Graph of |x| = 2 is two vertical lines symmetric about the y-axis, intersecting x-axis at (2, 0) and (-2, 0).
The equation |x| = 2 represents two parallel vertical lines symmetrically positioned about the y-axis. These lines intersect the x-axis at points (2, 0) and (-2, 0), indicating the absolute value of x being equal to 2. The graph exhibits symmetry with respect to the y-axis, forming a V-shape.
It conveys that any value of x, whether positive or negative, yielding an absolute value of 2 satisfies the equation. The graph emphasizes the notion that the distance of x from the origin is fixed at 2 units, illustrating a clear geometric representation of the absolute value function.
jessie has n dollars in his bank account. he deposits $132 write an expression that represents the total amount jessie now has in hi account
Answer:
n+132
Step-by-step explanation:
Nick volunteer at the senior center each Saturday for 60 minutes and each Sunday for 40 minutes.He takes 2 weeks off every year . how many minutes does Nick volunteer in one year
Answer:
The total minutes Nick volunteer in a year are 5000 minutes.
Step-by-step explanation:
Given:
Nick volunteer Saturday for 60 minutes and each Sunday for 40 minutes. He takes 2 weeks off every year.
Now, how many minutes did he volunteer in one year.
So, in one year there are 52 weeks.
And, total weeks Nick volunteer are 50 in a year as he takes 2 weeks off every year.
And, total minutes in a week nick volunteer = 60+40= 100 minutes.
Now, for getting the total minutes Nick volunteer in a year, we multiply the total weeks he volunteer in a year from total minutes he volunteer in a week :
Total minutes Nick volunteer in a year = total weeks he volunteer in a year × total minutes he volunteer in a week
Total minutes Nick volunteer in a year [tex]=50\times 100\ minutes[/tex]
Total minutes Nick volunteer in a year [tex]=5000\ minutes[/tex]
Therefore, the total minutes Nick volunteer in a year are 5000 minutes.
A group of ten people were planning to contribute equal amount of money to buy some pizza. After the pizza was ordered one person left. Each of the other nine people had to pay 60 cents extra as a result. How many was the total bill?
Answer:
$54
Step-by-step explanation:
let the initial amount of money per person be x
let the total cost of the pizza be y
Before one person left:
10x = y ------------> (eq 1)
After one person left, each of the 9 remaining people had to pay $0.60 extra.
9(x+0.6) = y ----------(eq 2)
equating y from both equations
10x = 9(x+0.6)
10x = 9x+(0.6)(9)
10x = 9x + 5.4 (subtract 9x from both sides)
10x - 9x = 5.4
x = 5.4 (substitute this back into equation 1)
10x = y
y = 10(5.4) = $54
Final answer:
The total bill for the pizza was $54.00. Each of the ten people would have contributed $5.40, but after one person left, the remaining nine paid an additional 60 cents each.
Explanation:
When the tenth person left the group, the nine remaining people each had to pay 60 cents extra for the pizza. This means that the contribution of the tenth person would have been 9 times 60 cents, which is $5.40. To find the total bill, we also need to add the amount that the remaining nine people paid before the extra charge. Since each person originally was going to pay the same amount, this amount is also $5.40. Therefore, each of the 10 people would have paid $5.40 making the total bill 10 times $5.40, which equals $54.00.
+
A student earned 30 out of 35
points on an exam. C What percent
of the total points did the student
earn? Round to the nearest
percent
w
Kyle cut a 4 foot piece of rope into pieces that are 0.25 feet long how many pieces of rope did he cut?
Answer:
16 pieces.
Step-by-step explanation:
4/1/4=16
The number of pieces of rope he cut is 16 pieces.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The length of rope= 4foot
Length of each piece=0.25
Now,
To find the number of pieces of rope Kyle cut, we need to divide the length of the rope by the length of each piece:
number of pieces = length of rope / length of each piece
In this case, Kyle cut a 4 foot piece of rope into pieces that are 0.25 feet long, so we can plug these values into the formula:
number of pieces = 4 / 0.25
number of pieces = 16
Therefore, by algebra the answer will be 16 pieces.
More about the Algebra link is given below.
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3(x^2 + 5)(x^2 - 5) multiply and simplify.
