The greatest value is 8, which means n can be either 8 or any number less than 8.
The inequality would be n is less than or equal to 8, which is written as:
n ≤ 8
Answer:
this is from two years ago so can i just-
Step-by-step explanation:
while you calculate the distance do you start from the bottom or the top?
Answer:
You start at the bottom
Distance, often assigned the variable d, is a measure of the space contained by a straight line between two points. Distance can refer to the space between two stationary points (for instance, a person's height is the distance from the bottom of his or her feet to the top of his or her head) or can refer to the space between the current position of a moving object and its starting location.
Suppose that the height of the slide is 2 feet,
when x = 20. What is the average rate of change
over the entire slide?
The average rate of change over the entire slide is [tex]\( \frac{1}{10} \)[/tex] feet per foot.
To find the average rate of change over the entire slide, we need to calculate the change in height divided by the change in distance over the entire slide.
Let's denote:
- [tex]\( h_1 \)[/tex] as the initial height (when x = 0),
- [tex]\( h_2 \)[/tex] as the final height (when x = 20).
Given that the height of the slide is 2 feet when ( x = 20 ), we have:
[tex]\[ h_2 = 2 \, \text{feet} \][/tex]
We also know that the height of the slide is 0 feet when ( x = 0 ), so:
[tex]\[ h_1 = 0 \, \text{feet} \][/tex]
Now, the change in height ([tex]\( \Delta h \)[/tex]) over the entire slide is:
[tex]\[ \Delta h = h_2 - h_1 = 2 \, \text{feet} - 0 \, \text{feet} = 2 \, \text{feet} \][/tex]
The change in distance ([tex]\( \Delta x \)[/tex]) over the entire slide is simply the distance traveled, which is:
[tex]\[ \Delta x = 20 \, \text{feet} \][/tex]
The average rate of change over the entire slide ([tex]\( \text{Avg ROC} \)[/tex]) is then:
[tex]\[ \text{Avg ROC} = \frac{\Delta h}{\Delta x} \][/tex]
[tex]\[ \text{Avg ROC} = \frac{2 \, \text{feet}}{20 \, \text{feet}} \][/tex]
[tex]\[ \text{Avg ROC} = \frac{1}{10} \][/tex]
The average rate of change of the slide height is calculated as 0.1 feet per foot, indicating that the height increases by 0.1 feet for every foot along the slide.
Step by step calculation:
The average rate of change of a function over an interval is calculated using the formula:
Average Rate of Change = (Change in Height) / (Change in Distance)In this problem, we know the height ( extit{y}) of the slide at x = 20 feet is 2 feet. Let's assume the starting height at x = 0 is 0 feet.Using the points (0, 0) and (20, 2), we apply the formula:Average Rate of Change = (2 - 0) / (20 - 0) = 2 / 20 = 0.1 feet per foot
This means the height increases by 0.1 feet for every foot traveled along the length of the slide.
i need help asap please
Answer:
C
Step-by-step explanation:
Given the inequality
(x - 3)(x + 5) ≤ 0
Find the zeros by equating to zero
(x - 3)(x + 5) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 5 = 0 ⇒ x = - 5
Thus the domain is split into 3 intervals
--------------------------------------------------------------
- ∞ < x ≤ - 5 → (1)
- 5 ≤ x ≤ 3 → (2)
3 ≤ x < + ∞ → (3)
Select a test point in each interval and check validity
x = - 10 → (- 13)(- 5) = 65 > 0 ← not valid
x = 0 → (- 3)(5) = - 15 < 0 ← valid
x = 10 → (7)(15) = 105 > 0 ← not valid
Solution is { x | - 5 ≤ x ≤ 3 }
What is the slope of the line whose equation is 2x - 4y = 10?
Please I need this right away !
Answer:
1/2
or
0.5
Step-by-step explanation:
you need to get the line in the form of y = mx + b
2x - 4y = 10 Subtract 3x from both sides
-4y = - 2x + 10 3x on the left disappears. Divide by - 4
-4y/-4 =-2x/-4 +10/-4 Do the division
y = (2/4)x - 2.5
y = (1/2)x - 2.5
The slope is the number in front of the x
y = 0.5x - 2.5
In which step did Rena make the first error?
Answer: Step 4
Step-by-step explanation:
Rena made the first mistake in step 4 because she left the terms [tex]2^{3} and (-1)^{21}[/tex] in the denominator, when in the previous step they were also in the denominator but raised to -1, which means that they should be in the numerator.
The right step 4 would be:
[tex]\frac{2^{3} (-1)^{21} }{2^{6} } =\frac{-1}{2^{3} } =\frac{-1}{8}[/tex]
Answer: step 4
!!
Step-by-step explanation:
If you apply the changes below to the absolute value parent function, f(x) =|x|
what is the equation of the new function?
