Answers
Answer:-4<x<=5
Step-by-step explanation:
The white dot is above -4 and the filled in dot is above 5. Put that together plus the correct inequality signs and you get -4<x<=5
Answer: [tex]-4 < x\leq 5[/tex]
Step-by-step explanation:
The inequality ends at 4 and it is colored white so x must be greater than -4 therefore the first expression is x > -4 or -4 < x.
The other side of the inequality ends at 5 and it's colored black so x is less than or equal to 5. Therefore the second expression is [tex]x\leq 5[/tex].
if we merge the two equations together than we would get [tex]-4 < x\leq 5[/tex].
I hope that helped you.
:)
Related Questions
how to find the rate of change of a table
Answers
Answer:
To find the rate of change in a table, the same process applies:
Step-by-step explanation:
1. Find the coordinates of the given points. It's optional to label them.
2. Find the difference between the output values.
3. Find the difference between the input values.
4. Calculate the ratio between the change in y to the change in x: ΔyΔx.
Caroline invested $900 in an account paying an interest rate of 8\tfrac{7}{8}8 8 7 % compounded continuously. Jaxon invested $900 in an account paying an interest rate of 8\tfrac{5}{8}8 8 5 % compounded daily. After 8 years, how much more money would Caroline have in her account than Jaxon, ?
Answers
Caroline would have $36 more money in her account than Jaxon.
From the question, we have
Caroline amount,
A = P* e^rt
= 900*e^(71*8)/800
= 900*e^(71/100)
=$1830.59
Jaxon amount,
A = P* e^rt
= 900*e^(69*8)/800
= 900*e^(69/100)
=$1794.34
Difference = $1830.59 - $1794.34
= $36.25
= $36 ( to the nearest dollar)
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
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Vicky and John share some sweets in the ratio 2:7. If Vicky ends up with 12 sweets, how many will John have?
Answers
By using ratio, it is calculated that John have 42 sweets.
What is ratio?
Ratio between two quantity tells us how much bigger is one quantity as compared to the other quantity.
The first part of the ratio is called antecedent and the second part of the ratio is called consequent
Vicky and John share some sweets in the ratio 2:7
Let Vick shares 2x sweets and John shares 7x sweets
Vicky ends up with 12 sweets
By the problem,
[tex]2x = 12\\x = \frac{12}{2}\\x = 6[/tex]
Number of sweets John have = [tex]7 \times 6 = 42[/tex]
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Lamar will run at most 37 miles this week. So far, he has run 22 miles. What are the possible numbers of additional miles he will run?
Answers
The possible numbers of additional miles that Lamar can run are all the solutions of the inequality:
0 ≤ x ≤ 15
What are the possible numbers of additional miles?We know that Lamar will run at most 37 miles this week, and he already did run 22 miles, then the (maximum) distance left this week is:
D = 37mi - 22mi = 15mi
So he can run at most 15 miles, this means that he can run any distance between 0 miles and 15 miles by the end of the week.
So, if we define x as the distance that he will run on the week (in miles), then we can write the inequality:
0 ≤ x ≤ 15
so the possible numbers of additional miles he will run on this week are all the values of x that are a solution for the above inequality.
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a wire is to be cut into two pieces. one piece will be bent into a square, and the other piece will be bent into a circle. if the total area enclosed by the two pieces is to be 144 m2, what is the minimum length of wire that can be used?
Answers
A wire is cut into two pieces, one piece bent into square and other piece will be bent into circle. Therefore, the minimum length of wire that can be used is 43 m.
The relationships between the radius of a circle and its circumference and area are :
C = 2πr
A = πr²
The relationships between the side length of a square and its perimeter and area are :
P = 4s
A = s²
So, the length of wire will be
W= C + P
W = 2πr + 4s
Subject to the constraint that the sum of areas is 144 m²:
πr² + s² = 144
Using the method of Lagrange multipliers to find the extremes of wire length, we want to set the partial derivatives of the Lagrangian (L) to zero.