Answer:
3x^4-75
Step-by-step explanation:
3(x^2+5)(x^2-5)
3(x^4+5x^2-5x^2-25)
3(x^4-25)
3x^4-75
Just multiply each term out and combine like terms.
is (1, 3), (2, 5), (2, 7), (4, 9) a function
Answer:
no becase the x value 2 has two y values 5 and 7. for it to be a function each x value can only have 1 y value
Step-by-step explanation:
Answer:
no it is not
Step-by-step explanation:
Jake tosses a coin up in the air and lets it fall to the ground. The equation that models the height (in feet) and time (in seconds) of the parabola is h(t)= -16t^2+ 24t+6. What is the height of the coin when Jake tosses it?
Final answer:
The height of the coin when Jake tosses it is 6 feet.
Explanation:
The equation that models the height and time of the parabola is [tex]h(t) = -16t^2 + 24t + 6.[/tex]
To find the height of the coin when Jake tosses it, we need to determine the height at time t = 0.
Plugging in t = 0 into the equation, we have [tex]h(0) = -16(0)^2 + 24(0) + 6[/tex]
= 6 feet.
So the height of the coin when Jake tosses it is 6 feet.
Help! Find the value of x, to the nearest hundredth.
I tried doing it and got 20,65 but I don't think I did it the right way, can anyone help me?
Help me !!! ASAP!!!
Answer:
the rate of change is 0.1
Step-by-step explanation:
the rate of change is the slope
which equals to (y2-y1)/(x2-x1)
(2.7-2.3)/(17-13)=0.1
1. If 1 cm represents 10 m, what are the actual measurements of the gym including
the closet?
2. What are the actual measurements of the closet?
3. If 1 cm represents 12 m, what are the actual measurements of the gym including
the closet?
4. What is the area of the gym?
Answer:
1) Actual Measurements of Gym = 50 m x 40 m
2)The actual measurements of the closet =20 m x 10 m
3) if 1 cm = 12 m the actual dimensions of the gym are : 60 m x 48 m
4) The area of the gym = 2000 sq m
Step-by-step explanation:
Here, the question is INCOMPLETE.
I am attaching the correct figure for the reference.
Here, The dimensions of Closet are = 2 cm , 1 cm
The dimensions of gym are = 5 cm , 4 cm
Now as the scale represents 1 cm = 10 m
So, the ACTUAL dimensions of the closet are :
2 cm = 2 x 1 cm = 2 x 10 m = 20 m
1 cm = 10 m
And, the ACTUAL dimensions of the gym are :
5 cm = 5 x 1 cm = 5 x 10 m = 50 m
4 cm = 4 x 1 cm = 4 x 10 m = 40 m
Now, solving the giver parts:
1) Actual Measurements of Gym = 50 m x 40 m
2)The actual measurements of the closet =20 m x 10 m
3) if 1 cm = 12 m
the ACTUAL dimensions of the gym are :
5 cm = 5 x 1 cm = 5 x 12 m = 60 m
4 cm = 4 x 1 cm = 4 x 12 m = 48 m
4) The area of the gym = LENGTH x WIDTH
= 50 m x 40 m = 2000 sq m.
Rewrite 27+36 using the GCF and distributive property
Answer:
27 + 36 = 9(3 + 4)Step-by-step explanation:
[tex]\text{Distributive property:}\ a(b+c)=ab+ac\\\\27=\boxed{9}\cdot3\\\\36=\boxed{9}\cdot4\\\\GCF(27,\ 36)=\boxed{9}\\\\\\27+36=\boxed{9}\cdot3+\boxed{9}\cdot4=\boxed{9}(3+4)[/tex]
The band at Brown High School sells tickets for catered dinners to raise money for field trips. Spaghetti dinner
tickets cost $7.25, and barbecue dinner tickets cost $8.75. The band sold twice as many spaghetti dinners as
barbecue dinners and raised $2,790. Which of the following sets of equations can be used to determine the number
of spaghetti dinner tickets, x, and the number of barbecue dinner tickets, y, sold?
x = 2y
7.25x + 8.75y = 2,790
2x = y
7.25x + 8.75y = 2,790
© x = 2y
8.75x + 7.25y = 2,790
© 2x = y
8.75x + 7.25y = 2,790
Answer: First option.
Step-by-step explanation:
Let be "x" the number of spaghetti dinner tickets sold and "y" the number of barbecue dinner tickets sold.
You know that 1 spaghetti dinner ticket costs $7.25; so the total amount of money earned selling these tickects can be represented with this expression:
[tex]7.25x[/tex]
Since 1 barbecue dinner ticket costs $8.75; the total amount of money earned selling them can be represented with this expression:
[tex]8.75y[/tex]
Knowing that the total amount of money the band raised was $2,790, we can write the following equation to represent this situation:
[tex]7.25x+8.75y=2,790[/tex]
The band sold twice as many spaghetti dinners as barbecue dinners, which means that the amount of spaghetti dinners sold was two times the amount of barbecue dinners sold.
