn't belong to the domain of h, so option 5 is true.
Answer:
1 true 4 true and 5 true the rest are false
Step-by-step explanation:
Solve by factoring
6a^2=-23a-20
Answer:
x=[tex]\frac{-4}{3}[/tex] or x=[tex]\frac{-5}{2}[/tex] I suggest using the MathPapa or the Symbolab websites for more factoring problems.what is the amount paid or charged for something.
Answer:
cost
Step-by-step explanation:
Answer:
It is the cost
Step-by-step explanation:
An item is regularly priced at $85. It is on sale for 15% off the regular price.
Someone help
Answer:72.25
Step-by-step explanation:
Answer:
$72.25 is the price of the $85 item on sale for 15% off the regular price.
Step-by-step explanation:
First you need to find out how much 15% off the original price is:
85 x .15 (change percent to a decimal by moving the decimal point to the left two times, so if it was 25%, the decimal form is .25)
85 x .15= 12.75, so there is $12.75 off the original price of $85.
$85 - $12.75= $72.25!
Yw!
If B = 0 in a linear equation of the form Ax + By = C, then which statement is also true? A. The graph of this equation is a horizontal line. B. The graph of this equation is a vertical line. C. The graph of this equation is a slanted line. D. The graph of this equation can be any straight line.
Answer:
A) Its horizontal lineStep-by-step explanation:
Ax + By = C
so Ax + (0)y = C
a= c /x
its horizontal
Answer:
c
Step-by-step explanation:
Apples are on sale for $1.49 per pound. What is the price for 2 1/2 pounds of apples? Express your answer in decimal form, and round your answer to the nearest hundredth.
PLS I NEeD THIS TO PASS PLEASE Please awnser
Answer:
Step-by-step explanation:
Price of one pound of apples = $1.49
∴Price of 2 and 1/2 pound of apples = [tex]2\frac{1}{2}[/tex] × [tex]1.49[/tex]
= 2.5 × 1.49
= 3.725
= $ 3.73
Hope this helps!!
Please mark as Brainliest!!
Answer:
$3.73
Step-by-step explanation:
HELP!!! BRAINLIEST GETS 20+ POINTS!!!!!
Write 0.42525252525252525... as a fraction in simplest form
Answer:
17/40
17 over 40
Hey can anyone pls pls help me in dis math problem real quick!!!!!!
Answer:
1. 10.64
2. 6.45
Step-by-step explanation:
Hope this helps and can u mark me brainliest?
Can someone Help me with this
Answer:
33.165
Step-by-step explanation:
Answer:
33.165
Step-by-step explanation:
4.95*6.7= 33.165
hope this helps
Which inequality represents the
graph below?
Answer:
The first choice is correct
Answer:
A which is the top left answer
Step-by-step explanation:
Given parallelogram ABCD, m\angle A=5x+18 and m\angle B=3x-6 find find m\ C
Answer:
57
Step-by-step explanation:
Firstly, we will need to calculate what x is.
To calculate this, the important property of the parallelogram to use is that adjacent angles are supplementary.
This means A and B are supplementary while B and C are also supplementary
what we are trying to say is that they add up to be 180
Thus,
5x + 18 + 3x -6 = 180
8x +12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21
Thus, the measure of angle B is 3x-6 = 3(21) -6 = 63-6 = 57
Now, another important property of parallelograms is that opposite angles are equal. This means that angle B= C = 57
How many significant digits are there in the number 0.0001001? A. 4 B. 6 C. 8 D. 10
Answer:
A. 4
Step-by-step explanation:
leading zeros not included and the sig figs start from the first 1 so 4 sig figs
Answer:
4
Step-by-step explanation:
help me with this question.thank u
Answer:
see below
Step-by-step explanation:
P( yellow) = number of yellow sections / total sections
= 4/20
1/5
20%
Answer:
a.
4 out of 20
1/5
or 20%
b. The probability may not be as much as the other colors on the wheel depending on how many colors and how many sections of each. You have a 20% chance out of all colors to get the color yellow.
how do you find volume on cylinder with radius and height
Answer:
V = pi r^2 h
Step-by-step explanation:
The formula for the volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
Answer:
pi × r² × h
Step-by-step explanation:
Formulae for volume of a cylinder is:
V = pi × r² × h
Where,
r is the radius
h is the height
For pi, either use the value on the calculator or an approximate value of 3.14
Which property can be used to solve the equation? 5 d = 75 addition property of equality subtraction property of equality multiplication property of equality division property of equality please answer fast
Answer:
Multiplication Property of Equality
Step-by-step explanation:
Answer:
Division Property of Equality..
Step-by-step explanation:
Sophie has to choose seven different positive (non zero) whole numbers whose mean is 7.
What is the largest possible number that she could choose as one of the seven numbers?
The largest possible number that she could choose as one of the seven numbers is _ _ because
Answer:
The largest possible number is 28.
Step-by-step explanation:
Sophie has to choose seven different numbers whose mean is 7, this means that the sum of the numbers is 49. (since the mean is the sum of them all divided by 7 and if we want the mean to be 7, then the sum would need to be 49).
We are asked what is the largest possible number she could choose, so therefore, the other six numbers should be non-zero and the smallest ones so she would have to choose the numbers from 1 to 6 first.
Let's see how much they sum up: [tex]1+2+3+4+5+6=21[/tex]
So now, she needs one more number to sum up to 21 and that will give her 49 in total, this number is 28 (since 28 + 21 =49).
Thus, 28 is the largest number she could choose because if she chose any other greater number the mean would be bigger than 49.
