Hey!
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Answer: 0.92
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Explanation: The correlation will be between 1 and -1. 1 being positive and -1 being negative. The highest number that is closest to the r value is the strongest correlation.
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Hope This Helped! Good Luck!
Answer:
0.71
Step-by-step explanation:
What is the solution to 8 + 9p = 9p - 7?
Answer:
15=0 not a real number
Step-by-step explanation:
8+9p=9p-7
+7 +7
15+9p=9p
-9p -9p
15=0
let f(x) = x^2 - 2x + 2 and g(x) = x - 3. find f(x) times g(x)
Answer:
x³ - 5x² + 8x - 6
Step-by-step explanation:
(x² - 2x + 2)(x - 3) ← product is required
Each term in the second factor is multiplied by each term in the first factor , that is
x²(x - 3) - 2x(x - 3) + 2(x - 3) ← distribute all 3 parenthesis
= x³ - 3x² - 2x² + 6x + 2x - 6 ← collect like terms
= x³ - 5x² + 8x - 6 → (b)
Answer:
g( x)^2=x^2-6x+9=f(x)-4x+7, f(x)=g(x)^2-4g(x)-5=(g(x)-2)^2-9=(g(x)+7)×(g(x)-11)
f(x)=x^2-2x+2=g(×)^2+4x-7
Hugo received $100 for his birthday. He
then saved $20 per week until he had
a total of $460 to buy a printer. Use an
equation to show how many weeks it took
him to save the money.
Answer:
18 weeks
Step-by-step explanation:
Total amount of money saved up to buy the printer is T(w), where w is the number of weeks.
Then T(w) = $100 + ($20/wk)w
Setting this equal to $460, we solve the resulting equation for w to determine the number of weeks it took Hugo to save up $460 total:
$460 = $100 + ($20/wk)w, or
$360 = ($20/wk)w, or
w = $360/($20/wk) = 18 weeks
Hugo's savings over time can be represented by the equation 100 + 20w = 460. Here, w is the number of weeks saved. Solving this equation shows that Hugo saved for 18 weeks to have enough money for the printer.
Explanation:The problem can be solved by setting up an equation related to Hugo's savings. Hugo had $100 and he saved $20 per week until he had a total of $460. If we let w represent the weeks, we could represent this situation with the equation 100 + 20w = 460.
To solve the equation, we subtract 100 from both sides giving us 20w = 360. Then divide both sides by 20 to get w = 18. Therefore, it took Hugo 18 weeks to save enough money for the printer.
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Which three dimensional figure has double the number of edges than faces
Answer:cube
Step-by-step explanation:
Answer:
Cube
Step-by-step explanation:
Take a cube, or draw one. You can count the faces.
Knowing that a cube has 6 faces, we will count the edges.
There are 12 edges on a cube.
So, 12÷6=2.
Anything that you multiply by two is half the product.
show all work.
-5X - 16 = 8x - 3
Good evening ,
______
Answer:
x= -1
____________________
Step-by-step explanation:
-5X - 16 = 8x - 3
⇔-5x-8x = -3+16
⇔-13x = 13
⇔x = -1
Answer:
x = -1
Step-by-step explanation:
-5X - 16 = 8x - 3
add 5x on both sides
⇒ -5X - 16+5x= 8x -3 + 5x
⇒ -16 = 13x -3
add 3 on both sides
⇒-16 + 3 = 13x -3 +3
⇒ -13 = 13x
divide both sides by 13
⇒ -13/13 =13x/13
∴ -1 = x
4.6(x - 3) = -0.4x + 16.2
Hey!
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Steps To Solve:
4.6(x - 3) = -0.4x + 16.2
~Distributive property
4.6x - 13.8 = -0.4x + 16.2
~Add 0.4 to both sides
4.6x - 13.8 + 0.4= -0.4x + 16.2 + 0.4
~Simplify
5x - 13.8 = 16.2
~Add 13.8 to both sides
5x - 13.8 + 13.8 = 16.2 + 13.8
~Simplify
5x = 30
Divide 5 to both sides
5x/5 = 30/5
~Simplify
x = 6
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Answer:
[tex]\large\boxed{x~=~6}[/tex]
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Write the simplified expression.