This can be represented with this equation:
[tex]x=2y[/tex]
Therefore, the set of equations that can be used to find "x" and "y", is:
[tex]\left \{ {{x=2y} \atop {7.25x+8.75y=2,790}} \right.[/tex]
which of the following is the probability that a blue marble will NOT be selected from a bag containing 9 red marbles, 6 blue marbles, 7 green marbles, and 11 yellow marbles if one is selected randomly?
18%?
32%?
82%?
79%?
Answer:
82%
Step-by-step explanation:
The total number of marbles is 9 + 6 + 7 + 11 = 33. 6 marbles are blue, so 27 are not. So the probability of selecting a non-blue marble is 27/33 ≈ 82%.
The probability of NOT getting a blue marble is 82%.
What is probability?Probability denotes the possibility of the outcome of any random event.
Given that, a bag contains 9 red marbles, 6 blue marbles, 7 green marbles, and 11 yellow marbles, one is selected randomly, we need to find the probability that a blue marble will not be selected,
So, the probability of NOT event = 1-P(E)
Therefore,
The probability of getting a blue marble = 6/33 = 2/11
The probability of NOT getting a blue marble = 1-2/11 = 9/11
= 0.81818181 ≈ 82%
Hence, the probability of NOT getting a blue marble is 82%.
Learn more about probability click;
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Mr. Saunders along with his wife and two children checked in for a 6 day stay at Disney world hotel. If he was charged $882 per person for the 6 day stay, what is the average cost per person per day?
find a polynomial of degree 3 with real cofficients and zeros of -3,-1,4 for which f(-2)=24
[tex]\bf \textit{zeros at } \begin{cases} x = -3\implies &x+3=0\\ x = -1\implies &x+1=0\\ x = 4\implies &x-4=0 \end{cases}\qquad \implies (x+3)(x+1)(x-4)=\stackrel{y}{0} \\\\\\ (x^2+4x+3)(x-4)=0\implies x^3~~\begin{matrix}+ 4x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+3x~~\begin{matrix} -4x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-16x-12=0 \\\\\\ x^3-13x-12=0[/tex]
we know that f(-2) = 24, namely when x = -2, y = 24, let's see if that's true
[tex]\bf x^3-13x-12=y\implies \stackrel{x = -2}{(-2)^3-13(-2)-12}=y \\\\\\ -8+26-22=y \implies 6=y[/tex]
darn!! no dice.... hmmmm wait a second.... 4 * 6 = 24, if we could just use a common factor of 4 on the function, that common factor times 6 will give us 24, let's check.
[tex]\bf 4(x^3-13x-12)=y\implies \stackrel{x = -2}{4[~~(-2)^3-13(-2)-12~~]}=y \\\\\\ 4[~~-8+26-22~~]=y\implies 4[6]=y\implies 24=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 4x^3-52x-48=y~\hfill[/tex]
Help me!!!!!!! ASAP!!
Answer:
I got youuuu
Step-by-step explanation: what you need?
Answer:
Initial fee: 6 Dollars. Fee per Kilometer: 1.30588235294
Step-by-step explanation:
Divide 222/170=Fee per a Kilo
20 points , will mark brainiest :)
Answer:
A) The sum of given digits is 5417.412
B ) The sum of given digits is 401.103
Step-by-step explanation:
Given sum of numbers as :
A ) 5 × 10³ + 4 × 10² + 1 × [tex]10^{1}[/tex] + 7 × [tex]10^{0}[/tex] + 4 × [tex]\frac{1} {10^{1}}[/tex] + 1 × [tex]\frac{1}{10^{2}}[/tex] + 2 × [tex]\frac{1}{10^{3}}[/tex]
Or , 5000 + 400 + 10 + 7 × 1 + 0.4 + 0.01 + 0.002
or, ( 5400 + 10 + 7 ) + ( 0.4 + 0.01 + 0.002 )
Or, 5417 + 0.412
Or, 5417.412
Hence The sum of given digits is 5417.412
B ) 4 × 10² + 1 × ( 1 [tex]\frac{1} {10^{1}}[/tex] ) + 3 × [tex]\frac{1}{10^{3}}[/tex]
Or, 400 + 1 × ([tex]\frac{10+1}{10}[/tex] ) + 0.003
Or, 400 + [tex]\frac{11}{10}[/tex] + 0.003
Or, 400 + 1.1 + 0.003
Or, 401.103
Hence The sum of given digits is 401.103
Answer
Answer:
1) 5417.412
2) 401.13
Step-by-step explanation:
1) [tex]$ 5 \times 10^3 + 4 \times 10^2 + 1 \times 10^1 + 7 \times 10^0 + 4 \times \frac{1}{10^1} + 1 \times \frac{1}{10^2} + 2 \times \frac{1}{10^3} $[/tex]
[tex]$ 5 \times 10^3 = 5000 $\\ $ 4 \times 10^2 = 400 $ \\ $ 1 \times 10^1 = 10 $\\$ 7 \times 10^0 = 7 \times 1 = 7 $\\$ 4 \times \frac{1}{10^1} = 0.4 $\\$ 1 \times \frac{1}{10^2} = 0.01 $\\ $ 2 \times \frac{1}{10^3} = 0.02 $ \\[/tex]
Combining we have: [tex]$ 5000 + 400 + 10 + 7 + 0.4 + 0.01 + 0.002 = $[/tex] 5417.412.
