If Mia is painting a fence that is 1625 meters long In the morning she painted 245 meter of the fence then she 1380 more she has left to paint
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Mia is painting a fence that is 1625 meters long
Morning she painted 245 meter of the fence
We need to find how much more she has left to paint
To find this we need to subtract 245 from 1625
1625-245
1380
Hence 1380 more she has left to paint
To learn more on Equation:
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Name Samantha cebolos Date 3/8/202 Kuta Software - Infinite Algebra 2 Absolute Value Inequalities Solse each inequality and graph its solution. 2) Ip+4158 1 onls 18 -12 -10 - - - belzaalila -8LPtube -2 -1 0 1 2 8 -BHL PLO
Let's begin by identifying key information given to us:
[tex]\begin{gathered} |5x|\le10 \\ \Rightarrow5x\le10 \\ =\frac{5}{5}x\le\frac{10}{5} \\ =x\le2 \\ \\ OR \\ |5x|\le10 \\ \Rightarrow-5x\le10 \\ =\frac{-5}{-5}x\le\frac{10}{-5} \\ =x\le-2 \\ \\ \therefore x\le\pm2 \end{gathered}[/tex]x is lesser than or equal to plus or minus 2
We will proceed to plot the graph
Tom wants to get to the playground at 2:30 p.m. It takes him 27 minutes to bike there.What time should Tom leave for the playground? Move numbers to the clock to show the time.0 1 2 3 4 5 6 7 8 9
SOLUTION
Tom wants to get to the playground at 2:30 p.m
if it take him 2
Of 100 students in a club,23 are freshman. What percent of the students are freshman ?
Answer
Percentage of students that are freshman = 23%
Explanation
Total number of students in a club = 100
Number of freshman = 23
Percentage of students that are freshman = [(Number of freshman)/(Total number of students in a club)] x 100
Percentage of students that are freshman = (23/100) x 100
Percentage of students that are freshman = 23%
Find the surface areaDo not round pleaseFormula: SA= 2 * 3.14 * r * h + 2 * 3.14 * r^2
Given:
The radius of cylinder is r = 2 yd.
The height of cylinder is h = 7.
Explanation:
The formula for the surface area of cylinder is,
[tex]S=2\pi rh+2\pi r^2[/tex]Substitute the values in the formula to determine the surface area.
[tex]\begin{gathered} S=2\cdot3.14\cdot2\cdot7+2\cdot3.14\cdot(2)^2_{} \\ =87.92+25.12 \\ =113.04 \end{gathered}[/tex]Answer: 113.04
according to the synthetic division problem below, which of the statements are true?
Looking at the Algorithm
We can see that
A) True
2 is one of the roots and the divisor of that Divison
B) False
When we plug into the function (x) the root the result is going to be zero
Since f(-2) = 5(-2)² -16(-2) +12 f(-2) = 20 +32 +12 f(-2) = 64 not equal to zero, then x = -2 is not the root
f(x) = -5x² -16x +12 has x_1= 2 and x_2= 6/5
C) False
Factoring f(x) = -5x² -16x +12 we'll have f(x) = (5x -6)(x-2)
D) True
For the previous explanation
E) True
Rewriting as a factored form we'll have f(x) = (5x -6)(x-2)/(x-2) = 5x -6
F) False
We can't find the same result as the previous one. by dividing by (x+2)
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65 % salt and Solution B is 90 % salt She wants to obtain 140 ounces of a mixture that is 85 % salt How many ounces of each solution should she use?
Given:
a.) Solution A is 65% salt
b.) Solution B is 90% salt
c.) She wants to obtain 140 ounces of a mixture that is 85% salt.
Let x = the number of ounces of Solution A
Let y = the number of ounces of Solution B
x + y = 140
y = 140 - x (Eq. 1)
0.65x + 0.90y = 0.85(140)
0.65x + 0.90y = 119
(0.65x + 0.90y = 119) x 100
65x + 90y = 11,900 (Eq. 2)
Substitute Eq. 1 to Eq. 2
65x + 90y = 11,900
65x + 90(140 - x) = 11,900
65x + 12,600 - 90x = 11,900
65x - 90x = 11,900 - 12,600
-25x = -700
-25x/-25 = -700/-25
x = 28 ounces
y = 140 - x
y = 140 - 28
y = 112 ounces
Therefore, you will be needing 28 ounces of Solution A and 112 ounces of Solution B.
