Is valid proportion here
(10 + 5 )/ 18 = 10/d
then find d
d= 18• 10/ (10+5)
d= 180/15 =
d= 12
Then answer is
d = 12 mm
answer both questions if possible or just the main questions
ASAP
Answer: Domain: [-4,infinity)
Range: (-infinity,6]
f(-1) is 3
Step-by-step explanation:
Answer: Domain: [tex]x\geq -4[/tex]
Range: [tex]y\leq 6[/tex]
f(-1) = 3
Step-by-step explanation:
(-4,6) and (0,2) are both points on the line, so the equation of the line is
y = -x + 2
1 + 2 = 3
The table shown gives values of the function y=g(x) for selected values of x. Which represents g(x)
Given:
A table with the given values of the function y=g(x).
To find the function that represents g(x), we substitute a value of x into the given options.
For:
g(x =3+2x:,:
Let x=3
[tex]\begin{gathered} g(x)=3+2x \\ =3+2(3) \\ =9 \end{gathered}[/tex]Based on the given table, the value g(x) is 24 when x=3. So g(x)=3+2x is not the function that represents g(x).
For
[tex]\begin{gathered} g(x)=3\cdot2x \\ =3\cdot2(3) \\ =18 \end{gathered}[/tex]The value of g(x) =18 when x=3, so this is not the function.
For g(x)=3x^2:
[tex]\begin{gathered} g(x)=3x^2 \\ =3(3)^2 \\ =27 \end{gathered}[/tex]Hence, this is not the function as well.
For g(x)=3(2)^x:
[tex]\begin{gathered} g(x)=3\cdot2^x \\ =3\cdot2^3 \\ =3(8) \\ g(x)=24 \end{gathered}[/tex]We can notice that when x=3, the value of g(x) =24 which is the same as the value of g(x) in the given table.
To double check this, we plug in the other values of x.
Therefore, the answer is:
[tex]g(x)=3\cdot2^x[/tex]Which is the better buy: 1 liter of soda for $1, or 1 gallon of soda for $4? Justify your answer.
It is better to buy 1 liter of soda for $1 compare to 1 gallon of soda for $4 .
As given in the question,
1 liter of soda for $1 ____(1)
1 gallon of soda for $4
Relation between gallons and liters is given by:
1 gallon is equal to 3.785 liters
1 gallon of soda = $4
⇒ 3.785 liter = $4
⇒ 1 liter = $ ( 4 / 3.785 )
⇒ 1 liter = $ 1.056 _____(2)
From (1) and (2)
$1.056 > $1
It shows $1.056 is little bit higher than $1.
Therefore, it is better to buy 1 liter of soda for $1 compare to 1 gallon of soda for $4 .
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HELP MEEEE PLEASE!!
Company A charges $20.40 monthly for up to 3 gigabytes of data and $9.80 per additional gigabyte. Company B charges $18.60 monthly for up to 3 gigabytes of data and $10.10 per additional gigabyte. For what number of additional gigabytes would the two companies charge the same amount?
_________ additional gigabytes of data
Considering the definition of an equation and the way to solve it, for 6 additional gigabytes of data the two companies would charge the same amount.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.This caseBeing "x" the number of miles driven, and knowing that:
Company A charges $20.40 monthly for up to 3 gigabytes of data and $9.80 per additional gigabyte. → Price of company A= 20.40 +9.80xCompany B charges $18.60 monthly for up to 3 gigabytes of data and $10.10 per additional gigabyte.→ Price of company B= 18.60 +10.10xIf the price charged by each company is the same, the equation is:
Price of company A= Price of company B
20.40 +9.80x= 18.60 +10.10x
Solving:
20.40 - 18.60= 10.10x - 9.80x
1.8= 0.3x
1.8 ÷ 0.3= x
6= x
Finally, for 6 of additional gigabytes the two companies would charge the same amount.
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Mario can save 40% on headphones at Best Buy with a coupon from the paper. Circle all of
the expressions he can use to find the discounted price of the headphones with an original
price of p.
a. 0.40p b. 0.60p c. p – 0.40 d. p – 0.40p
Answer: B and D.
Step-by-step explanation:
1) Find 40% as a decimal
100% = 1
40% = 0.4
2) It's -40% of its total value. So minus its value time 40%.
p - 0.4p
3) Simplify
0.6p
A) 0.4p not equal 0.6p X
B) 0.6p = 0.6p
C) p - 0.4 not equal 0.6p X
D) p-0.4p = 0.6p
whats 324/378 simplfy
Answer:6/7
Step-by-step explanation:
Answer:
162/189
Step-by-step explanation:
Divide by 2...................