Answer:
343
Step-by-step explanation:
Let's start simplifying with the numerator:
(15-8)⁹
=7⁹
=40353607
Now simplify the denominator :
[(5+2)³]²
=[(7)³]²
=[343]²
=117649
Now combine them :
(15-8)⁹/ [(5+2)³]²
=40353607 / 117649
=343
Use the commutative property to rewrite the following expression. x+13
Answer:
13+x
Step-by-step explanation:
1. Since its commutative property you can switch it around and you will still get the same answer.
2. Instead of x+13 you can write it as 13+x
The commutative property in mathematics tells us that the order in which you add or multiply numbers doesn't change the outcome. Therefore, using the commutative property, the expression 'x + 13' can be rewritten as '13 + x'.
Explanation:The commutative property in mathematics is a fundamental property that applies to both addition and multiplication. It states that the order in which you add or multiply numbers does not change the result. For example, 3 + 4 = 4 + 3 or 2 * 5 = 5 * 2.
So, when the question asks to use the commutative property to rewrite the expression x + 13, it simply means that you should reverse the order of the addition. Using the commutative property, the expression x + 13 changes to 13 + x.
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3y + 1 - 2y = -3 - 3y
Answer:
Step-by-step explanation:
3y + 1 - 2y = -3 -3y
4y = -4
y = -1
Answer:
y=-1
Step-by-step explanation:
First you combine like terms.
1y+1=-3-3y
Then you add 3 on both sides so the -3 cancels out.
1y+4=-3y
Then you subtract 1y on both sides to cancel out y.
4=-4y
Then you divide both sides by -4 to get y by itself.
y=-1
"Round 2 significant figures
5,239"
what does it want me to do here?
Answer:
5,200
Step-by-step explanation:
Significant figure = digit number
they want you to change 5239 to 2 s.f
thus,5200 <--2 digit number
To round the number 5,239 to two significant figures, we determine that the digit following the second significant figure is less than 5, so the number rounds down to 5,200.
The student is asking about rounding the number 5,239 to two significant figures. To round a number correctly to a certain number of significant figures, you start counting from the leftmost non-zero digit and keep the number of digits required. For the number 5,239:
Determine the second significant figure: The second digit after the leading 5 is 2, so that is where we will round the number.
Look at the digit following the last significant digit: In this case, it's a 3, which is less than 5.
Apply the rounding rules: Since the digit after the second significant figure is less than 5, we do not increase the second figure, and the rest of the digits become zeros.
Therefore, 5,239 rounded to two significant figures is 5,200.
A car salesperson is paid a base salary of
$35,000 plus 8% of sales. What are the
sales needed to have an annual income
greater than $65,000?
To have an annual income greater than $65,000, a car salesperson needs to achieve sales of at least $375,000.
Explanation:To determine the sales needed to have an annual income greater than $65,000, we need to set up an equation.
Let's represent the sales amount as 'x'.
The equation will be: $35,000 + 0.08x > $65,000.
To isolate 'x', subtract $35,000 from both sides: 0.08x > $30,000.
Finally, divide both sides by 0.08 to find the sales needed: x > $375,000.
Therefore, the sales needed to have an annual income greater than $65,000 is $375,000.
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- W2 - 11uv + 2v2
(if u = -1, v = 8, and w = -3)
The value of the given expression for the given variable values is 207.
The given expression is -w²-11uv+2v².
We need to find the value of the expression for u = -1, v = 8, and w = -3.
How to find the value of an expression?To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
Now, substitute u = -1, v = 8, and w = -3 in the expression -w²-11uv+2v².
We get, -w²-11uv+2v²=-(-3)²-11(-1)(8)+2(8)²
=-9+88+128=207
Therefore, the value of the given expression for the given variable values is 207.
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Mitch is buying candy bars for his friends. He wants to give 2 bars to each friend, and wants to have 10 spare bars. He can afford to buy 36 candy bars. How many friends can he treat?
Answer:
Mitch can give 2 candy bars to 13 friends
Step-by-step explanation:
first, since he wants 10 left over, you subtract 36-10 which is 26. Then, since he wants to give each friend 2 candy bars, you divide 26 by 2 which equals 13.
11. During a thunderstorm, 143 out of 333
houses lost electrical power.
a. Write the decimal equivalent for
b. Use Structure What do you notice
about the digits in the decimal
equivalent?
Answer:
a).429 with all numbers repeating
b)They all repeat
The equivalent decimal value is 0.429429 and the number 429 is repeated after the decimal.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The question is incomplete.
The complete question is:
During a thunderstorm, 143 out of 333
houses lost electrical power.
a. Write the decimal equivalent for 143/333.
b. Use Structure What do you notice about the digits in the decimal equivalent?