2) [tex]$ 4 \times 10^2 + 1 \times 1\frac{1}{10^1} + 3 \times \frac{1}{10^2} $[/tex]
[tex]$ 4 \times 10^2 = 400 $\\$ 1 \times 1\frac{1}{10^1} = 1 \times \frac{11}{10} = 1 \times 1.1 = 1.1 $\\$ 3 \times \frac{1}{10^2} = 0.03 $[/tex]
Combining we have: 400 + 1.1 + 0.03 = 401.13.
Hence, we have the answers.
Abel has 3,330 toothpicks. He wants
to use them all to make a floor mat with 18 equal rows.
Use the bar diagram to write a division equation. Then
solve the equation to find how many toothpicks Abel
should use in each row.
Answer:
3,330/18=185
so
185 columns*18 rows
3,330/18=185
so
185 columns*18 rows
What is the method for calculating what percentage a number is of another number
Answer:
To calculate percentages, start by writing the number you want to turn into a percentage over the total value so you end up with a fraction. Then, turn the fraction into a decimal by dividing the top number by the bottom number. Finally, multiply the decimal by 100 to find the percentage.
Step-by-step explanation
To calculate what percentage one number is of another, divide the 'part' by the 'total' and multiply by 100. This formula is used to convert a ratio into a percentage, which represents a part per hundred of the total.
The method for calculating what percentage a number is of another number involves a straightforward formula: 'part over total, times one hundred, equals percent'. For example, if a class has 35 students and 13 are wearing sandals, you would use the equation 13 divided by 35, multiplied by 100, to find the percentage. The calculation would be 13/35 x 100, which is 0.37 x 100, resulting in 37 percent of the students wearing sandals.
Calculating Percents
To express a fractional amount as a percent, you divide the numerator (the part) by the denominator (the total) and then multiply by 100. The percent symbol, %, is used to indicate that the number is a percentage of the total. For instance, 3 out of 4 can be written as 3/4, which is equal to 0.75, and when multiplied by 100 gives you 75%.
Another example is understanding voter registration percentages. If 10,458 out of 18,145 students registered to vote at a college, the equation to find the percentage would be 10,458/18,145 x 100, equal to 58 percent registration.
Ratio equivalent to 3 : 4
Answer:
8:6
Hope it helped. :)
Answer: 6:8
to Find any equivalent ratio, you multiply both numbers (in this example, 6 and 8) by the same number (in this example, 2).
what is angle a? ive already gotten the other side
Answer:
[tex]m\angle A=\tan^{-1}(\frac{m}{n})[/tex]
[tex]AB=\sqrt{m^2+n^2}[/tex]
Step-by-step explanation:
Given:
In Δ ABC
m∠C= 90°
[tex]BC=m[/tex]
[tex]AC=n[/tex]
For the triangle ABC we can apply trigonometric ratio to find m∠A.
We have:
[tex]\tan\angle A=\frac{BC}{AC}[/tex]
Substituting values of side BC and AC
[tex]\tan \angle A=\frac{m}{n}[/tex]
Taking inverse tan to get m∠A.
∴ [tex]m\angle A=\tan^{-1}(\frac{m}{n})[/tex]
AB can be found out using Pythagorean theorem:
AB being the hypotenuse can be written as
[tex]AB^2=BC^2+AC^2[/tex]
Substituting values of side BC and AC
[tex]AB^2=m^2+n^2[/tex]
Taking square roots both sides:
[tex]\sqrt{AB^2}=\sqrt{m^2+n^2}[/tex]
∴ [tex]AB=\sqrt{m^2+n^2}[/tex]
Two boats leave a port at the same time, one going north and the other traveling south. The northbound boat travels 18 mph faster than the southbound boat. If the southbound boat is traveling at 40 mph, how long will it be before they are 980 miles apart?
