Answer:
See attachment
Step-by-step explanation:
Problem 3, part 1
The graph is shown below. Refer to figure 1. It looks like you have the right idea, but the left-most piece of the graph is incorrect. Take note how the left-most piece is going uphill when moving left to right. This is due to the positive slope for y = 2x+5.
The graph shows that nearly the entire real number line is covered when it comes to the range; however, there's a gap from y = 4 to y = 6. We're not including y = 4 in the range, but we include y = 6 in the range.
The lower part of the range spans from negative infinity up to y = 4, excluding that endpoint. So we have \((-\infty, 4)\) as part of the range.
The upper half of the range is from y = 6 onward to infinity. We include y = 6. This means \([6, \infty)\) is also part of the range.
Answer: The range in interval notation is \((-\infty, 4) \ \cup \ [6, \infty)\)The square bracket says to include 6 as part of the range. The "U" symbol is the union operation to glue together the two disjoint intervals.
====================================================
Problem 3, part 2
Move onto figure 2 for the graph. It appears you didn't graph the V shape correctly for the absolute value piece of y = 2|x+6|. That's the red portion of the graph in figure 2. As the graph shows, we can target any nonnegative y value. Therefore y = 0 or larger. In terms of an inequality, we would say the range is \(y \ge 0\)
Answer: The range in interval notation is \([0, \infty)\)At an arcade, a book of 20 tickets costs $5, a book of 30 tickets costs $7, and a book of 50 tickets costs $10. Would a graph of the relationship between price and number of tickets in a book be a straight line? Explain.
Answer:
yes
Step-by-step explanation:
Show what a monomial expression looks like
Give me a monomial expression and solve it, step-by-step, thoroughly, show your work and explain with each step how your doing it
(New to this, thanks in advance for the extra help!!!)
Answer:
Refer to the step-by-step explanation.
Step-by-step explanation:
Come up with a monomial expression and solve it.
What is a monomial expression?A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.
Here are a few examples of an monomial expression:
5x-2xy²3a⁵7m³n²\(\hrulefill\)
Let's work with the monomial expression, 3x²y³z.
To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.
Plug these values into the expression:
3x²y³z
=> 3(3)²(2)³(1)
=> 3(9)(8)(1)
=> 27(8)(1)
=> 216(1)
=> 216
Thus, the expression is solved.
THIS IS IREADY PLEASE HELP RIGHT ANSWER (Only)
1. What section of park is located at 7,0? A. Duck pound B. Gardens C. Bike trail D. parking lot.
Answer Bike trail
Step-by-step explanation:
Answer:
Bike trail
Step-by-step explanation:
Determine the width of the pond.
Answer:
180 ft.
Step-by-step explanation:
\( \frac{90}{135} = \frac{120}{x} \)
\(90x = 16200\)
Check the picture below.
The sum of two numbers is twenty-four. The difference of the two numbers is four.
Answer:
\(x + y = 24\)
\(x - y = 4\)
Now, add these two equations.
You get,
\(2x = 28\)
\(x = \frac{28}{2} \)
\(x = 14\)
Given,
\(x + y = 24\)
\(14 + y = 24\)
\(y = 24 - 14\)
\(y = 10\)
You can test this to the other equation as well.
\(x - y = 4\)
\(14 - 10 = 4\)
Hence, the two numbers are 14 and 10.
A student is graduating from college in one year but will need a loan in the amount of $4,980 for the last two semesters. The student may receive either an unsubsidized Stafford Loan or a PLUS Loan. The terms of each loan are:
Unsubsidized Stafford Loan: annual interest rate of 6.25%, compounded monthly and a payment grace period of six months from time of graduation
PLUS loan: annual interest rate of 7.25%, compounded monthly, with a balance of $5,353.29 at graduation
Which loan will have a higher balance and by how much at the time of repayment?
The Stafford loan will have a higher balance by $114.84 at the time of repayment.
The PLUS loan will have a higher balance by $114.84 at the time of repayment.
The Stafford loan will have a higher balance by $52.97 at the time of repayment.
The PLUS loan will have a higher balance by $52.97 at the time of repayment.
The Stafford loan will have a higher balance of $114.84 at the time of repayment.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
The formula for compound interest compounded monthly is
A = P(1 + (r/12)/100)¹²ⁿ.