As we know from the definition of the fraction, the number 143 is in the numerator and the number 333 is in the denominator.
= 143/333
After dividing:
= 0.429429....
The equivalent decimal value is 0.429429.
As we can see after dividing the number 429 is repeated after the decimal.
Thus, the equivalent decimal value is 0.429429 and the number 429 is repeated after the decimal.
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What is the EXACT area of a circle that has a radius of 1/2 inch?
Answer:
π/4 in^2.
Step-by-step explanation:
The exact value = π r^2
= π * (1/2)^2
= π/4 in^2.
[tex]5.6 \div 1.682[/tex]
hi! I'm new to this type of math. i could really use some help understanding this. if you can help, that would help si much!
Which of the following lines has a zero slope?
It should be A because C cannot exist at the moment. B and D are clearly slopes, so it has to be A.
Each grade level at Hooperville Schools has 298 students.
a. If there are 13 grade levels, how many students attend Hooperville Schools?
b. A nearby district, Willington, is much larger. They have 12 times as many students. How many students attend schools in Willington?
Answer:
(a) 3,874 students.
(b) 46,488 students.
Step-by-step explanation:
We have been given the each grade level at Hooperville Schools has 298 students.
(a) To find the number of students that attend Hooperville Schools, we will multiply the number of grades by 298.
[tex]\text{Students that attend Hooperville Schools}=13\times 298[/tex]
[tex]\text{Students that attend Hooperville Schools}=3,874[/tex]
Therefore, 3,874 students attend Hooperville Schools.
(b) We have been given that nearby district, Willington, is much larger. They have 12 times as many students.
To find the number of students that attend schools in Willington, we will multiply number of students at Hooperville schools by 12.
[tex]\text{Students that attend Willington Schools}=12\times 3,874[/tex]
[tex]\text{Students that attend Willington Schools}=46,488[/tex]
Therefore, 46,488 students attend schools in Willington.
I need help Please!
Sally has 13 coins in her pocket. Nine of the coins are nickels, and the
rest of the coins are dimes. How many of the coins are dimes?
a.
Identify what is being asked.
b.
Strategize (What variable will you use to represent the unknown?)
c.
Set up (Write an equation)
d.
Solve (Find the solution)
e.
Check
(Does your answer make sense?)
Don't answer if you aren't going to answer all the questions!
Answer:
To solve, use a simple one-step equation
Known: Number of coins; Number of Nickles.
Unknown: Number of Dimes.
a) To find the number of Dimes
b) Use x (or virtually any letter) to represent the unknown number of dimes
c) 9+x=13
d) Subtract 9 from both sides to cancel out the 9 and isolate the variable on one side. x=4
e) 9+4=13, so yes, the answer is correct
The height of this iron rod is estimated to be 100 centimeters. What is the possible error of measurement?
A. 10 cm
B. 5 cm
C. 2.5 cm
D. 1 cm
Hey!
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[tex]\large\boxed{C.~2.5~cm.}[/tex]
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Explanation:
On the centimeter it's measures in increments of 5. The iron passes the 95 mark, so we can automatically take out option A and B. The iron rod looks like its half way between the 100 and 95 mark. So we can say that the possible error of measurement is 2.5cm. 1cm. seems to small.
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Hope This Helped! Good Luck!
Answer:
[tex]2,5\: cm[/tex]
Step-by-step explanation:
It is impossible to calculate half-measurements in his case, so we can say so about this measurement.
I am joyous to assist you anytime.
What is the inverse of this given function?
to get the inverse of any expression, we start off by simply doing a quick switcheroo on the variables, and then solving for "y".
[tex]\bf g(x)=4y\implies \stackrel{switcheroo}{g(y)=4x}[/tex]
How to write 4÷873 show your work
You can write it as 4/873. This is the fraction form.
Hope this helped
Answer:
218.25
Step-by-step explanation:
Am I right and if not what's the answer.
Answer:you are so right
Step-by-step explanation:
CAN SOMEONE HELP ME WITH THIS QUESTION?????????????????????????
The first one is Function 4. The y intercept is wherever the slope intercepts the Y axis, which would only be once if it is a true function. You can see that function 1's y intercept is 5. Function 2's is-4. Function 3's is -2. Function 4 tells you it's/ y intercept is 1. The one that's closest to 0 is number 4. As for the second one, the answer is function 1. I'm not positive on the third one, but can say function 4 is an answer.
