y≥x-2
x+2y⊂4
hoping that your answer
Kia's plant is 8 1/5 inches tall and is growing 2/3 inch each week. Lyric's plant is 10 7/10 inches tall and is growing 1/6 inch each week. Write and solve an equation to find how many weeks it will take for the height of the two plants to be the same.
Equation:
Solution:
Answer:
See below
Step-by-step explanation:
8.2 + 2/3w = 10.7 + 1/6 w
1/2 w = 2.5
w = 5 weeks
What is the equation of the line that passes through (4, -1)
and has a slope of -5?
A y = -5x + 19
B y = -5x + 21
C y = -5x - 19
D y = -5x – 21
Answer:
Step-by-step explanation:
answer: y = -5 + 19
We can use the point-slope formula to find an equation to solve this problem. The point-slope formula states: (y−y1)=m(x−x1)
Where m is the slope and (x1y1) is a point the line passes through.
Susbtituting the slope and values from the point from the problem gives:
(y−−1)=−5(x−4)
(y+1)=−5(x−4)
We can also solve this for the slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
Substitute the slope from the problem for m and the values of the point from the problem for x and y and solve for b:
−1=(−5⋅4)+b
−1=−20+b
20−1=20−20+b
19=0+b
19=b
We can substitute for m and b in the formula to find the equation:
y=−5x+19
A restaurant sells chicken nuggets in 6-piece and 9-piece cartons. in one day they sell a total of 162 nuggets in 23 cartons. how many of each size carton did the restaurant sell?
ABC is a right triangle. Find the length of AD.
A. 12 units
B. 2.83 units
C. 7 units
D. There is not enough information to determine the length of AD.
Answer: A
Step-by-step explanation:
pls help me to answer this
Answers:
Sample Variance = 31.03
Sample Standard Deviation = 5.57
See the table below.
===================================================
Explanation:
M refers to the midpoint of each interval. The midpoint is [tex]M = \frac{a+b}{2}[/tex] where a,b are the left and right endpoints.
For example, [tex]M = \frac{0+4}{2} = \frac{4}{2} = 2[/tex] in the first row.
Multiply the frequency with the midpoint to get the third column. Summing this column of values leads to 4+49+180+153+154 = 540 shown at the bottom of that column.
Divide this sum over the sum of the frequencies (2+7+15+9+7 = 40) and we arrive at [tex]\overline{x} = \frac{540}{40} = 13.5[/tex] which is the sample mean xbar.
--------------------------------------------------------------------------
After we determine xbar, we subtract it from each value of M. Then we square the result to get [tex](M - \overline{x})^2[/tex]. Multiply that with the column f to get the new column [tex]f(M-\overline{x})^2[/tex].
This column is added to arrive at 1210 shown in the table below. Divide this over the sum of the frequencies minus 1. So we divide by n-1 = 40-1 = 39 to get roughly 31.03
This is the sample variance.
The square root of this is sqrt(31.03) = 5.57 and this is the approximate sample standard deviation.
Write a formula for function g in terms of function h.
Answer:
g(x) = h(x + 7) + 5Step-by-step explanation:
Compare the corresponding points, the best is vertices
y = h(x) ⇒ (- 2, - 7)y = g(x) ⇒ (5, - 2)Find the difference of coordinates, the rule of translation right and up
x = 5 - (-2) = 7 y = - 2 - (- 7) = 5The formula of g(x) in therms of h(x) is:
g(x) = h(x + 7) + 5Answer:
g(x) = h(x - 7) + 5
Step-by-step explanation:
Vertex of a parabola
The turning point (stationary point) of the curve.
the minimum point of a parabola that opens upwardsthe maximum point of a parabola that opens downwardsTo find the series of translations that transform the graph of y = h(x) onto y = g(x), compare the vertices of both graphs.
Vertex of h(x) = (-2, -7)
Vertex of g(x) = (5, -2)
Therefore, y = h(x) has been translated 7 units to the right and 5 units up.