• Shift 5 units right.
• Shift 7 units down,
Answer:
The new function is g(x) = Ix - 5I - 7 ⇒ answer C
Step-by-step explanation:
* Lets revise the translation of a function
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
* Now lets solve the problem
∵ f(x) = IxI
∵ f(x) is shifted 5 units to the right
∵ If the function f(x) shifted to the right by h units
∴ g(x) = f(x - h)
- Change IxI to Ix - 5I ⇒ (1)
∵ f(x) is shifted 7 uints down
∵ If the function f(x) shifted down by k units
∴ g(x) = f(x) - k
- Change f(x) to f(x) - 7 ⇒ (2)
- From (1) and (2) the new function is:
g(x) = Ix - 5I - 7
* The new function is g(x) = Ix - 5I - 7
Enter the correct value so that each expression is a perfect-square trinomial.
x2 – 10x +
Answer:
[tex]x^2-10x+25[/tex]
Step-by-step explanation:
We have been given an expression [tex]x^2-10x+[/tex]. We are asked to convert our given expression into perfect-square trinomial.
We know that an equation in form [tex]x^2+bx+c[/tex] is a perfect square, if [tex]c=(\frac{b}{2})^2[/tex]
To convert our given expression into perfect-square trinomial, we need to add [tex](\frac{10}{2})^2[/tex] to our given expression.
[tex](\frac{10}{2})^2=5^2=25[/tex]
Therefore, our perfect square trianominal would be [tex]x^2-10x+25[/tex].
Simplify (5√2-1)^2
10 √2+51
-10 √2+51
41 √2
The coordinates of points A and B (2, 3) and (-2,-4) respectively.what is the slope of the line that connects two points
Answer:
7/4
Step-by-step explanation:
The slope of the line going through (2,3) and (-2,-4) can be found by:
A) Lining up points
B) Subtracting the numbers vertically
C) Answer: Putting 2nd difference over 1st difference (yes a fraction)
Let's do it!
( 2 , 3)
-( -2 , -4)
--------------
4 7
So the slope is 7/4
For this case we have that by definition, the slope of a line is given by:
[tex]m = \frac {y2-y1} {x2-x1}[/tex]
We have as data the following points:
[tex](x1, y1) = (2,3)\\(x2, y2) = (- 2, -4)[/tex]
Substituting in the formula we have:
[tex]m = \frac {-4-3} {- 2-2}[/tex]
Equal signs are added and the same sign is placed:
[tex]m = \frac {-7} {- 4}\\m = \frac {7} {4}[/tex]
Answer:
[tex]m = \frac {7} {4}[/tex]
Consider the graph of the equation y = 5. Which statements are true? Check all that apply.
The graph of y = 5 is a vertical line.
The graph of y = 5 is a horizontal line.
The graph of y = 5 is neither a vertical line nor a horizontal line,
The point (5,3) lies on the line.
The point (-4, 5) lies on the line.
Answer:
y=5 is horizontal
(-4,5) is on the line
Step-by-step explanation:
y= a number is always a horizontal line
x= b number is always a vertical line
So y=5 is horizontal and it includes every single ordered pair with a y-coordinate of 5. So it contain the ordered pair (-4,5).
So there are two statements.
The correct statements are :
The graph of y = 5 is a vertical line.
The point (-4, 5) lies on the line.
What are equations?An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
How to know which statements are true?The equation y = 5 is a line parallel to the y axis .So, the line is vertical.The line also passes through all the points with ordinate 5
So the line passes through ( -4,5)
So options A and D are correct.
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What is the distance between the points (-4, 1) and (6, 8)?
Round your answer to the nearest hundredth.
Answer:
12.21
Step-by-step explanation:
Step 1: You got to find the distance between your x's
Step 2: You got to find the distance between your y's
Step 3: Apply Pythagorean Theorem: That is do:
[tex]\sqrt{ (\text{ distance of x})^2+( \text{ distance of y})^2}\\[/tex]
So x distance is 10 (I just did 6-(-4))
So y distance is 7 (I just did 8-1 )
As per the formula, I'm going to square both... Then add those squared results together like so 100+49=149
Last step is the square root...
[tex]\sqrt{149} \approx 12.21 [/tex]
Answer:
12.21
Step-by-step explanation:
hope it helps
Nick found the quotient of 8.64 and 1.25....
Answer:
No, the power multiplied to 8.64 should havean exponent of zero.
HOPE THIS WILL HELP YOU
Answer:its the second one or b
Step-by-step explanation:
There are three kids. The sum of individual squares of their body weights (2 + 2 + 2) is 100. The sum of the product of their weights taking two friends at a time i.e. + + is 150. What will the weighing machine read if all the three kids stand on it at the same time?