Relative rates of Growth:Not that difficult but some rules are needed. Ask me if you have any questions regarding the material. Thanks!
Observing the given limit, as x approaches infinity, the quotient of two limits, f(x) and g(x) is equal to the constant
he definition therefore of the given is that it shows f(x) and g(x) grows at the same rate as x goes to infinity.
Carlos drives 161 kilometers at a speed of 70 kilometers per hour. For how many hours does he drive?
He drove for 2.3 hours.
What is speed?The speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
A body's speed is the amount of distance it travels in one unit of time.
Therefore, the SI Unit for speed is the meter per second, abbreviated as m/s
Formula
Speed = [tex]\frac{distance}{time }[/tex]
Time = [tex]\frac{distance}{speed}[/tex]
Given Data
Distance = 161km
Speed = 70km
Putting values in the formula
Time = [tex]\frac{161}{70}[/tex]
Time = 2.3
He drove for 2.3 hours.
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15. Write the conditional statement that the Venn diagram represents. Be sure to use
the "if, then" format (2 points).
Flower
Rose
Answer:
The conditional statement that the Venn diagram represents is:
"If it is a rose, then it is a flower".
How to write the conditional statement?
Here we have a Venn diagram, in it we can see that the set called "roses" is included in the set called "flowers".
So, the conditional statement is:
"if it belongs to the smaller set, then it belongs to the larger set"
This is kinda trivial.
For our case, it will be written as.
"If it is a rose, then it is a flower".
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can somebody help me please with this problem in mathematics.
Answer:
$15 × .8 = $12
$12 × .75 = $9
Which inequality in standard form represents the shaded region?Find all the solutions to the equation 4x3 + 16x2 + 28x = 0.
0, negative 4 + 2 i StartRoot 3 EndRoot, negative 4 negative 2 i StartRoot 3 EndRoot
0, 4 + 2 i StartRoot 3 EndRoot, 4 minus 2 i StartRoot 3 EndRoot
0, negative 2 + i StartRoot 3 EndRoot, negative 2 minus i StartRoot 3 EndRoot
0, 2 + StartRoot 3 EndRoot, 2 minus i StartRoot 3 EndRoot
All solutions to the cubic equation, 4•x³ + 16•x² + 28•x = 0, are presented as follows;
0, -2 + i•√(3), -2 - i•√(3), which is the option;
0, negative 2 + i StartRoot 3 EndRoot, negative 2 minus i StartRoot 3 EndRootWhat are the solutions to a cubic function?The solutions of a cubic function are given by the values at which the graph intersects the horizontal axis.
First Part
The graph showing the shaded region of the inequality is left out
Second part;
The given equation can be presented as follows;
4•x³ + 16•x² + 28•x = 0
Required;
To find all the solutions of the equation
Solution;
The solutions of the equation are given by the locations on the graph where the equation intersects the x–axis, which are therefore, the points where the function is equal to 0
The equation 4•x³ + 16•x² + 28•x = 0 can therefore be used to find the solution as follows;
4•x³ + 16•x² + 28•x = 0
x•(4•x² + 16•x + 28) = 0
x•(4)•(x² + 4•x + 7) = 0
x•(x² + 4•x + 7) = 0 ÷ (4) = 0
x•(x² + 4•x + 7) = 0
Which by the multiplicative identity of 0, gives;
x = 0 or x² + 4•x + 7 = 0Therefore;
x = 0 is a solution to the equation
The other solutions are found from the quadratic equation, x² + 4•x + 7 = 0, using the quadratic formula that gives the solution to the general quadratic equation, a•x² + b•x + c = 0, as follows;
[tex] \displaystyle{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 \times a \times c } }{2 \times a }}[/tex]
Comparing the general form of the quadratic equation to the quadratic equation from the question;
a•x² + b•x + c = 0
x² + 4•x + 7 = 0
Gives;
a = 1
b = 4
c = 7
Plugging in the above values of a, b, and c, we get;
[tex] \displaystyle{x = \frac{ - 4 \pm \sqrt{ {4}^{2} - 4 \times 1 \times 7 } }{2 \times 1} = \frac{ - 4 \pm 2 \cdot\sqrt{ - 3} }{2} }[/tex]
Which gives;
x = -2 ± √(-3) = -2 ± i•√(3)
The other solutions are therefore;
x = -2 + i•√(3) and x = -2 - i•√(3)The solutions of the equation, 4•x³ + 16•x² + 28•x = 0, are therefore;
x = 0, x = -2+i•√(3), and x = -2 - i•√(3)
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Solve the quadratic equation by factoring Write the answer in reduced fraction form, if necessary.