Show that the function g(x)=x-2/5 is the inverse of f(x)=5x+2Step 1: the function notation f(x) can be written as a variable in an equation. Is that variable x or y?Write f(x)=5x+2 as an equation with the variable you chose above.Step 2: switch the variables in the equation from Step 1. Then solve for y. Show your work.Step 3: Find the inverse of g(x)= x-2/5. What does this tell you about the relationship between f(x)=5x+2 and g(x)? Show your work.
Given that :
[tex]f(x)\text{ = 5x + 2}[/tex]We can prove that :
[tex]g(x)\text{ = }\frac{x\text{ -2}}{5}[/tex]is it's inverse doing the following:
Step 1. Set y = f(x):
[tex]y\text{ = 5x + 2}[/tex]Step 2. Switch the variables:
[tex]x\text{ = 5y + 2}[/tex]Then we solve for y:
[tex]\begin{gathered} 5y\text{ = x - 2} \\ \text{Divide both sides by 5} \\ y\text{ = }\frac{x\text{ -2}}{5} \end{gathered}[/tex]Step 3. The inverse of :
[tex]g(x)\text{ = }\frac{x-2}{5}[/tex]can be found in a similar way.
[tex]\begin{gathered} y\text{ = }\frac{x-2}{5} \\ x\text{ = }\frac{y-2}{5} \\ \text{Cross}-\text{Multiply} \\ 5x\text{ = y -2} \\ y\text{ = 5x + 2} \end{gathered}[/tex]This tells us that f(x) and g(x) are one to one functions are f(x) is the mirror image of g(x)
What are the domain and range of the function f(x)=2x+1?domain: (0.00)range: (-0.00domain: (-0.00)range: (0.co)domain: (-0.00)range: (2.00)domain: (0.00)range: (2.0)
The given function is expressed as
f(x) = 2^(x + 1)
The domain of a function is the set of all the possible values of x that would satisfy the function.
The range of a function is the set of all the possible values of y that would satisfy the function.
Since the fuction has no denominator or even root, the values of can be all real numbers. This means that the domain would be between - infinity and infinity
For the range, no matter how small the value of x that we input into the function, the value of f(x) or y would never be lesser than zero. Also, there is no limit to the value of f(x) even if we input very large values of x. Thus, the range is between 0 and infinity. Thus,
the correct option is the second one
5. What is the order of magnitude for the total weight of 5 cars that weigh 3,000 pounds each?6. 20,000 people voted in each county, and there are 7 counties. What is the order of magnitude for the total number of people who voted?
An order of magnitude is the class of scale of any amount in which each class contains values of a fixed ratio to the class preceding it. Usually, the amount scaled is 10, and the scale is the exponent applied to this amount.
Question 5
The weight of each car is 3,000 pounds. There are 5 cars in total. Therefore, the total weight is given to be:
[tex]\Rightarrow3000\times5=15000\text{ pounds}[/tex]Writing the calculated weight in standard form, scaling to 10, we have:
[tex]15000=1.5\times10^4[/tex]Therefore, the order of magnitude is 4.
Question 6
The number of people that voted per county is 20,000. There are 7 counties in total. Therefore, the total number of people that voted is:
[tex]\Rightarrow20000\times7=140000[/tex]Writing the calculated number in standard form, scaling to 10, we have:
[tex]140000=1.4\times10^5[/tex]Therefore, the order of magnitude is 5.
Question 10How many area codes of the form (XYZ)are possible if the digit 'X' and 'Y' can beany number 1 through 9 and the digit 'Z'can be any number 2 through 9?
find the lettered side e cm
Answer:
[tex]\sqrt{122}\approx{11.05}[/tex]
Step-by-step explanation:
In any right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse. This is commonly represented by the equation [tex]a^2+b^2=c^2[/tex].