L = 2πr + 4s + λ(πr² +s² -144)
∂L/∂r = 0 = 2π +2πλr ------------------------------- (1)
∂L/∂s = 0 = 4 +2λs ------------------------------- (2)
∂L/∂λ = 0 = πr² +s² -144 -------------------------------- (3)
Solving for λ, we find,
1 +λr = 0 ---------------------------- (4)
⇒ λ = -1/r ----------------------------- (5)
Substituting into equation (2), we get,
4 + 2(-1/r)s = 4
⇒ s/r = 2 -------------------------------- (6)
This tells us the maximum wire length is that which makes the circle diameter equal to the side of the square.
Substituting the relation s=2r into the area constraint, we find,
πr² +(2r)² =144
⇒ r = √(144/(π+4))
⇒ r= 12/√(π+4) ≈ 2.068965 . . . m
∴ The minimum wire length will be required when the entire area is enclosed by the circle. In that case,
πr² = 144
⇒ r = √(144/π)
and, C = 2πr
= 2π√(144/π)
= 24√π ≈42.5388 . . m
rounding up the minimum value 42.5388... in 43.
∴ The minimum wire length will be required is 43 m
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(a) The amount of pure acid in 40 oz of 20% acid solution is oz.
(Type an integer or a decimal.)
Answers
neverminding the jumbled wording
how much is 20% of 40?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 40}}{\left( \cfrac{20}{100} \right)40}\implies 8[/tex]
LESSON 8 SESSION 2
Name
Practice Showing That the
Slope of a Line Is Constant
> Study the Example showing that the slope of a
line is constant. Then solve problems 1-5.
Example
Cece draws a graph representing her
family's car trip to the beach. She wants
to show her father that their gas
mileage in miles per gallon was the
same for the entire trip. Cece chose
three points on the line and drew
vertical line segments from the points to
the x-axis. How can she use these
segments to prove that the gas mileage
was constant for the trip?
Distance (mi)
250
150
100
30
0
(S. 155)
(1,31)
8 10
What was the gas mileage for the trip in the Example?
6
Gasoline Used (gal)
The vertical line segments create three
similar right triangles. Because the
triangles are similar, the quotient of the length of the vertical side to the length
of the horizontal side is the same for each triangle. These quotients are slopes
between (0, 0) and the points Cece chose. Because Cece could have chosen any
points on the line to make the similar triangles, the slope is constant for the
whole line. So, the gas mileage is constant for the whole trip
For the graph in the Example, find the slope between the origin and each of the
points Cece chose.
Vocabul
slope
for any two
a line, the
shange
change
of
Answers
The slope of origin (0, 0) with (1, 31); (5, 155), and (9, 279) is 31
The slope of a line:The slope of a line will indicate the direction and steepness. It is also defined as the change in the y-coordinate for a corresponding change in the x-coordinate.
Slope of a line with given points (x₁, y₁) and (x₂, y₂) is
Slope, m = (y₂ -y₁) /(x₂-x₁)Here we have
Points (1, 31) (5, 155) and (9, 279)
We need to find slopes between two points
As we know the formula for slope with given points is
Slope, m = (y₂ -y₁) /(x₂-x₁)
Here coordinates of the origin are (0, 0)
The slope between (0, 0) and (1, 31)
=> m = (31 - 0) /(1 - 0) = 31/1 = 31
The slope between (0, 0) and (5, 155)
=> m = (155 - 0) /(5- 0) = 155/5 = 31
The slope between (0, 0) and (9, 279)
=> m = (279 - 0) /(9 - 0) = 279/9 = 31
Therefore,
The slope of origin (0, 0) with (1, 31); (5, 155), and (9, 279) is 31
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the mean age for all foothill college students for a recent fall term was 33.2. the population standard deviation has been pretty consistent at 15. suppose that twenty-five winter students were randomly selected. the mean age for the sample was 30.4. we are interested in the true mean age for winter foothill college students. let x
Answers
Lower Limit = 24.52
Upper Limit = 36.28
Error Bound = 5.88
Lower Limit: - The Lower Limit for every class is the smallest value in that class. For example: 5 is a lower lower limit for the set S= { 5,8,42,34}
Upper Limit: - A value that is greater than or equal to every element of a set of data. For example: - { 3,5,11,20,22} is a upper bound of 22.
