Answer:
y < 2x +6
Step-by-step explanation:
You want an inequality for the given graph.
What to doHere are some steps you can follow, in no particular order.
identify the type of boundary line: solid or dashed (dashed)locate the shading: above the line or below it (below)locate the y-intercept (+6)identify the slope (rise/run = 4/2 = 2)When you have this information, you can write the inequality in slope-intercept form.
Using the informationWhen the boundary line is dashed, the inequality symbol you use will not include the "or equal to" case. It will be one of < or >.
When the shading is below the line, the values of y that satisfy the inequality will be less than (<) those on the boundary line. If shading is above, the y-values will be greater than (>) those on the line.
The slope and intercept go into the inequality like this:
y < mx + b . . . . . . where m is the slope, and b is the y-intercept
For a dashed line, shaded below, with m=2 and b=6, the inequality is ...
y < 2x +6
__
Additional comment
There are two points identified on the boundary line: (-2, 2) and (0, 6). The slope formula can be used to find the slope:
m = (y2 -y1)/(x2 -x1)
m = (6 -2)/(0 -(-2)) = 4/2 = 2
The point (0, 6) on the y-axis is the y-intercept. The y-value there is 6.
<95141404393>
Find the value of X.
Answer:
x = 36
Step-by-step explanation:
Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.
RelationThe product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.
24² = 12(12 +x)
2·24 = 12 +x . . . . . . . divide by 12
36 = x . . . . . . . . . subtract 12
<95141404393>
If the base of the sale is 12 feet long and the height is 16 feet what is the value of X?
Given data:
Base of the sale = 12 feet
Height = 16 feet
Finfing the value of x,
The triangle is a right angle triangle , so by using the Pythagorean Theorem
\(\text{Hypotenues}^2=Perepndicular^2+Base^2\)Here, Hypotenues = x
Perpendicular = 16
Base = 12
\(\begin{gathered} x^2=16^2+12^2 \\ x^2=256+144 \\ x^2=400 \end{gathered}\)\(\begin{gathered} x=\sqrt[]{400} \\ x=20 \end{gathered}\)Thus, the value of x is 20
14 + (-12)-8-5
FAST PLEASE ALSO PLEASE SHOW THE STEPS!!!
Answer:
-11
Step-by-step explanation:
start with PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)
so you would first start with 14 + (-12) so the + and - become a negative so it becomes 14 - 12 which is 2
so then do -8-5 which is -13
so then you combine them and get 2-13 which is -11
Nia is training for a marathon. Her average speed during training so far is 7.1 miles per hour. if she runs ar that rate for training run that is 1 hour and 24 minutes how long will nia run?
Answer:
about 10 my boy
Step-by-step explanation:
big big big
Select all of the following tables which represent y as a function of and are one-to-
one.
Answer:
Option 3
Step-by-step explanation:
Each value of x maps onto one value of y and vice versa.
7. Write an equation and solve. Round to the nearest hundredth where necessary.
19 is what percent of 40?
Answer:
47.5%
Step-by-step explanation:
Please please look at the picture and answer the question thank you for your help
Answer:
20 for both
Step-by-step explanation:
hope this helps
I have to add this problem
5/8+2/8
giving 10 points:)
The addition of the given fraction expression is 7/8.
In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.
When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.
In this case, both fractions have a denominator of 8, so we can add their numerators:
5/8 + 2/8 = (5 + 2)/8 = 7/8
Thus, the sum of 5/8 and 2/8 is 7/8.
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Please help I’ll mark you as brainliest if correct!
Answer:
4020
Step-by-step explanation:
This is an arithmetic series with first term 60 and common difference 40.
\(60+40(n-1) \\ \\ =60+40n-40 \\ \\ =40n+20\)
So, the 100th term is 40(100)+20=4000+20=4020.
Answer: 4020
Step-by-step explanation:
t=term. v=value
term 1=60
term 2=100
term 2-term 1=
100-60=40
v=40t+b
100=40(2)+b
100=80+b
b=20
v=40t+20
v=40(100)+20
v=4000+20
v=4020
Suppose you deposit 1000 $ in a savings account that pays interest at an annual rate of 4%. If no money is added or withdrawn from the account, answer the following questions.
How much will be in the account after 3 years?
b. How much will be in the account after 16 years?
c. How many years will it take for the account to contain 1,500 $?
d. How many years will it take for the account to contain 2000$?
Some one please helppppppp mee
Answer:
a. 1124.86
b. 1872.98
c. 10.35
d. 17.7
Step-by-step explanation:
use the formula A(t) = a (1+r)^t
What are the 2  formulas to find the area of a circle
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
What is the area of a circle?The area of a circle is given by the formula A = πr², where r is the radius of the circle.