Answer:
10 hours
Step-by-step explanation:
Two boats leave a port at the same time, one going north and the other traveling south.
Southbound boat rate = 40 mph
The northbound boat travels 18 mph faster than the southbound boat.
Northbound boat rate = 40 + 18 = 58 mph
Two boats rate = 40 + 58 = 98 mph (this means they are apart 98 km after one hour)
Total distance = 980 miles
Total rate = 98 mph
Time [tex]=980:98=10[/tex] hours
You are putting 30 different bolts into bins according to the size of the bolt. So far, you have successfully put 10 bolts into bins, which is 1/3 of the total job. What is your answer when your supervisor asks, “Within 1%, what percent of the job is complete?”
Within 1% , 0.00333 % of the job is complete.
Step-by-step explanation:
The question requires you to find 1/3 of 1%
This is equal to 1/3*1% = 1/3 * 0.01 = 0.00333 % of the job is complete.
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Answer:
0.333 %
Step-by-step explanation:
1/3 expressed as a percentage is: 1/3 * 100 = 33.3 %
Given that the maximum possible percentage is 1, then we have to divide this result by 100 (because 100/100 = 1). So, 33.3 % is transformed into 33.3/100 = 0.333 %.
what is x2/3•x2/15 show your work
Answer:
[tex]\large\boxed{x^\frac{4}{5}}[/tex]
Step-by-step explanation:
[tex]x^\frac{2}{3}\cdot x^\frac{2}{15}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=x^{\frac{2}{3}+\frac{2}{15}}\qquad\text{LDC = 15}\\\\=x^{\frac{2\cdot5}{3\cdot5}+\frac{2}{15}}=x^{\frac{10}{15}+\frac{2}{15}}=x^{\frac{12}{15}}=x^{\frac{12:3}{15:3}}=x^\frac{4}{5}[/tex]
$210 bicycles; 25% discount
Answer: $157.50 is the sale price
Step-by-step explanation:
because there is a 25% discount, 75% of the regular price will be the sale price
75% x 210 = $157.50 is the sale price
which value is equivalent to the expression 2^3 + 3^4
Answer:
89
Step-by-step explanation:
2^3=2*2*2=8
3^4=3*3*3*3=9*9=81
8+81=89
Use the arithmetic series 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34) to answer each question. What is the common difference d of the arithmetic sequence on which the series is based? d =
Answer:
The difference (d) = - 8
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Arithmetic series : 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
2. What is the common difference d of the arithmetic sequence on which the series is based?
1st an 2nd element difference = 14 - 6 = 8
2nd and 3rd element difference = - 6 - 2 = -8
3rd and 4th element difference = - 2 + 10 = 8
4th and 5th element difference = -10 + 18 = 8
The difference (d) is 8 and it's negative because the series is lowering the previous value.
3. Proof of d = - 8
14 - 8 = 6
6 - 8 = - 2
- 2 - 8 = - 10
- 10 - 8 = - 18
- 18 - 8 = - 26
-26 - 8 = -34
Answers:
1st: -8
2nd: 14 + (k-1)(-8)
3rd: x=7 y= 22 z= -8
explanation:
i did it :))
What is M angle FAD?
Answer:
m∠FAD=48°
Step-by-step explanation:
we know that
The Perpendicular Bisector Theorem states that: A radius that bisect a chord is perpendicular to the chord
we have
FD=DE
The radius AC bisect the chord FE
so
AC is perpendicular to FE
The triangle FAD is a right triangle
m∠FAD+m∠AFD=90° ---> by complementary angles in a right triangle
we have
m∠AFD=42°
substitute
m∠FAD+42°=90°
m∠FAD=90°-42°
m∠FAD=48°
9 / 372 what is what is 9 / 372
Answer:
0.02419354838
"The answer to the question 9 divided by 372 is 0.02419.
To calculate [tex]\[ \frac{9}{372}[/tex] , simply divide the numerator (9) by the denominator (372):
[tex]\[ \frac{9}{372} = \frac{9}{372} \][/tex]
[tex]\[ \frac{9}{372}[/tex] = 0.02419
This fraction cannot be simplified any further because 9 and 372 do not have any common factors other than 1. So, [tex]\[ \frac{9}{372}[/tex] is already in its simplest form and its value in decimal is 0.02419.