Translations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Therefore:
h(x) translated 7 units right = h(x - 7)h(x - 7) translated 5 units up = h(x - 7) + 5Therefore, the formula for g(x) in terms of h(x) is:
g(x) = h(x - 7) + 5
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What is the interest rate if a principal of $572 earns $228.80 in interest in four years?
Answer:
the answer is 10% if it is simple interest you're talking about.
Convert 0.631 to a fraction in simplest form and a percent.
Answer:
63.1%
631/1,000
Step-by-step explanation:
Factor 25x^2-64
(5x+8)(5x-8)
(5x-8)^2
(5x+8)(-5x-8)
(-5x+8)(5x-8)
Answer:
Given Equation
[tex] \bf \: 25 {x}^{2} - 64[/tex]
we have to factorise the given equation .
We will use the following identity here
(a²- b²) = (a + b) ( a - b)Let's factorise it
[tex]\sf \longrightarrow \: 25 {x}^{2} - 64 \\ \\ \\ \sf \longrightarrow \: {5x}^{2} - {8}^{2} \\ \\ \\ \sf \longrightarrow \:(5x + 8)(5x - 8)[/tex]
Therefore,
Required answer is ( 5x+8)(5x-8)So, your answer is (5x+8) ( 5x-8)
Jeffrey is looking at a map of his town to help him get from his school to the library. If 1 inch is equal to 9 miles, and the distance on the map is 1/4
inch, how far is it to the library?
Answer:
2.25 miles
Step-by-step explanation:
1/4 of 9 is 2.25
Answer:
2.25 miles away
Step-by-step explanation:
first make 1/4 a percent
second set up a proportion
then solve the proportion and then you get 2.25 and add a label
Find the volume and surface area of this combined figure.
The volume and surface area of the composite shape are 575.6cm³ and 518.1cm² respectively
How to calculate the volume and surface area of composite shapesComposite shapes are the combination of two or more shapes combined together.
The composite shape given is made up of a hemisphere and a cone
Volume of the composite shape = 2/3πr³ + 1/3πr²h
Volume of the composite shape = 1/3πr²(2r+h)
Volume of the composite shape = 1/3(3.14)(5)²(2(5)+12)
Volume of the composite shape = 1/3(3.14)(5)²(22)
Volume of the composite shape = 575.6cm³
Hence the volume of the composite shape is 575.6cm³
Calculate the surface area
Surface area = πr(r+l) + 3π r²
Surface area = 3.14(5)(13+5) + 3(3.14)(25)
Surface area = 282.6 + 235.5 = 518.1 square cm
Hence the surface area of the composite figure is 518.1 square cm
Let f be the function defined by 1 2 1 1 4 3 2 f x( ) = x − x + x − x 4 3 2 2 . For how many values of x in the open interval (0, 1.565) is the instantaneous rate of change of f equal to the average rate of change of f on the closed interval [0, 1.565] ?
There are three values of x where the instantaneous rate of change of f(x) are equal in the open and closed intervals
How to determine the number of x values?The function is given as:
[tex]f(x) = \frac 14x^4 - \frac 23x^3 + \frac 12x^2 - \frac 12x[/tex]
Calculate f(0)
[tex]f(0) = \frac 14 * 0^4 - \frac 23 * 0^3 + \frac 12 *0^2 - \frac 12 * 0[/tex]
[tex]f(0) = 0[/tex]
Calculate f(1.565)
[tex]f(1.565) = \frac 14 * 1.565^4 - \frac 23 * 1.565^3 + \frac 12 *1.565^2 - \frac 12 * 1.565[/tex]
[tex]f(1.565) = -0.613[/tex]
The average rate of change is then calculated using:
[tex]m = \frac{f(1.565) - f(0)}{1.565 - 0}[/tex]
This gives
[tex]m = \frac{-0.613 - 0}{1.565 - 0}[/tex]
[tex]m = -0.392[/tex]
Differentiate the function f(x)
[tex]f'(x) = x^3 - 2x^2 + x - \frac 12[/tex]
Set f'(x) to [tex]m = -0.392[/tex]
[tex]x^3 - 2x^2 + x - \frac 12 = -0.392[/tex]
From the graph of the above equation (see attachment), we have three values of x at:
x = 0.1492, x = 0.5614 and x = 1.2894
Hence, there are three values of x in the open interval (0,1.565)
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find the area with 4cm, 8cm, 16cm
Answer:
u cant find the area if you dont add a picture or say if the cm is the width or the lenth.