So, For Unsubsidized Stafford Loan,
A = 4980(1 + (6.25)/12/100)¹⁸. (12 times 1.5 years two semesters and 6
months)
A = 4980(1 + 0.0052)¹⁸.
A = 4980(1.0052)¹⁸.
A = $5467.
So, Unsubsidized Stafford Loan will give a higher balance.
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Answer: The Stafford loan will have a higher balance by $114.84 at the time of repayment.
Step-by-step explanation:
A box of chocolates contains 18 chocolate squares. 10 of the squares are milk chocolate. 5 are dark chocolate and 3 are white chocolate if christina randomly chooses a chocolate out of the box, what is the probability of her choosing a white chocolate square
Answer:
Either %16.67 or %17 if rounded
Step-by-step explanation:.
An easy way to do this is convert the probability from a fraction into a percent. We can do this by taking the total number of chocolate squares (18) and using this as a denominator. Then take the number of white chocolate squares (3) and using this as our numerator. This give us a fraction of 3/18. Now to turn this into a percent, we need to find what you need to multiply 18 by to get 100. We can do this easily by deviding 100 by 18. This is a long decimal so i'll keep it in fraction form (100/18). Now you just have to multiply 3 by (100/18). This is about 16.67. If the answers are rounded it will be 17%.
a building has four stories that are each 15 ft High a scale drawing has a height of the building at 5 in which of the following is the correct scale 1:72 1:12 1:114 5:60
We are given the following information
A building has four stories and each story is 15 ft high
So the overall height of the building is
\(4\times15=60\: ft\)On the scale drawing, the height of the building is 5 in
Then the scale factor is
\(scale\: factor=\frac{5\: in}{60\: ft}=\frac{1}{12}\)Therefore, the correct answer is 1:12
A pizza with a radius of 9 inches is sliced into 12 pieces. What is the length of the crust of one piece of pizza?
Answer:
21.2058333333
Step-by-step explanation:
Answer:
Step-by-step explanation:
Circumference = 2 * pi * r
r = 9 inches
Circumference = 18 pi
If there are 12 pieces (all equal) then the length of the crust is
C_part = 18*pi/12
C_part = 3/2 * pi
C_part= 4.71 inches
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
Thanks so much!!
Answer:it would be 88 because of the co efficient due to the process of mingus in china which made it a law to not pursue dreams within country borders
Step-by-step explanation:
Finding the Equation of a Line
You have discovered another alien.
Move the sliders to change the slope and y-intercept.
Create an equation to produce the correct line of travel.
slope: 0
6
What is the equation of the line that provides the
correct path to rescue this alien?
A. Y=5
B. Y=x+5
C. Y=-x+5
D. Y=5x
Answer:
the answer is Y=-x+5
Step-by-step explanation:
The population of one country changed from 23 million to 54 million. Use the information to find the unknown values in the bar diagrams a = L.347 b
The population of one country changed from 23 million to 54 million. Use the information to find the unknown values in the bar diagrams a = L.347 b
y
What’s the length of kL?
Applying the intersecting secants theorem, the length of segment KL is approximately, 45.8.
What is the Intersecting Secants Theorem?According to the intersecting secants theorem, if two lines from a point outside a circle intersect the circle, then the product of the length of one line segment and its portion outside the circle is equal to the product of the length of the other line segment and its portion outside the circle.
Using the theorem, we have:
MN * MO = ML * MK
Substitute:
21 * 48 = 22 * KL
1,008 = 22KL
1,008/22 = KL
KL = 45.8 (nearest tenth)
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Find the volume of this sphere.
Use 3 for T.
d=6in
V ~ [?]in3
V = Tr3
Answer:
V = 108 in³
Step-by-step explanation:
Given:
Volume of sphere = ⁴/3πr³
π = 3
d = 6 in.
r = ½(6) = 3 in.
Required:
Volume of sphere
Solution:
V = ⁴/3πr³
Plug in the values
V = ⁴/3 * 3 * 3³
V = ⁴/3 * 3 * 27
V = 4 * 27
V = 108 in³
Please do fast doesn't have to be long explanation
1. The Mean and Standard Deviation should be used by the restaurant manager to measure the volume of soap served in each cup per day.