In the triangle on the left:
[tex]a^2+b^2=c^2[/tex]
[tex]5^2+9^2=c^2[/tex]
[tex]25+81=c^2[/tex]
[tex]106=c^2[/tex]
[tex]\sqrt{106}=c[/tex]
The hypotenuse of the triangle on the left becomes a leg of the triangle on the right, so we repeat the process:
[tex]a^2+b^2=c^2[/tex]
[tex]4^2+(\sqrt{106})^2=c^2[/tex]
[tex]16+106=c^2[/tex]
[tex]122=c^2[/tex]
[tex]\sqrt{122}=c[/tex]
[tex]c\approx{11.05}[/tex]
What is the value of x?
SOLUTION
The principle behind the Exterior Angle Theorem is that:
the sum of two interior angles is equal to one exterior angle.
In this question, we have that :
X + ( X - 48 ) = X + 50
Collecting like terms, we have that:
2 X - 48 = X + 50
2X - X = 50 + 48
X = 98 Degrees.
CONCLUSION: The value of X = 98 Degrees.
Mr.Foltz has a box for gym class. In the box are 5 basketballs, 9 softballs, 12 volleyballs, and 23 soccer balls. what is the ratio of the vollyballs to basketballs?
the first square is 3 cm by blank centimeters in the other square 13 .5 them by 9 cm what is the scale factor going from the smallest rectangle to the largest one. ans what is the missing side.
Answer:
Step-by-step explanation:
DO ev ew 1 A local business is installing a ramp to the back door of t the ramp is 80 inches while the vertical height of the ran What is the approximate degree measure of the angle of 2
Using the given information, let's make a diagram
To find x, we just have to use the sine function which is equivalent to the ratio between the opposite leg and the hypotenuse.
[tex]\begin{gathered} \sin x=\frac{20}{80}=\frac{1}{4} \\ x=\sin ^{-1}(\frac{1}{4}) \\ x\approx14 \end{gathered}[/tex]Hence, the angle of elevation is 14°.There are 15 pieces of the same size candy in a bag. Four are banana flavored, three strawberry flavored, and two orange flavored. What would be the probability of picking an orange or a cherry flavored candy from the bag? Write your answer as percent rounded to the nearest tenth.
Given:
Total number of candy in a bag is 15.
Number of orange flavored candy is 2
Number of cherry flavored candy is 6
Let A be the event of picking an orange or a cherry flavored candy from the bag.
[tex]\begin{gathered} n(A)=2+6 \\ n(A)=8 \end{gathered}[/tex][tex]P(A)=\frac{8}{15}[/tex][tex]\begin{gathered} \text{Percentage}=\frac{8}{15}\times100 \\ \text{Percentage}=53.3\text{ \%} \end{gathered}[/tex]Two-thirds of the people on a hike are adults. If there are 36 adults, what isthe total number of people on the hike?
You have the following information:
- Two-thirds (which means 2/3) of the people on a hike are adults.
- There are 36 adults
In order to calculate the number of people, you consider that 36 is 2/3 of the total people. If you name x as the total people, the number of adults is 2/3x. Thus, you can write the following algebriac expression:
2/3 x = 36
you solve the previoues equation for x. First, you multiply both sides by 3 and you divide both sides by 2.
x = 36(3/2) = 108/2 = 54
Hence, the number of people on the hike is 54
if you walk 200 meters in 1 minute, 400 meters in 4 minutes and 800 meters in 10 minutes find your average velocity for the whole walk
First, calculate each velocity:
[tex]v=\frac{distance}{time}[/tex]so:
[tex]v1=\frac{200m}{1min}[/tex][tex]v2=\frac{400m}{4min}=\frac{100m}{min}[/tex][tex]v3=\frac{800m}{10min}=\frac{80m}{min}[/tex]Now calculate the average between the 3 velocities:
[tex]av\text{ }v=\frac{200+100+80}{3}=\frac{126.67m}{min}[/tex]The answer is 126.67 m per minute.
I need to do the “use vocabulary in writing part” But if I can get help with all that would be much appreciated
• The same-side interior angles ∠A, and ∠B are congruent orderly to ∠D and ∠F.
And the Remote interior angle ∠C from ΔABC is congruent to the Remote Interior angle ∠D of triangle ΔDEF.
1) As congruent triangles have three congruent angles and sides in order, then we state that, using this specific vocabulary:
2) Δ ABC is congruent to ΔDEF, because
• The same-side interior angles ∠A, and ∠B are congruent orderly to ∠D and ∠F.