L BOZO
Step-by-step explanation:
Answer:
PLEASE ADD PICTURE OR NOT ANSWER!
Step-by-step explanation:
We don’t know the problem. Pls apply it.
For each interval on the table indicate whether is increasing decreasing or neither
The intervals indicated on the graph are:
-7 < x < -3, -3 < x < -1, & 1 < x < 3 are increasing
-1 < x < 1, & 3 < x < 5 are decreasing
5 < x < 7 is neither
When does an Interval of a Function Decrease or Increase?The interval of a function is increasing when the line slopes upward to the right along the interval. This means that the function value would increase as the input values decrease within the given interval.
On the other hand, the interval decreases when the line of the function slopes downwards within the interval. This implies that as the function value decreases, the input values increase within the given interval.
Therefore, from the graph given, we can conclude that:
-7 < x < -3: increasing
-3 < x < -1: increasing
-1 < x < 1: decreasing
1 < x < 3: increasing
3 < x < 5: decreasing
5 < x < 7: neither
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Find the value of Y. Pleasee hellpp meeee
Answer:
y=30
Step-by-step explanation:
it equals 30 because 2y+y=90. So now you know 3y=90. divide both sides by 3 so you can isolate the y. 90/3=30.
I have 90 because of the right angle. That is a 90-degree angle.
A line has a rise of 3 and a run of 12. What is the slope?
O 1/3
O 4
O 1/4
Pls help me
What is the volume of this figure?
Enter your answer in the box.
Answer:
Step-by-step explanation:
Volume of the figure = Base area * height
Base area:
Base area = area of trpezium + area of triangle
Trapezium:
a, b area the length of parallel sides and h is the height of trapezium.
a = 8 m ; b = 5 m & h = 3 m
[tex]\boxed{ \text{ Area of trapezium = $\dfrac{(a +b)*h}{2} $}}[/tex]
[tex]=\dfrac{(8+5)*3}{2}\\\\\\=\dfrac{13*3}{2}\\\\\\= \dfrac{39}{2}\\\\\\= 19.5 \ m^{2}[/tex]
Triangle:
height = 4 m & base = 8 m
[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base*height$}}[/tex]
[tex]=\dfrac{1}{2}*8*4\\\\\\= 4*4\\\\= 16 \ m^{2}[/tex]
Base area = 19.5 + 16
= 35.5 m²
Volume of the figure = Base area * height
= 35.5 * 14
= 497 m³
g(n)=−50−15ng, left parenthesis, n, right parenthesis, equals, minus, 50, minus, 15, n Complete the recursive formula of g(n)g(n)g, left parenthesis, n, right parenthesis. g(1)=g(1)=g, left parenthesis, 1, right parenthesis, equals
Answer:
g(n) = g(n-1) -15
g(1) = -65
Step-by-step explanation:
We can find the recursive formula from the explicit formula for this arithmetic sequence by substituting 1 and (n+1) for n in the explicit formula.
__
g(n+1) = -50 -15(n+1) = (-50 -15n) -15 . . . . . find g(n+1)
g(n+1) = g(n) -15
and ...
g(1) = -50 -15(1) = -65
Then the recursive formula can ge written as ...
g(n) = g(n-1) -15
g(1) = -65
_____
Additional comment
We found g(n+1) = g(n) -15. Substituting n-1 for n in this formula puts it in the form we need for answering the question:
g((n-1)+1) = g(n-1) -15
g(n) = g(n -1) -15
Either of these forms tells you how to get the next term from the previous one.