2. To determine the most popular car type, the Highway officer should use the Mode.
3. To compute the yearly salary of all employees in a company, the researcher should use the Median and Quartiles.
4. The actuary should use the Mean and Standard Deviation to record the reported age at death of residents in the state.
5. To determine the most common gas price, the researcher should use Mode.
What is the mean?The mean is the average of a data set.
Standard deviations are squared variations from the mean.
What is the mode?The mode is the value with the most often common occurrence in a data set.
What are median and quartiles?The median is a division of a data set into a lower half and an upper half.
Quartiles represent middle values or the median.
The lower and upper quartiles are the middle values of the lower half and the upper half, respectively.
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Add. (2x^4+c^3-4^2+3)+(4x^4-2x^3-x^2+10x+2)
The value of (2x^4+x^3-x^2+3)+(4x^4-2x^3-x^2+10x+2) is 6x⁴-x³-2x²+10x+5
What is addition of expression?Expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
Adding two expressions together requires to collect like terms. like terms are terms with similar variable. For example, in 2x²+6x+x² , x² and 2x² are like terms.
Therefore, 2x⁴+x³-x²+3 + 4x⁴-2x³-x²+10x+2 can be simplified as;
2x⁴+4x⁴+x³-2x³-x²-x²+10x+2+3
= 6x⁴-x³-2x²+10x+2
therefore, the value of 2x⁴+4x⁴+x³-2x³-x²-x²+10x+2 is 6x⁴-x³-2x²+10x+5.
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PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer: 10x5
(10 blocks wide, 5 blocks long) or (5 blocks wide, 10 blocks long)
Step-by-step explanation:
3 blocks = 18 meters, so
1 block = 6 meters
60meters/ 6meters= 10 blocks
30 meters/ 6 meters = 5 blocks
Which expressions are equivalent to 24-7? Choose all the correct answers. Show your work.
The equivalent expressions to \(24^{-7}\) are given as follows:
C. \(\left(\frac{1}{24^{-7}}\right)^{-1}\)
F. \((24^3 \times 24^4)^{-1}\)
What are are equivalent expressions?Equivalent expressions are expressions that have the same value for all possible values of the variables. In other words, equivalent expressions are different ways of writing the same mathematical idea.
The exponent in the denominator can be moved to the numerator with the changed signal, hence:
\(\left(\frac{1}{24^{-7}}\right)^{-1} = (24^7)^{-1}\)
Applying the power of power rule, we multiply the powers, hence:
\((24^7)^{-1} = 24^{-7}\)
When two terms with the same base and different exponents are multiplied, we add the bases and keep the exponents, hence:
\((24^3 \times 24^4)^{-1} = (24^7)^{-1} = 24^{-7}\)
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I don't understand with this question, can you help me with this pls?
Answer:
By moving the decimal at the end of the number to the correct amount of places for x 10 you move it once to the right for x 100 you move it right twice.
Step-by-step explanation:
Identify the range of the graphed function
Answer: The first Option.
Step-by-step explanation:
y is greater than -1 and y is less than or equal to 4.
The range of the function will be Range = {y | 0 < x ≤ 6}. Then the correct option is C.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The domain means all the possible values of x and the range means all the possible values of y.
The domain of the function is (-1, 4] and the range of the function will be
Range = {y | 0 < x ≤ 6}
Then the correct option is C.
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neeedd help on a question I am stuck in, can you please help me understand.
You have the point (6, -4) and the line x=-2 (in blue)
As you reflect the point across line x=2, the distance between initial point and the line and the distance of point after reflection and the line in coordinates x needs to be the same.
The distance in x from the initial point and the line is 8 units.
Then, after reflection the coordinates of point are ( -10 , -4)
Now to reflection across the line x=4: (line x=4 in purple)
The distance in x from the initial point and the line is 14 units.
Then, after reflection the coordinates of point are (18, -4):
In an algebraic expression, the quantities being multiplied are called factors.
We can be performed Multiplication on algebraic expressions in the same way as it can be performed on two whole numbers or fractions.
Multiplication of algebraic expressions or variable expressions involves multiplying two expressions combined with various arithmetic operations like addition, subtraction, multiplication, and division and contains constants, variables, terms, and coefficients.
Multiplying the algebraic equation involves the following steps.
1. Multiply the coefficients of the terms, add the powers of the variables with the same base, and obtain the algebraic sum of the like and unlike terms before learning about the multiplication of algebraic expression.
The multiplication of two terms with the same signs is positive, and two terms with different signs are negative.