Answer:
20
Step-by-step explanation:
Givens
Let child one = x
Let child two = y
Let child three = z
Equations
x^2 + y^2 + z^2 = 100
xy + xz + yz = 150
Solution
There's a trick here. The square of their weights added together is equal (with some modification) to the given conditions. Start by squaring (x+y+z).
(x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2xz + 2yz
Take out 2 as a common factor from the last three terms.
(x + y + z)^2 = (x^2 + y^2 + z^2+ 2(xy + xz + yz) )
Substitute the given conditions into the equation. (x^2 + y^2 + z^2) = 100 and 2*(xy + xz + yz) = 2 * 150
(x + y + z)^2 = 100 + 2*150
(x + y + z)^2 = 100 + 300
(x + y + z)^2 = 400
Take the square root of both sides.
sqrt(x+y+z)^2 = sqrt(400)
x + y + z = 20
Note
This answer tells you nothing about the values of x y and z. On the other hand it does not ask for the values of x y and z.
what is the quotient? 5/4c^2÷15/7c assume c is not equal to 0
Answer:
The quotient is [tex]\frac{7}{12c}[/tex]
Step-by-step explanation:
Given expression is: [tex]\frac{5}{4c^2}\div \frac{15}{7c}[/tex]
While dividing two fractions, first we need to change the division sign into multiplication and then flip the second fraction.
So, we will get.....
[tex]\frac{5}{4c^2}\div \frac{15}{7c}\\ \\ =\frac{5}{4c^2}\times \frac{7c}{15}\\ \\ =\frac{35c}{60c^2}\\ \\ = \frac{7}{12c} \ \ [Dividing\ both\ numerator\ and\ denominator\ by\ 5c][/tex]
So, the quotient is [tex]\frac{7}{12c}[/tex]
Answer:
the answer is B
Step-by-step explanation:
just did the assignment on edge
The presence of an angle bisector will result in what type of angles ?
Answer:
Congruent Angles
Reasoning:
An angle bisector bisects/splits an angle into two equal/congruent parts/angles.
Answer with explanation:
→ The Meaning of Angle bisector is that line or line segment which divide an Angle in two equal Parts.
→So, If a Line or line segment that is Angle bisector is bisecting an Angle , it will divide the angle into two equal Angles.
For example: Suppose an Angle has Measure of 60°, the Angle bisector will divide it into two congruent Angles each being equal to 30°.
⇒The presence of an angle bisector will result in Congruent type of angles
Rhea is solving a math puzzle. To find the solution of the puzzle, she must find the product of two numbers. The first number is the sum of 23 and x, and the second number is 18 less than two times the first number. Which of the following functions represents the product of these two numbers?
Opions are:
A.
P(x) = 2x^2 + 74x + 644
B.
P(x) = 2x^2 + 28x - 414
C.
P(x) = 2x^2 + 102x + 1,288
D.
P(x) = 2x^2 + 110x + 1,472
Answer:
It's B.
Step-by-step explanation:
First is x + 23 and second is 2x - 18.
So the product is
(x + 23)(2x - 18)
= 2x^2 - 18x + 46x - 414
= 2x^2 + 28x - 414
Evaluate a + b for a = 2 and b = 3.
For this case we have the following expression:
[tex]a + b[/tex]
We must evaluate the expression to:
[tex]a = 2\\b = 3[/tex]
Substituting the values in the expression we have:
[tex]2 + 3[/tex]
Equal signs are added and the same sign is placed.
So:
[tex]2 + 3 = 5[/tex]
Finally, the value of the expression is 5.
Answer:
[tex]a + b = 5[/tex]for[tex]a = 2[/tex] and[tex]b = 3[/tex]
Which equation represents the line that passes through the points (-6,7) and (-3,6)?
Answer:
y= -1/3x+5
Step-by-step explanation:
What is the period of f(x)=sin(x)?
-Pi/2
-Pi.
-3pi/2.
-2pi
Answer:
2pi
Step-by-step explanation:
period for sin is 2pi/b
its only x theres 1 before x so its 1x=b
2pi/1
= 2pi
The period of function f ( x ) = sin ( x ) is 2π.
The sine function ( sin ( x ) ) is a periodic function, which means it repeats its values in regular intervals. The period of sin(x) is the length of one complete cycle of the function before it starts repeating itself.
The period of the function f ( x ) = sin( x ) is 2π.
In the case of sin ( x ), it completes one full cycle ( from 0 to 2π ) every 2π units. Therefore, the period of f ( x ) = sin ( x ) is 2π.