Answer:
Step-by-step explanation:
A freezer has a volume given by the trinomial y^3-2y^2-35y. What are the possible dimensions of the freezer? Use factoring.
Answer:
Step-by-step explanation:
[tex]y^{3} - 2y^{2} - 35y[/tex]
[tex]y(y^{2} - 2y - 35)[/tex]
[tex]y(y - 7)(y + 5)[/tex]
The possible dimensions of the freezer are given by the factors y, (y - 7), and (y + 5), representing the length, width, and height of the freezer respectively.
Explanation:The question is asking for the possible dimensions of a freezer with a volume represented by the trinomial y^3-2y^2-35y. To find the dimensions, we will factor this expression.
We can factor out the common factor y first:
y(y^2 - 2y - 35)
Next, we need to factor the quadratic equation. We look for two numbers that multiply to give -35 and add to give -2. These numbers are -7 and +5.
y(y - 7)(y + 5)
Now we have the factors of the trinomial. These factors represent the possible dimensions of the freezer: a length of y units, a width of (y - 7) units, and a height of (y + 5) units, where y is a positive real number because physical dimensions must be positive.
A woman traveled 2438.1 miles in 17 hours 20 minutes. Find the average speed of her light in miles per hour (Change 17 hours 20 minutes into hours and use the formula
d=rt)
Answer:
+140.68 m/h
Step-by-step explanation:
17.33 h
2438.1/17.33 = 140.68
+140.68 m/h
Final answer:
The woman's average flight speed is 140.7 miles/hour, calculated by using the formula for speed (v = d/t) on the provided distance (2438.1 miles) and the converted time (17 hours 20 minutes to 17.333 hours).
Explanation:
Calculating Average Speed
The question is asking to calculate the average speed of a woman's flight given the distance traveled and the time taken. To convert the time from hours and minutes to just hours, we use the fact that 20 minutes is ⅓ of an hour (20/60). Therefore, 17 hours 20 minutes is equivalent to 17 + ⅓ = 17.333 hours.
We use the formula for speed, v = d/t, which tells us that speed (v) is the distance (d) divided by the time (t). Plugging in the given values:
Distance (d) = 2438.1 miles
Time (t) = 17.333 hours
Applying these values to the formula gives us:
v = 2438.1 miles / 17.333 hours = 140.7 miles/hour.
So, the final answer is that the woman's average speed during her flight was 140.7 miles/hour.
Write an equation of a line in slope intercept form (y = mx + b) going through the points
(-2, 0) and (4, -3). Show your work for full credit.
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (4, - 3)
m = [tex]\frac{-3-0}{4+2}[/tex] = [tex]\frac{-3}{6}[/tex] = - [tex]\frac{1}{2}[/tex], thus
y = - [tex]\frac{1}{2}[/tex] x + b ← is the partial equation
To find b substitute either of the 2 points into the partial equation
Using (- 2, 0 ), then
0 = 1 + b ⇒ b = 0 - 1 = - 1
y = - [tex]\frac{1}{2}[/tex] x - 1 ← in slope- intercept form
Solve the equation for y.
23 = 5x – 2y
Answer:
Step-by-step explanation:
23 = 5x - 2y.
2y = 5x -23. Rearrange to make y the subject
y = (5/2)x - 23/2
23 = 5x – 2y
move 5x to the other side
sign changes from +5x to -5x
23-5x= 5x-5x-2y
23-5x= -2y
divide both sides by -2 to get y by itself
23/-2-5x/-2= -2y/-2
Answer:
y=-23/2+5x/2 or y=5x/2-23/2
What was built in Lowell, Massachusetts that helped change the lives of Americans?
A. Grain mills
B. Steel mills
C. Corn mills
D. Textile mills
Answer:
The Correct Answer is D
Textile mills
Step-by-step explanation:
Lowell's influence on industrialization in the United States was huge as his techniques were quickly replicated in different industries beyond the nation.By 1839, the facilities in Lowell hired at some measures more than 7,000 textile laborers, generally known as mill ladies or industry ladies. The Lowell mills were the primary reflection of the industrial revolution to happen in the United States, and with their achievement got two separate aspects of the facilities.Maricia has 412 bouquets of flowers for centerpieces.She uses 8 flowers for centerpiece.How many centerpieces can she make?
Interpet the remainder to solve?
Answer:
She can make about 51 centerpieces in total