According to the given information:The area of a circle can be found using either of the following formulas:
\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.
\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.
Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
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AC is 9.1 centimeters and BC is 4.2 centimeters. Find AB
Answer:
AB = 4.9cm
Step-by-step explanation:
We know
AC is 9.1 centimeters, and BC is 4.2 centimeters.
Find AB
We take
9.1 - 4.2 = 4.9cm
So, AB = 4.9cm
Can someone pls explain
163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units
164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.
165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.
166. Missing side = 29 ft.
What is the Pythagorean Theorem?The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.
163. The distance between A(-5, 6) and B(5, -5):
AB = √[(5−(−5))² + (−5−6)²]
AB = √221
AB ≈ 14.9 units
164. Apply the Pythagorean theorem to find the diagonal:
Diagonal = √(15² + 15²) ≈ 21.2 ft.
165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:
c = √676 = 26 units.
166. Missing side = √(20² + 21²) = 29 ft.
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The weight (W kg) of a decaying radio active substance after n years is given by W= Wo(1/2)^n/100, where Wo kg is the initial weight of the substance. 1. Find the number of years for the radioactive substance to decay to half of its initial weight.
We have the equation:
\(W=W_0(\frac{1}{2})^{\frac{n}{100}}\)And we want to find the value n, correspondign to the number of years necessary in order to the substance to decay in half.
Let's say that we have 1 Kg of the substance, this is Wo, the initial weight. Since we want to find the the decay of half the substance we use W = 1/2
And write:
\(\frac{1}{2}=1\cdot(\frac{1}{2})^{\frac{n}{100}}\)Now we can use a property of logarithms:
\(\ln (a^b)=b\ln (a)\)Thus applying natural log on both sides:
\(\ln (\frac{1}{2})=\ln (\frac{1}{2}^{\frac{n}{100}})\)By the property:
\(\ln (\frac{1}{2})=\frac{n}{100}\ln (\frac{1}{2}^{})\)We can divide on both sides by ln(1/2):
\(\begin{gathered} 1=\frac{n}{100} \\ n=100 \end{gathered}\)The number of years for the radioactive substance to decay to half its initial weigh are 100 years.
The step to get rid of the ln(1/2) is:
\(\begin{gathered} \ln (\frac{1}{2})=\frac{n}{100}\ln (\frac{1}{2}^{}) \\ \frac{\ln (\frac{1}{2})}{\ln (\frac{1}{2})}=\frac{n}{100}\frac{\ln (\frac{1}{2}^{})}{\ln (\frac{1}{2})} \\ 1=\frac{n}{100}\cdot1 \\ 1=\frac{n}{100} \end{gathered}\)
"Individuals, cultures, societies, and the world change through times of conflict and cooperation."
The statement above exemplifies the era of global expansion and encounter. What other word also reflects this theme?
Technology
Trade
Monopoly
Hegemony
Here are the shopping times (in minutes) of ten shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 5.)
The frequency which is to filled in the table is 1, 4, 2 and 4.
Given that;
All shopping time of ten shopkeeper:
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.
Since, Shopping time is given as ,
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
And, Intervals for which frequency is given is ,
18 to 22, 23 to 27, 28 to 32, 33 to 37.
Hence, WE get;
Numbers in the range 18 to 22 = 18 therefore 1
Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4
Numbers in the range 28 to 32 = 29, 28 therefore 2
Numbers in the range 33 to 37 = 36, 33, 37, therefore 3
Hence, the frequency which is to filled are 1, 4, 2 and 4.
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if the risk-free rate is 5 percent and the risk premium is 7 percent. what is the required return?
pls help me i can’t fail
Answer:
$330
Step-by-step explanation:
\(\frac{24}{198} =\frac{40}{x}\)
Cross multiply:
24x= 198(40)
to get x=330
10.8.8 Check Your Understanding
Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to
park her car. Each night, the hotel charged d dollars and $17.20 for parking. Which equation represents the total
amount, in dollars, Allison paid for the three nights?
A) d+3(17.20) = 782.07
(B) 3d+17.20 = 782.07
C) 3(d-17.20) = 782.07
D) 3(d+17.20) = 782.07
We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D
Which equation shows the total charge?We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.
If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.
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I think it’s 40%, am I correct?
Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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Define a function f that determines the amount that Nicole pays (in dollars) for gas to drive m miles, given that Nicole's car gets 25 miles per gallon and gas costs $3.20 per gallon.
Answer:
f(m) = 0.128m
Step-by-step explanation:
cost per mile = (cost per gallon)/(miles per gallon) = $3.20/25 = $0.128
Then the desired function is ...
f(m) = 0.128m
Help ASAP if u can ?