Example:
−a×−b=ab
a×−b=−ab
We can add the exponents of the same bases in case of multiplication as a^m×a^n=a^m+n
Example:
a^2×a^3=a^2+3=a^5
b^5×b^8=b^5+8=b^13
Algebraic Expression: An algebraic expression is the collection of the constants and the variables connected by fundamental operators like addition (+), subtraction (−), etc.
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Freida only has 1/2 cup measuring cup. She fills the measuring cup two times to get 1/2. use visual models to explain why this works
Freida can use her 1/2 fraction of cup measuring cup twο times tο get 1/2 cup because twο 1/2 cups equal 1 cup.
What are fractiοns?Fractiοns are a way tο represent a part οf a whοle οr a divisiοn οf a quantity. They are written as a numeratοr (the tοp number) οver a denοminatοr (the bοttοm number) and separated by a line.
Freida is using a 1/2 cup measuring cup. When she fills it up οnce, she has 1/2 cup. Then, when she fills it up again and adds it tο the first 1/2 cup, she has a tοtal οf 1 cup.
This can be visualized by imagining a rectangular shape that represents 1 cup οf liquid. If we divide this shape intο twο equal parts, each part represents 1/2 cup. When Freida fills up her 1/2 cup measuring cup and adds it tο the first 1/2 cup, she is essentially filling up οne οf these parts. When she repeats this prοcess, she fills up the bpart, and the twο parts tοgether make up the entire 1 cup shape.
Hence, Freida can use her 1/2 cup measuring cup twο times tο get 1/2 cup because twο 1/2 cups equal 1 cup.
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B) What is the cost of making 35 items?
And c. The domain
The cost of making 35 items is 1100 and the domain is (-∞,∞)
The cost of making 35 items :
x = 35plug the value into the cost equation
C(35) = 10(35) + 800
C(35) = 350 + 800
C(35) = 1100
Hence, cost of making 35 items is 1100
The domain of the functionSince the value of X can be any real number, we can plug in any real number for x and get a real number output.
Hence, the domain = (-∞,∞)
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Tell whether b = 12 is a solution of b - 7 = 5
Answer:
Yeah, \( \sf b = 12 \)
Step-by-step explanation:
Given equation,
→ b - 7 = 5
Now the value of b will be,
→ b - 7 = 5
→ b = 7 + 5
→ [ b = 12 ]
Hence, the value of b is 12.
Answer: Yes
Step-by-step explanation: If you plug 12 into b, you will get the equation 12 - 7 = 5.
Try solving 12-7. It is 5.
Make me brainliest! Have a nice day :)
How do I do number 1??
Help me it’s due tomorrow!!!
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
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Explain
••••••••••••••••••••••••••
Answer: 952 ft squared
Step-by-step explanation:
Surface area, is just the area of all the faces added together.
So, the sides we need to find are measuring:
Triangle side: 10 x 8
Triangle Face; 10 x 8
Square Face: 10 x 10
Square Face: 10 x 10
Rectangular Face: 14 x 10
Rectangular Face: 14 x 10
Bottom Rectangular face: 14 x 10
Side of the Triangular prism: 9 x 14
Side of the Triangular prism: 9 x 14
Because the triangle face has two of them, we only have to do one as opposed to dividing the same face twice.
So, we have a side of 80.
From here, it is just multiplication.
80 + 100 + 100 + 140 + 140 + 140 + 126 + 126 = 952 ft
(m - n)?:
use m = 9 and n = 5
Answer:
9-5=4
Step-by-step explanation:
Plug in 9 for m and 5 for n
Answer:
m - n = 4
Step-by-step explanation:
m - n
9 - 5 = 4
The x and y intercepts for the linear equation x – 2y = -8 is
Answer:
x- intercept = - 8 , y- intercept = 4
Step-by-step explanation:
to find the x- intercept let y = 0 in the equation and solve for x
x - 2(0) = - 8
x - 0 = - 8
x = - 8 ← y- intercept
to find the y- intercept let x = 0 in the equation and solve for y
0 - 2y = - 8
- 2y = - 8 ( divide both sides by - 2 )
y = 4 ← y- intercept
Solve for A
Please and Thank you
Answer:
a= hb/2-h
Step-by-step exp...If Future probelms like this arise but for this I just looked at old notes my teacher gave.