Given that,
Population Mean,μ = 33.2
sample Mean, χ (x bar) = 30.4
sample Size, n = 25
α (Alpha) = 0.05
Population standard deviation,σ = 15
95% confidence interval:
μ ± z critical σ / √n
Putting the values, we get,
z critical at α0.05 = ± 1.96
30.4 ±1.96( 15/√25) = 30.4 ± 5.88 = (24.52,36.28)
a) Lower Limit = 24.52
b) Upper Limit = 36.28
c) Error Bound =
Margin of Error = z critical × σ /√n
= 1.96 × 15/√25
= 1.96 × 15/5
= 5.88
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The tax that increases the price of an item or service is called
tax.
Answers
Answer:
also called a tariff.
Step-by-step explanation:
Please give the brainliest.
help! ASAP!!!!!!! 4 points if you help!!!
Answers
Answer:
I believe it would be 300 dollars per week, I hope this was right :)
Step-by-step explanation:
.4x750=300
50 Points pls help!
Question: Fred drew the footprint of a stage he was planning to build for his band on a coordinate plane. He decided he wanted to make it smaller because he wanted to make sure it fit at every venue.
Please help me solve letter A and B :)
Answers
Answer:
A) Picture added,B) 26 units.=========================
Part AThe smaller figure is added, considering the coordinates of the image follow the rule:
(x, y) → (0.5x, 0.5y)Smaller stage is in blue. See attached
Part BSince each side is half the original, the perimeter of the image is half the larger one:
P = 52/2 = 26 unitsPut the following equation of a line into slope-intercept form, simplifying all fractions. 4x−3y= −21
Answers
Answer:
y=4/3x +7
Step-by-step explanation:
4x - 3y = -21
Move 4x to the other side
-3y = -21 -4x
Next divide the other side by -3
y= 7 +4/3x
Move numbers around
y = 4/3x + 7
when the british ship gaspee ran aground in rhode island, the local population: question 23 options: 1) burned it. 2) rescued its crew. 3) attacked it. 4) pillaged it. 5) claimed it.
Answers
Using theories of Rhode island ,we got that when the British ship Gaspee ran a ground in Rhode island, the local population 1) burned it.
On June 9, Gaspee gave chase to the packet ship Hannah, but the Gaspee ran aground in shallow water on the northwestern side of bay on what is now Gaspee Point. Her crew were unable to free her and the Dudingston decided to wait for the high tide, which would possibly set the vessel afloat. Before that could happen, however, the band of Providence men led by John Brown decided to act on a "opportunity offered of putting an end to the trouble and the vexation she daily caused." They rowed out to the ship and boarded at the break of dawn on June 10.
Hence, when the british ship gaspee ran aground in rhode island, the local population 1) burned it.
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Alisa can work at most 30 hours next week, but she needs to earn at least $240. Her lawn mowing job pays $9 an hour, and her coaching job pays $15 an hour. Identify the variables, and then write a system of equations to represent the constraints on Alisa's work time and income.
Answers
The system of equation for the following conditions contains equation the equations: x + y ≤ 30 and 9x + 15y 240.
What is system of equation?
A system of equations in algebra consists of two or more equations and looks for common answers to the equations. "A set of equations satisfied by the same set of variables is called a system of linear equations."
Let the hours Alisa work for lawn mowing job is "x" hours and for coaching job is "y" hours.
As given in the question, Alisa can work at most 30 hours.
So the total working hours should be equal or less that 30 hours.
Therefore, the first equation can be written as:
x + y ≤ 30
And it is also given that, she needs to earn at least $240, while Her lawn mowing job pays $9 an hour, and her coaching job pays $15 for an hour.
So, Total earning = per hour earning x total hour
lawn mowing job earning = 9(x)
coaching job earning = 15(y)
Therefore, the second equation can be written as:
9x + 15y 240
Hence, the system of equation is: x + y ≤ 30 and 9x + 15y 240
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If f(x) = x - 6 and g(x) = -2x + 4, what is f(x) times g(x)?