Answer:
7 and -8
Step-by-step explanation:
A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).
I need some help please out of mec hhu
To graph the inequality we need to solve it first:
\(\begin{gathered} -7x-7>0\text{ or -2x+5}\leq1 \\ -7>7x\text{ or 5-1}\leq2x \\ -\frac{7}{7}>x\text{ or }\frac{4}{2}\leq x \\ -1>x\text{ or 2}\leq x \end{gathered}\)This means that:
\(x<-1\text{ or x}\ge2\)In interval, notation this is written as:
\((-\infty,-1)\cup\lbrack2,\infty)\)The graph of the inequality is:
PLS HELP me with math
Answer:
c
Step-by-step explanation:
A piecewise-defined function is properly graphed when the pieces of the definition match the pieces of the graph. To identify the function, match the pieces of the function with the pieces of the graph.
__
domain piecesThe domain is the horizontal extent of the graph. The discontinuity in the graph at x=2 tells you the domain of the function will be divided into 2 parts.
The solid dot on the part of the graph that extends to the left tells you that x=2 and points to its left are one part of the domain: x ≤ 2.
The open dot on the part of the graph that extends to the right tells you that x=2 is not part of the domain for that section. It will be x > 2.
Recognizing that these are the domain definitions already eliminates choices B and D.
function definitionsThe answer choices (or your examination of the graph) tell you that the two lines are described by ...
y = x+2y = x+1The y-intercept for the line to the left of x=2 is clearly at y=2, so we now know the match-up between domains and function definitions is ...
\(y=\begin{cases}x+2&x\le2\\x+1&x > 2\end{cases}\)
This eliminates choice A.
The correct answer choice is C:
\(\boxed{\textsf{c.}\quad y=\begin{cases}x+1&x > 2\\x+2&x\le2\end{cases}}\)
Please help meee!!!!!!
Answer:
A. Right triangle
B. Scalene triangle
C. Equilateral triangle
D. Scalene
Step-by-step explanation:
Step-by-step explanation:
Right angle TriangleEquilateral TriangleEquilateral TriangleScalene Trianglefor an Ap T1 =2 Tn =41 Sn = 860 then find n
To find:-
n
Solution:-
Sn =860
T1 = 2
Tn = 41 , Tn = [a +( n-1 )d ]
n =?
SN = n/2 (2a + {n-1}d ) = 860
n/2( 2× 2+ (n-1)d ) = 860
n/2 (tn+t1) = 860
n/2 (41 +2) = 860
n/2 (43) = 860
n = (860 ×2 )/43
n = 40
Hope it helps you!!
The recursive formula, an = an-1 - 12 with a0 = 84 describes the amount of water left, in gallons, in a bathtub n after the drain stopper was pulled. Find a5, he amount of water left in the tub after 5 minutes.
_________
The amount of water left in the tub after 5 minutes is; 24 gallons
How to solve recursive formula?The given recursive formula is expressed as;
aₙ = aₙ ₋ ₁ - 12
We are told that a₀ represents the amount of water left, in gallons, in a bathtub n after the drain stopper was pulled.
Thus, when n = 1, we have;
a₁ = a₁ ₋ ₁ - 12
a₁ = a₀ - 12
a₁ = 84 - 12
a₁ = 72
Then;
a₂ = a₁ - 12
a₂ = 72 - 12
a₂ = 60
It will seem that it follows a sequence pattern of;
aₙ = 84 - 12n
Thus;
a₅ = 84 - 12(5)
a₅ = 24 gallons
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PLEASE HELP................
1. The scale factor here in the dilation is 4/3.
2. Yes, dilation occurred on the coordinate plane below. The scale factor for the dilation is -4/3.
What is dilation?During the process of dilatation, an object must be reduced in size or changed. It is a transformation that uses the given scale factor to shrink or expand the objects. The image is the new figure that forms as a result of dilatation, whereas the pre-image is the original figure. There are two kinds of dilation:
A rise in an object's size is referred to as expansion.
Contraction is the term used for a reduction in size.
Here in the question,
The coordinates of the point B change from (-3,6) to (-4,8).
The scale factor here is -4/-3=4 or 8/6=4/3.
Now, when the dilation happens below the plane, the coordinates will be (x,-y)
So, the dilation factor will be -4/3.
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There are 120 students and 23 teachers going on a class trip. The buses used for the class trip hold at most 45 passengers. How many buses will be needed?
Answer: 4 busses if each bus only hold 45 passengers at most.
Step-by-step explanation:
120 students
23 teachers=143 people
143 divided by 3 busses is only 47 so 3
busses wouldn’t be enough