Answer:
g(n) = g(n-1) -15
g(1) = -65
Step-by-step explanation:
answer on khan
six bags of flour and 4 bags of sugar weighs 64 pounds 8 bags of flour weigh 64. all bags of flour weigh the same and all bags of sugar weigh the same. what is the ratio of one bag of flour to one bag of sugar ?
Answer:
the ratio of one bag of flour is 8
Which number is a rational number?
13
549
16
√34
Answer:
all numbers except √34
Step-by-step explanation:
the top three are whole numbers and therefore rational
Zaire is making granola bars. For one batch of bars, the recipe calls for 1 2/3 cups of rolled oats and ½ cup of raisins. What is the combined amount, in cups of rolled oats and raisins, used in one batch of granola bars?
Answer:
13/6
No explanation sorry :(
Estimate
10
12
−
3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.
Answer:
Step-by-step explanation:
Pls give brainlest if right.
10/20-3/6 ?
Given the speeds of each runner below, determine who runs the fastest.
\text{Frank runs 9 feet per second.}
Frank runs 9 feet per second.
\text{Tony runs 299 feet in 34 seconds.}
Tony runs 299 feet in 34 seconds.
\text{Zach runs 1 mile in 396 seconds.}
Zach runs 1 mile in 396 seconds.
\text{Will runs 675 feet in 1 minute.}
Will runs 675 feet in 1 minute.
Zach runs with 14.31 feet per second speed and faster than other runners.
What is Speed?Speed is measured as the ratio of distance to the time in which the distance was covered
Given that Frank runs 9 feet per second.
Speed=Distance /time
=9 feet/ 1 second
=9 feet per second.
Tony runs 299 feet in 34 seconds
Speed=299/34
=8.794 feet per second.
Zach runs 1 mile in 396 seconds.
We know that 1 mile =5280 feet
Speed=5280/369
=14.31 feet per second.
Will runs 675 feet in 1 minute
1 minute is 60 seconds
Speed=675/60
=11.25 feet per second.
Hence, Zach runs with 14.31 feet per second speed and faster than other runners.
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Suppose n represents the number of multiple-choice questions answered correctly on a 20-question test, The function f(n) represents the points earned on the test, where each question is worth 5 points with no partial credit.
a) Define the function f(n).
b) What is an appropriate domain?
c) What is the range?
Answer:
A)Let's let M = the number of Multiple choice problems and
N = the number of essay questions.
B)Also, since there are 36 questions altogether, we can say that
M + N = 36
So, therefore
M = 36 - N
Step-by-step explanation:
Hope this helped I couldn’t get C very confusing.
Help me please I would really appreciate it
Adjacent angles in parallelograms are supplementary angles thus :
[tex]x + 130 = 180[/tex]
[tex]x = 180 - 130[/tex]
[tex]x = 50[/tex]
pls help due today :( 26 points promise
How do solve a system of equations
Answer:
you have 3 way which one you want comparison supstitution or the third one
PLEASE HELP Solve the right triangle.
Round your answers to the nearest tenth.
Genevieve needs to buy some uniform shirts for her new job. Store A sells uniform shirts for $12 each. Store B sells uniform shirts for $14. 50 each. Genevieve has a coupon for $10 off her purchase at Store A and another coupon for $20 off her purchase at Store B.
Write an
equation that can be used to determine s, the number of uniform shirts Genevieve can buy to
make the total purchase price the same for each store.
Therefore, the resulting expression for the price Genevieve will pay
will be: p - 100 - 3/20p
-lukelaws
Determine the volume of a rectangular prism if
length = 5 inches
width = 4 inches
height = 4 inches
Answer:
80 inches cubed
Step-by-step explanation:
V=bh
b= 5 x4 h=4
5 x 4 x 4 = 80