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solve this problem in order of operations 4-[6(3x+2)-x]+4
[tex]4-(6(3x+2)-x)+4=-(18x+12-x)+8=-(17x+12)+8=-17x-12+8=-17x-4[/tex]
Tickets to see a movie cost $5 for children and $8 for adults. The equation 5x + 8y =
80 represents the number of children (x) and adults (y) who can see the movie with
$80. If no adults see the movie, how many children can see the movie with $80?
a) 13
b) 16
c) 6
d) 10
Answer:
16 chlildren
Step-by-step explanation:
5x+8y=80
y=0
5x=80
x=8-0/5=16
Answer:
Step-by-step explanation:
The answer is B.16
Since the equation is 5x+8y=80
There are no parents so it equation will turn into 5x+8(0)=80, AKA, 5x=80
Using algebra, 5x=80 will x=80/5
which is 16
Solve for x
6(x-1) =9(x+2)
Answer:
ive got you fam <3 your answer is x= -8
Step-by-step explanation:
isolate the variable by dividing each side by factors that dont contsin the variable
Write an expression to represent the perimeter of 12a, 6a+8, 10a-4, 6a+8
Answer:
34a + 12
Step-by-step explanation:
12a + 6a + 8 + 10a - 4 + 6a + 8
combine like terms
12a + 6a + 10a + 6a
and 8 + 8 - 4
34a + 12
The table shows a pattern of exponents.
What is the pattern as the exponents decrease?
Answer:
Option C is correct.
Step-by-step explanation:
We need to find the pattern as the exponent decreases.
the first value in the table is 125.
if we divide 125 by 5 i.e 125/5 we get 25
the next value in the table is 25
if we divide 25 by 5 i.e 25/5 we get 5
the next value in the table is 5
if we divide 5 by 5 i.e 5/5 we get 1
the next value in the table is 1
if we divide 1 by 5 i.e 1/5 we get 1/5
the next value in the table is 1/5
if we divide 1/5 by 5 i.e 1/5*5 we get 1/25
the next value in the table is 1/25
So, the pattern is if we divide the previous value by 5 we get the next value in the table.
So, Option C is correct.
Answer:
The answer is C
Step-by-step explanation:
I just took the test
Find the perimeter of the following shapes.
Answer:
4. (a) = 12 m
(b) = 27 cm
(c) = 24 mm
(d) = 18 km
(e) = 10 m
(f) = 36 cm
Step-by-step explanation:
Perimeter is sum the distance round a figure.
if a shape has those, they signify that the shape has two side that are equal
a) 4 + 4 + 2 + 2 = 12. The top part is equal to the bottom part signified by those two lines. And the left is equal to the right .
b) 10 + 10 + 7 = 27
c) 5 + 5 + 8 + 6 = 24
d) 3 + 3 + 6 + 6 = 18
e) 2.5 + 2.5 + 2.5 + 2.5 = 10
f) 12 + 7 + 7 + 5 + 5 = 36
If you need any clarification or more explanation pls do mention in the comment section. i would like to help more.
Hope this helps and if it does pls mark as branliest answer thx.
A baker makes a cake shaped like a hexagonal prism of it takes 32 ounces of batter to make a cake with height of 5 inches which Of These is the area of hexagonal base use 1 ounce ~3.125
A) 25 square
B)20 Square
C) 15.625 square
D) 100 square
Answer:
c
Step-by-step explanation:
Follow below steps:
The area of the hexagonal base of the cake:
Calculate the volume of the cake: 32 ounces * 3.125 = 100 cubic inches.
The volume of a hexagonal prism: Volume = area of base * height. Since height is 5 inches, the area of the base is 100 / 5 = 20 square inches.
What is the reflection image of (5,-3) across the line y = -x?
Set m contains the values {-12, -7, 4, 11} and set n contains the values {-3,2,8}. What is the greatest possible difference of m^2 - n^2 ?
A. 76
B. 117
C. 140
D. 153
Answer:
C. 140
Step-by-step explanation:
We want m^2 to be the largest value it can be, so ignoring the sign of m the largest value of |m| is 12
(-12)^2 = 144 which is the largest value of m^2
We want n^2 to be the smallest it can be, so ignoring the sign of n the smallest value of |n| is 2
(2)^2 =4
m^2 -n^2
144-4 = 140
Using these integers 12345789 you put them in 2 groups of 4 coming up with the same summ
If the alternate hypothesis of an experiment is “The true mean height of the giraffes is more than 15 feet” what is the null hypothesis?
Answer: "The true mean height of the giraffes is less than or equal to 15 feet".
Step-by-step explanation:
A hypothesis in a statement that is made about a statistical parameter of a population.
A null hypothesis [tex]H_0[/tex] is usually the hypothesis that is tried to reject by an alternate hypothesis [tex]H_a[/tex]
In this case [tex]H_a[/tex] is:
"The true mean height of the giraffes is more than 15 feet".
Therefore, for this case, the null hypothesis must be:
"The true mean height of the giraffes is less than or equal to 15 feet".