A.) -2x^2 - 24x + 16
B.) -2x^2 + 16x - 24
C.) -2x^2 + 16x + 16
D.) -2x^2 + 14x - 24
Answers
The product of f(x) and g(x) is -2x² +16x -24.
What is a function?A function is a relation such that there is only one unique output for every input.
Given that, the functions, f(x) = x-6 and g(x) = -2x + 4.
The value of f(x) × g(x) is,
f(x) × g(x)
= (x-6)(-2x+4)
= -2x²+4x + 12x -24
= -2x² +16x -24
Hence, the product of f(x) and g(x) is -2x² +16x -24.
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What is the sum of (3x + 4) + (9x – 10)?
Answers
Answer:
6(2x - 1)
Step-by-step explanation:
Just look up the answer on the calculator
helpppppppppppppppppppppppppp asapppppppppppppppppppppppppppppppp
Answers
how is random error different from systematic error? provide an example that illustrates this difference.
Answers
Systematic errors are consistently in the same direction
In contrast , random errors produce different values in random directions
Random error causes a slight difference of one measurement to from the next. It is quite unpredictable in it's variation during an experiment.
Systematic error always affects measurements by the same proportion, provided that a reading is taken the same way each time. It is predictable
An example that illustrates this difference are
Systematic errors are consistently in the same direction
for example they are always 50g , 1% or 99 mm too large or too small
In contrast , random errors produce different values in random directions
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QUESTION 4/10 HELP ASAPP
Answers
Answer:
Left bottom graph is the correct one.
Answer: The bottom left graph
Step-by-step explanation: The top two are decreasing, so you can rule those answers out. The bottom right one is increasing by more than 4, so that wouldn’t be the answer either. That leaves you with one option which fits the description of the graph.
Si un bolso costaba$40.000 y tiene un descuento de un 10%¿cual es el precio final del bolso?
Answers
El precio final, esto es, el precio con descuento, del bolso es igual a $ 36.000.
¿Cómo calcular el precio final del bolso?
En este problema debemos determinar el precio final de un bolso (C') adquirido por un cliente con descuento, igual al precio original (C) menos el descuento, descrito en la siguiente fórmula:
C' = C · (1 + r / 100)
Donde r es la tasa de descuento. Nótese que existe descuento para 0 < r < 100.
Si sabemos que C = 40.000 y r = - 10, entonces el precio final del bolso es:
C' = 40.000 · (1 - 10 / 100)
C' = 36.000
El precio final del bolso es igual a $ 36.000.
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On the first part of 550-kilometer trip a salesperson travels 4 hours and 15 minutes at an average speed of 100kilo meters per hour. The salesperson needs to arrive at the destination in another hour and 20 minutes. Find the average speed (in km/h) required for the remainder of the trip.
Answers
Answer:
you will need to go 80 km per hr
Step-by-step explanation:
-2f-3.7 < 2.3 find inequality
Answers
The inequality results to f > -3.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
-2f-3.7 < 2.3
Now, solving the inequality
Add 3.7 both side
-2f-3.7 + 3.7 < 2.3 + 3.7
-2f< 6
Divide both side by 2.
-f< 3
f> -3
Hence, the inequality results to f > -3.
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What is the remainder when the function, f(x)=x²-2x² -5x+16, is divided by (x+3)
O-32
O-14
O 10
022
Answers
Answer:
14/x+3
Step-by-step explanation:
Fractions and Decimals
Write each fraction as a decimal.
4. //
2/5
Answers
2/5 fraction as a decimal is 0.4.
Any number that is expressed as a fraction has two components, the numerator and the denominator. Typically, we divide the numerator by the denominator to convert a fractional number to decimal form. The formula p/q, where q=0, is used to denote fractions. While the decimal numbers, such as 7.575, are created by joining the entire number and fractional parts with a decimal point.
There are two methods to convert fraction to decimal which are given below:
Long division methodBy converting the denominator of the fraction into a power of 10For 2/5
We will divide them as mentioned above,
2/5 = 0.4
Hence, 2/5 is equal to 0.4 in decimal form.
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is placed. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Simplify by expressing fractional exponents instead of radicals.