Michael has soccer practice every other day, swimming practice every third day, and tennis lesson every 5th day. This Wednesday he had soccer, swimming, and tennis. a In how many days will Michael have all three sports at the same day again?
Answer:
30
Step-by-step explanation:
The LCM of 2,3,5 is the result of multiplying all prime factors the greatest number of times they occur in either number. The LCM of 2,3,5 is 2⋅3⋅5 = 30
Answer:
30
Step-by-step explanation:
Its that easy. I got the answer from online.
If one factor of x2 + 2x - 24 is (x+6), what is the other factor?
eOf
(x+8)
(x-8)
(x+4)
(x-4)
Answer:
(x - 4)
Step-by-step explanation:
Given
x² + 2x - 24
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (+ 2)
The factors are + 6 and - 4, since
6 × - 4 = - 24 and 6 - 4 = + 2, thus
x² + 2x - 24 = (x + 6)(x - 4) ← in factored form
Thus the other factor is (x - 4)
The solution is Option D.
The equation x² + 2x - 24 = 0 has the factors as ( x + 6 ) and ( x - 4 )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
x² + 2x - 24 = 0 equation (1)
The equation can be factorized as
x² + 6x - 4x - 24 = 0
Taking x as the common factor , we get
x ( x + 6 ) - 4 ( x + 6 ) = 0
So , the equation will be
( x + 6 ) ( x - 4 ) = 0
Therefore , the factors of x are -6 and 4
Hence , the factors of the equations are ( x + 6 ) and ( x - 4 )
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ6
Someone please help me
C, D, and E are most likely to be right. Its either all of them, one of them, or two of them. A is impossible to use in the equation and if you use b, you get 45.5.
Please help!
a The v-intercept in the year 2010 is less than the y-intercept in the year 2015.
b The v-intercept indicates that the value of the statue was $19,000 in they year 2010.
c The v-intercept indicates that the value of the statue increased by 12% in one year.
d The v-intercept is 112% greater than the value of the statue in 2010.
Hi can you please help me
These questions are some teacher's hairbrained idea that we can keep the students current on algebra while learning geometry. While there are many ways to combine algebra and geometry, this way is awful.
Triangle angles add to 180 degrees. Geometry done.
Equation that models ...:
2x + 5 + 3x + 7 + 2x = 180
Solving,
7x + 12 = 180
7x = 168
x = 168/7 = 24
Answer: x=24
A=2x+5=2(24)+5= 53°
B = 3x+7 = 3(24) + 7 = 79°
C = 2x = 48°
Answer: A=53°, B=79°, C=48°
what is the square root of 3.375
Answer: 1.83712
Step-by-step explanation:
Answer:
[tex]\sqrt{3.375}[/tex] = ~1.837
Garry is studying a square pyramid and wants to draw a net of the figure
to help determine its surface area. Which net represents a square pyramid?
Answer:
On this picture, it is b, but for edge, it is c
Step-by-step explanation:
Answer:
c but b in the pic
Step-by-step explanation:
Solve for x. 4x^2 - 48x + 144 = 0
Simplify the complex fraction.
Alw
2 3/4 1 1/8
Answer:
= 99/32
Step-by-step explanation:
2 3/4 1 1/8
= 11/4 * 9/8
= 99/32
What is the area of the circle with a D equals 10
Answer:
A =78.5
Step-by-step explanation:
We need the radius to find the area of a circle
r = d/2 = 10/2 =5
The area of a circle is given by
A = pi r^2
A = 3.14 (5)^2
A =3.14 (25)
A =78.5
What is 0.35714285714 as a fraction?
Answer:
0.35714285714 as a fraction equals 35714285714/100000000000
Step-by-step explanation:
To write 0.35714285714 as a fraction you have to write 0.35714285714 as numerator and put 1 as the denominator.
Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.35714285714 = 0.35714285714/1 = 3.5714285714/10 = 35.714285714/100 = 357.14285714/1000 = 3571.4285714/10000 = 35714.285714/100000 = 357142.85714/1000000 = 3571428.5714/10000000 = 35714285.714/100000000 = 357142857.14/1000000000 = 3571428571.4/10000000000 = 35714285714/100000000000
I hope this helps :)
A 2-column table with 9 rows. The first column is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 6, negative 2, 0, 4, 4, 0, negative 2, negative 6, negative 10. Based on the table, which best predicts the end behavior of the graph of f(x)? As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞. As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.
Answer:
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞Step-by-step explanation:
First, you need to graph all given points in the table, that way you will be able to determine the end behavior.
Remember, the end behavior of a function is the behavior of f(x) as x approaches to positive infinity and negative infinity.
So, based in the graph, we can say that as x approaches to positive infinity, f(x) approaches to negative infinity, and as x approaches to negative infinity, f(x) approaches to negative inifinity. In other words, in either case, f(x) always approaches to negative infinity.
Therefore, the right answer is the last choice.
Answer:
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞
Step-by-step explanation:
Just took the test!!!
Which inequality represents the phrase below?
a number greater than or equal to 71
A.
x is less than 71
B.
x is greater than 71
C.
x is greater then 71
D.
x is less than 71
Im sorry this does not make a lot of sense
BUT I REALLY NEED THIS
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
i had this one
Claire owns a local bakery and sells boxes of muffins. Each box contains 6 muffins. If she sells 7 boxes of muffins by closing time on Thursday, how many muffins did she make to fill all the boxes that she sold?
42
0.9
1
13
Answer: Claire made 42 muffins by closing time
Step-by-step explanation:
Pretty simple math just multiply 6 muffins by 7 boxes and you get your answer.