Given:
The quadratic equation ,
[tex]42x^2-29x-5=0[/tex]The solution of the given quadratic equation can be obtained as,
[tex]\begin{gathered} x=\frac{-(-29)\pm\sqrt[]{(-29)^2-4(42)(-5)}}{2\times42} \\ \text{ =}\frac{29\pm41}{84} \\ x=\frac{29+41}{84}\text{ or x=}\frac{29-41}{84} \\ x=\frac{70}{84}\text{ or x=}\frac{-12}{84} \\ x=\frac{10}{12}\text{ or x=}\frac{-3}{21} \\ x=\frac{5}{6}\text{ or x=}\frac{-1}{7} \end{gathered}[/tex]Hence, the solutions are,
[tex]x=\frac{5}{6},\text{ }\frac{-1}{7}[/tex]Let f(x)=−3x−1 and g(x)=x2− 1.
Find (f◦g)(−1).
Answer:
If i'm correct and the symbol between the f and g is multiplication the answer is 0.
Step-by-step explanation:
I have linked how I got this answer in the image below, I hope this is what you were looking for.
A scale on a map shows that 3 centimeters represents 10 kilometers. what nuber of centimeters on the map represents an actual distance of 25 kilometers
A line goes through the points (-3, -2) and (3, 6). Write the equation of the line in Slope-Intercept form, y = mx + b.
LET US FIND THE GRADIENT
[tex]m = \frac{y2 - y1}{x2 - x1 \\ \\ } \\ = \frac{6 - ( - 2)}{(3 - ( - 3)} \\ = \frac{6 + 2}{3 + 3} \\ = \frac{8}{6} \\ m= \frac{4}{3} [/tex]
I WILL USE THE POINTS (-3,-2) TO GET THE VALUE OF C
[tex] - 2 = \frac{4}{3} ( - 3) + c \\ - 2 = - 4 + c \\ - 2 + 4 = c \\ c = 2[/tex]
THEREFORE THE EQUATION IS
[tex]y = \frac{4}{3} x + 2[/tex]
ATTACHED IS THE SOLUTION
Ayuda es para hoy
Diego compra dos boletos para el juego de diversiones(Montaña rusa) cada uno le costó $4 dólares, para llenar el juego y empezar la vuelta hace falta 4 personas más, ¿Cuánto recaudará el cobrador del juego por cada vuelta?
A)$ 12 dólares
B)$ 24 dólares
C)$ 8 dólares
D)$ 32 dólares
Answer:
es la b
Step-by-step explanation:
porque diego es good
:D
Use the drop-down menus to complete the statements to match the information shown by the graph.
Using the concept of the slope of a linear function, it is found that:
Pool A is filing up slower than Pool B because the slope of the graph for Pool A is less than that of the graph for Pool B.The slope of the graph tells you the unit rate in gallons per minute.What is a linear function?A linear function, in slope-intercept format, is modeled according to the following rule:
y = mx + b
In which:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).For this problem, we have that Pool B starts with significantly less water than Pool A, but their volumes get closer, meaning that Pool B fills faster and has a higher slope, that is, it fills more gallons per minute into the pool.
The information above it what we use to complete the statements.
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Jason is putting crown molding in his master bedroom. The length of the room is 22 feet, and the width is 20 feet.How much crown molding will Jason need if he wants to have 20% extra in case of mistakes or damage?
SOLUTION:
Step 1:
In this question, we are given the following:
Jason is putting crown molding in his master bedroom. The length of the room is 22 feet, and the width is 20 feet.
How much crown molding will Jason need if he wants to have 20% extra in case of mistakes or damage?
Step 2:
The details of the solution are as follows:
[tex]\begin{gathered} Perimeter\text{ of the Rectangle = Length + Breadth + Length + Breadth} \\ Perimeter\text{ of the Rectangle = 22 + 20 + 22 + 20 = 84 feet} \end{gathered}[/tex]Then, we need to calculate 20% increase of 84 feet, we have that:
[tex]\begin{gathered} =(\frac{100\text{ + 20 \rparen}}{100}\text{ x 84 feet} \\ =\text{ }\frac{120}{100}\text{ x 84} \\ =1.\text{ 2 x 84} \\ \text{= 100. 8 feet} \end{gathered}[/tex]CONCLUSION:
The final answer is:
[tex]100\text{ . 8 feet}[/tex]Rewrite 4/9 and 7/15 so that they have a common denominator
find the equation of the line
Answer:
y = 1/2x + 1/2
Step-by-step explanation:
I'm going to give me answer is gradient/slope form :
To work out the gradient we make a triangle from the line and do :
change in y / change in x
You should get 1/2
Now we have y=1/2x + c
to work out c we substitute a point from the line and solve for c :
Point (1 , 1)
1 = 1/2(1) + c
1 = 1/2 + c
c = 1/2
So our final answer is y = 1/2x + 1/2
Hope this helped and have a good day
5-2x<11
i don’t know how to solve this
Answer:
x>3
Step-by-step explanation:
5-2x<11
subtract 5on both sides of the equation
-2x<11-5
-2x<6
divide through by n negative 2,and the equality will change
X>-3
Hello there! Let's solve this inequality for the required variable, which is x.