And the Remote interior angle ∠C from ΔABC is congruent to the Remote Interior angle ∠D of triangle ΔDEF.
3) Hence, that's the answer.
ze space below the questo8. Each of the 10 floors in the largebuildings has 8 windows on the front andon the back and 4 windows on each ofthe 2 sides. A cleaning contractor willwash the windows for $6 each. What isthe cost of washing all the windows inthe 22 large buildings?
Step 1
Find the number of windows on each floor
In a large building, there are 10 floors, each floor has the following;
[tex]\begin{gathered} 8\text{ windows }in\text{ the front} \\ 8\text{ windows in the back} \\ 4\text{ windows on the side to the right} \\ \text{and} \\ 4\text{ windows to the side on the left} \\ \text{Therefore, each floor has 24 windows} \end{gathered}[/tex]Step 2
Find the number of windows in a large building
[tex]\begin{gathered} \text{There are 10 floors,} \\ \text{Number of windows in each large building = 10 }\times24\text{ = 240 windows} \end{gathered}[/tex]Step 3
Find the cost the cleaning contractor will take to clean the windows in each building.
[tex]\text{\$}6\text{ }\times240\text{ = \$}1440[/tex]Step 4
Find the cost of cleaning all the windows in 22 large buildings
[tex]22\times\text{ \$}1440=\text{ \$}31,680[/tex]Hence, the cost of washing all windows in the 22 large buildings = $31,680
1+1 I dont know what's the answer
We are given the following operation
[tex]1+1[/tex]The result of this operation is the addition of one and another one that is by definition 2, we represent it like thio
On election day the polls open at 7:30 am and closes at 9pm. Marlene worked all day exceptfor a break at lunch 10:30 am to 12 pm and dthen break for dinner at 5:30 pm to 7 pm. Marleneworked What fraction of the time that the polls were open?(a) 4/7(b) *(C) ?(d)?(e) ?
ANSWER;
The fraction of the time she worked was 7/9 of the time the polls were opened
EXPLANATION;
Here, we want to get the fraction of the time in which Marlene worked
What we have to do here is to calculate the total time the pool was opened, then calculate the total time in which she went for break. Then we divide the break time by the total opening time
We proceed as follows;
From 7 : 30 am to 9pm
7:30 am to 9:30 pm is 14 hours
Kindly note that we are to subtract 30 minutes, so we have the total time as 13 hours and 30 minutes
For ease of calculations, we shall have all the time in minute
Recall, 60 minutes are in an hour
So, in 13 hours, we have 13(60) = 780 minutes
Added to the 30, we have a total of 780 minutes + 30 minutes = 810 minutes
Break Times
The first break is 10; 30 am to 12 pm; that is a total time of 1 hour 30 minutes
The second break is from 5:30 pm to 7 pm; that is another 1 hour 30 minutes
Total time spent on breaks is 3 hours
Converting to minutes, we simply multiply by 60 and that will give 3(60) = 180 minutes
Thus, we can now proceed to divide;
[tex]\frac{180}{810}\text{ = }\frac{6}{27}\text{ = }\frac{2}{9}[/tex]The above is the fraction spent on breaks. To get the farction worked, we simply subtract the above fraction from 1
We have this as;
[tex]1\text{ - }\frac{2}{9}\text{ = }\frac{7}{9}[/tex]find the area of each Lister answer exact form and approximate form
In the given circle, The diameter of the circle is 8 in
Radius is the half of the diameter,
Radius = Diameter/2
Radius = 8/2
Radius = 4 in
Area of the circle with radius r is express as :
[tex]\text{ Area of Circle =}\Pi(radius)^2[/tex]Substitute the value of radius = 4in
[tex]\begin{gathered} \text{ Area of Circle =}\Pi(radius)^2 \\ \text{ Area of Circle =}\Pi\times4\times4 \\ \text{ Area of Circle = 50.27 in}^2 \end{gathered}[/tex]Area of the circle is 50.27 in²
Answer : Area of the circle is 50.27 in²
the arithmet mean of 20, 30, 45, x is 35 what is x?