8√x²y⁴
Answers
The expression can be written without negative exponents as 64xy²
Simplification of ExponentsExponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself. For example, 6 is multiplied by itself 4 times, i.e. 6 × 6 × 6 × 6. This can be written as 6⁴. Here, 4 is the exponent and 6 is the base.
Simplifying exponents is a method of simplifying the algebraic expressions involving exponents into a less complex form in a way that they cannot further be reduced. There are methods in algebra for simplifying exponents with different and same bases that we can use.
Steps to solving basic problems like this are;
Step 1
remove parentheses by multiplying factors.
Step 2
use exponent rules to remove parentheses in terms with exponents.
Step 3
combine like terms by adding coefficients.
Step 4
combine the constants.
In this case, we have an expression;
8√x²y⁴ which can be rewritten without using the square.
8√x²y⁴ = 64xy²
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The ratio of words missed to correct on Marcy’s test was 1:4 if she got 4 words wrong, how many were correct
Answers
Answer:
Marcy got 16 wrong.
Step-by-step explanation:
You simply multiply 1 ( from the missed side of the ratio ) by 4 ( how many Marcy got wrong ) which equals 4. Then you do the same to the other side. 4 ( from the "correct" side of the ratio ) by 4 ( how many Marcy got wrong ). 4 x 4 is 16. So, Marcy got 16 wrong.
Answer:
16
Step-by-step explanation:
The ratio is 1:4 means for 1 wrong word, she got 4 words correct. If she has 4 words wrong, multiply that with 4 and you got 16.
Evelyn deposited $90 in an account
earning 10% interest compounded
annually.
To the nearest cent, how much interest
will she earn in 1 year?
Use the formula B = p(1 + r)², where B is
the balance (final amount), p is the
principal (starting amount), r is the
interest rate expressed as a decimal, and t
is the time in years.
Answers
The compound interest earned by Evelyn in one year is $9.
Evelyn has a bank account. She deposited $90 in her account. She earns 10% interest on her deposited money. The interest earned is compounded annually. We need to calculate the interest earned by her in one year, to the nearest cent.
We need to calculate the compound interest. The formula is given below.
B = p(1 + r)^t
The variables 'B', 'p', 't', and 'r' represent the final amount, the initial amount, the time duration, and the rate of interest, respectively.
B = $90(1 + 0.1)^1
B = $90*1.1
B = $99
The final amount in her bank account after one year is $99. The interest earned is the difference between the final and the initial amount. Let the variable 'I' represent the interest earned.
I = B - p
I = $99 - $90
I = $9
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helppppppppppppppppppppppppppppppppppp pls can you show me how to write out each problem and solve it
Answers
Answer:
1) 1.96
2) 6
3) 4/3
Step-by-step explanation:
think of exponents as repeated multiplication. the exponent is how many times you're going to multiply the number itself by.
1) [tex]1.4^{2}[/tex] is really just 1.4 * 1.4, which you can solve by long multiplication or a calculator to get 1.96
2) for this one, you can rewrite the expression as a fraction. you'll also want to use PEMDAS, starting with the parentheses
[tex]\frac{300}{ 2(0.5+4.5)^{2}}\\\\\frac{300}{2*(5)^2}\\\\\frac{300}{2*25} \\\\\frac{300}{50} = 6[/tex]
3) [tex](\frac{1}{2})^{3} = \frac{1}{2} *\frac{1}{2} *\frac{1}{2} = \frac{1}{8} \\[/tex]
you can rewrite the division as a fraction again, only this time. you can change the subtraction to the reciprocal of the denominator
[tex]\frac{1}{3} / (2*\frac{1}{8} )= \frac{1}{3} / \frac{1}{4} = \frac{1}{3} * 4 = \frac{4}{3}[/tex]
hope this helped!
HELP DUE at 2:30 PM!!!!!
Solve.
−8/9 = −1/6 − 3/10x
Enter your answer as a mixed number in simplest form in the box.
Answers
Answer: hi
Step-by-step explanation:
I need help with the properties of exponents. my work is past due and I'm failing my classes!
Answers
Answer:
answers found in pdf
Step-by-step explanation:
mathaway will help check your answers that what I did.