With the given inequality, it can't be done in just one step, however it can be done in a few steps, which are as follows:
Subtract 5 from both sides.[tex]\implies\boldsymbol{5-2x < 11}[/tex]
[tex]\implies\boldsymbol{-2x < 6}[/tex]
Divide both sides by -2. Remember to flip the inequality sign.[tex]\underbrace{\implies\boldsymbol{x > -3}}_\sf{answer}}[/tex]
I hope it helps, feel free to reach out if you have any queries :)
For each equation, choose Rational or Irrational to show your answer.
which term could be used to describe the graph of a line on a coordinate plane test points independent variable dependent variable or set of solutions
Cartesian Co-ordinate system is used to describe graph of a line along a plane to test independent variable vs dependent variable.
the answer is test points
1. A manufacturing line can produce 15 widgets
in 2 minutes. How many widgets can the line
procuce in 30 minutes?
Answer:
225
Step-by-step explanation:
number of 2 minutes in 30 minutes
= 30 ÷ 2 = 15
each 2 minutes produces 15 widgets , then
15 ( lots of 2 minutes ) produces 15 × 15 = 225 widgets
if you answer this question and the one before this question you will ahve good luck for 7 years!
if you dont, you will have bad luck. see attachment below and my question b4 this
Answer:x=32°
y=35°
Step-by-step explanation:
23°+32°+y=90°
55°+y=90°
y=35°
35°+23°+x=90°
58°+x=90°
x=32°
Answer:
Angle AOE = angle FOB = 32° (vertically opposite angles)
x = 32°
Since GH is a straight line, angle COH = angle COG = 90°
Angle BOD = angle COA = y° (vertically opposite angles)
y = 90-32-23 = 35°
The life expectancy of a new born kid increases at a rate of 1.5 years for every day the kid is alive during the first 60 days after being born. The expectancy reduces by 0.5 year for every day the kid is ill during these first 60 days. The initial life expectancy of a new born kid is 10 years. What is the life expectancy of a kid born on a Tuesday, after 37 days of being born (assume the kid is alive on the 37th day) if the kid falls ill on every Sunday?
The total life expectancy of the kid is 45.5 years.
rate of increase of life expectancy = 1.5 years per day
The rate of reduction of life expectancy = 0.5 years per day
37 days will mean ((7x5)+2), i.e., 5 complete weeks and 2 extra days.
Let the 2 extra days be Tuesday and Wednesday, now the 5 complete weeks will start from Thursday and after 37 days, the day will be Wednesday.
In this duration 5 Sundays will come on which the kid falls ill, so the reduction in life expectancy will be: 0.5 x 5= 2.5 years.
The remaining days will be: 37 - 5 = 32
So, the increase in life expectancy will be: 1.5 x 32= 48 years.
Thus, the total life expectancy of the kid is found to be : (48-2.5)years=45.5 years.
What are linear equations?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where y and x are the variables.
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Pls help i did'nt have time to do my h.w i have a test tm
Answer:
Step-by-step explanation:
The triangles are congruent because they have the same shape and size. They are also related in another way that I can't remember.
Keesha walks 12 blocks to school every day. One day, she counts 88 sidewalk squares in one block. If each block has the same number of sidewalk squares, how many squares does Keesha walk on as she walks to and from school each day?
Answer:
Step-by-step explanation:
If Keesha walks 12 blocks to school and its 88 squares in the sidewalk then you multiply 12 by 88 and get 1056:)
hope this helps ^^
Please answer Part A and B
Answer:
Part A is Figure D
Part B is 3 units left
Question
What is the expression after applying the distributive property?
−0.4(−2+(−9))
Enter your answer by filling in the boxes.
The expression after applying the distributive property, the formula becomes 0.8 + 3.6.
Describe algebra:Algebra is the study of mathematical symbols, while logic is the manipulation of those symbols.
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule is used.
When you combine the results of two or more arithmetic operations, the result is the same as when you multiply each addend individually by the quantity and then unite the resultant products.
Given below is the phrase.
= −0.4 (−2 + (−9))
Once the distributive property has been used, we have
= 0.8 + 3.6
The result of applying the distributive property will be the equation 0.8 + 3.6.
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