Answer:
x is 45===================
The mean is:
(20 + 30 + 45 + x)/4 = 35Simplify and solve for x:
(95 + x)/4 = 3595 + x = 4*3595 + x = 140x = 140 - 95x = 45Answer:
x = 45
Step-by-step explanation:
Formula we use,
→ (Sum of numbers/Total numbers) = 35
Now the value of x will be,
→ (Sum of numbers/Total numbers) = 35
→ (20 + 30 + 45 + x)/4 = 35
→ (95 + x)/4 = 35
→ 95 + x = 35 × 4
→ x = 140 - 95
→ [ x = 45 ]
Hence, the value of x is 45.
1 14 แ li ! 14 badute Value ineguanten NM แจls แทนเจ 1 ปี 58 หมอยอด | |44| |14 นางอ 24.122 (Mitr 5.1 \\\\\ย - 5 \\
This implies that
[tex]\begin{gathered} 10b\text{ +7 }>\text{ 37} \\ or \\ 10b\text{ +7 <-37} \end{gathered}[/tex][tex]\begin{gathered} \text{if 10b + 7>37} \\ \text{then 10b >37-7} \\ 10b\text{ >30} \\ b\text{ >}\frac{30}{10} \\ b\text{ >3} \end{gathered}[/tex][tex]\begin{gathered} \text{if 10b + 7<-37} \\ 10b\text{ <-37-7} \\ 10b<-44 \\ b<\frac{-44}{10} \\ b<-4.4 \end{gathered}[/tex]Combining them we have
-4.4
Now to the graph
The area of the triangle below is 24.75 square centimeters. What is the length of the base?
Okay, here we have this:
Considering the provided figure and information, we are going to calculate the requested measure, so we obtain the following:
So to calculate the length of the base, we will solve in the formula for the area of the triangle, we have:
Triangle Area=(Base*height)/2
Triangle Area*2=Base*height
Base=(Triangle Area*2)/height
Let's replace:
[tex]\begin{gathered} Base=(24.75cm^2\cdot2)\frac{\placeholder{⬚}}{5.5cm} \\ =\frac{49.5cm^2}{5.5cm} \\ =9cm \end{gathered}[/tex]Finally we obtain that the length of the base of triangle is 9 cm.
15. Which of the following is the equation of the graph below? (2 points) y - - 3 2 -10 1 2 3 4 5 (A) y = -2x + 4 (B) y = 2x + 4 (C) y = -x - 2 (D y = -2x - 2
need help with this question please parts 2 and 3
Given:
[tex]p(x)=3(x+3)^3+2[/tex](a) The parent function of p(x) is the cubic function:
[tex]y=x^3[/tex](b) To produce p(x) from y, we need to perform the following transformations in order:
* Shift to the left 3 units. This gives the function:
[tex]y=(x+3)^3[/tex]* Stretch vertically by a factor of 3. This gives the function:
[tex]y=3(x+3)^3[/tex]* Shift upward 2 units. This gives the final function:
[tex]p(x)=3(x+3)^3+2[/tex](c) The graphs of the parent function (in blue) and the transformed function (in red) are shown below:
Solve each system by substitution.8). -7x-2y=-13x-2y=11
We have the following:
[tex]\begin{gathered} -7x-2y=-13 \\ x-2y=11 \end{gathered}[/tex]solving by substitution:
[tex]\begin{gathered} x-2y=11\Rightarrow x=11+2y \\ \text{replacing} \\ -7\cdot(11+2y)-2y=-13 \\ -77-14y-2y=-13 \\ -16y=-13+77 \\ y=\frac{64}{-16} \\ y=-4 \end{gathered}[/tex]now, for x
[tex]\begin{gathered} x=11+2\cdot-4 \\ x=11-8 \\ x=3 \end{gathered}[/tex]The solution is
[tex](3,-4)[/tex]Hello can you please help me out with this question please
Explanation: There are different ways to solve this problem but let's focus on just one. When we have a division multiplied by a number we can always consider the following
Step 1: Once we understand that we can solve by models as follows
First, let's solve the numerator (our multiplication)
Step 2: Once our numerator 3 x 12 = 36 now we have
[tex]\frac{36}{4}[/tex]Now we can solve our division as follows
As we can see above, we have 36 blue boxes divided into 4 red larger boxes equally which gives us 9 blue boxes for each of the red boxes. It means 36/4 = 9.
Final answer: So our final answer is
[tex]\frac{3}{4}\cdot12=9[/tex].