Answer: Absolute Value
Step-by-step explanation:
The | | is a symbol for absolute value. This signifies that the number inside would be positive. Now, this doesn't mean it will always be a number inside absolute value bars. It can also be expressions.
Examples:
|1|: Even though the number inside is a positive 1, we know that it cannot be negative under any circumstances. The only exception would be if there was a negative sign on the outside of the absolute value.
|-1|: We see that there is a -1 in the absolute value. This means that it is actually a 1, not -1. The absolute value is what makes everything inside positive.
|1-5|: To solve this, we know that 1-5=-4. Without the absolute value, the answer -4 would be correct. In this case, we have absolute value, so the answer is actually 4.
|x+2|: x+2 can easily be negative. This would happen is x was a negative number that is smaller than -2. x+2 can also be positive, but the absolute value guarantees that the ending result must be positive.
solve 3(11)× =3,993 for x
Hi there! :)
Answer:
[tex]\huge\boxed{x = 3}[/tex]
Given the equation:
[tex]3(11)^{x} = 3993[/tex]
Divide both sides by 3:
[tex](11)^{x} = 1331[/tex]
Rewrite both sides of the equation with a base of 11.
[tex]1331 = 11^{3}[/tex], therefore:
[tex](11)^{x} = 11^{3}[/tex]
x = 3.
Answer:
121
Step-by-step explanation:
121 x 33 = 3993
Evaluate the following expression.
28 – 10 – 15 = 3 =
and this is the order of operations
Answer:
28 - 10 - 15 - 3
=> 18 - 15 - 3
=> 3 - 3
=> 0
Another way:
=> 28 - 10 - 15 - 3
=> 28 - 25 - 3
=> 28 - 28
=> 0
It takes a copy machine 6 minutes to complete a job. How many minutes are left on a job if 2/3 of the job is now complete?
2/3 of the job was completed in 4 minutes. the job left will be completed in 2 minutes
choose the function where the graph is given below
Answer:
B
Step-by-step explanation:
You could've graphed your choices and find which one is a perfect match.
What is the value of the expression below when x = 5 and y = 2?
X + 6y
The value of the expression x + 6y when x = 5 and y = 2 is 17.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
x + 6y
When x = 5 and y = 2
= x + 6y
= 5 + 6 x 2
= 5 + 12
= 17
Thus,
The value is 17.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
PLEASE HELP!!!!!! URGENT!!!!!!!!! ALGEBRA! Hannah, Yu, and Becky went to buy groceries together. All three of them bought pasta, noodles, and split peas. Hannah bought 3 packs of pasta, 10 packs of noodles, and 2 packs of split peas. Yu bought 5 packs of pasta, 12 packs of noodles, and 1 pack of split peas. Becky bought 3 packs of pasta, 15 packs of noodles, and 2 packs of split peas. Hannah, Yu, and Becky spent $8.41, $9.42, and $9.66 respectively on these items. What are the costs of a pack of pasta, a pack of noodles, and a pack of split peas? A) Pasta: $0.69 per pack, Noodles: $0.25 per pack, Split peas: $0.99 per pack B) Pasta: $1.09 per pack, Noodles: $0.20 per pack, Split peas: $1.97 per pack C) Pasta: $0.99 per pack, Noodles: $0.25 per pack, Split peas: $1.47 per pack D) Pasta: $0.69 per pack, Noodles: $0.20 per pack, Split peas: $1.97 per pack
Answer:
option d
sorry it took so long.
Simplify cos^2theta(1+ tan^2theta)
Answer:
1
Step-by-step explanation:
We will use x instead of theta
● cos^2 x *(1+tan^2x)
We khow that: 1+ tan^2 x = 1/cos^2 x
Replace 1+tan^2 x by the new expression
● cos^2 x (1/cos^2 x)
● cos^2x/ cos^2 x
● 1
Chuck goes to a community college there is an enrollment fee of 207.55 plus 223.07 per credit hour which eqaution shows C the total cost of attending the community college for x credit hour
Answer:
C = 207.55 + 223.07x
Step-by-step explanation:
Given the following :
Cost of community college:
Enrollment fee = 207.55
Fee per credit hour = 223.07
Attending the community College for 'x' credit hours can be represented by:
Total cost = C
[Enrollment fee + (fee per credit hour * number of credit hours)]
Number of credit hours = x
C = [207.55 + (223.07 * x)]
C = 207.55 + 223.07x
Therefore, the total cost 'C' of attending the community college for 'x' credit hour:
C = 207.55 + 223.07x
Today, Ling is going to an art museum to see a special exhibit. It takes Ling 45 minutes to walk to the subway station. She will ride the subway for 45 minutes and then walk 15 minutes to the art museum. If Ling needs to be at the art museum by 9:30 A.M., what is the latest time she can leave her house?
Answer: 7:55
Step-by-step explanation: in total the journey is 105mins so if she has to reach by 9:30. Then she has to leave her house 105mins before 9:30
The combined weight of three basset hounds is 185 pounds. The two smaller dogs weigh the same. The difference between the larger weight and the smaller weight is 20 pounds. How many pounds does the largest dog weigh?
Answer:
75 pounds
Step-by-step explanation:
(x) + (x) + (x+20) = 185
3x + 20 = 185
3x = 165
x = 55
Large dog = 55 + 20 = 75
PLEASE HELP MEEE How can a company use a scatter plot to make future sale decisions
Answer:
by tracking data of how much money was made on one product in a certain amount of time
Step-by-step explanation:
Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What are all the possible lengths TO? Enter the possible values, separated by commas.
===========================================
Explanation:
Refer to the diagram below.
In order for triangle TOP to be isosceles, the missing side x must be either 5 or 7. This way we have exactly two sides that are the same length.
--------
If TP = 5, then the value of y could be either 5 or 11 to ensure that triangle TIP has exactly two sides the same length.
If TP = 7, then y = 7 or y = 11 for similar reasons.
--------
Therefore, the possible lengths for segment TO are 5, 7, and 11.
Answer:
7, 11
Step-by-step explanation:
its right- trust me-
Please help...Will give brainiest
Answer:
19.45
Step-by-step explanation:
The median is the middle number. Put the data in order from smallest to largest
16.3, 17.8,17.8 ,18.0, 18.7,19.3, 19.6,20.1,20.5, 21.9, 25.2 ,25.4
There are 12 pieces of data,
16.3, 17.8,17.8 ,18.0, 18.7,19.3, 19.6,20.1,20.5, 21.9, 25.2 ,25.4
The median lies between the 6th and 7th piece
Add the 6th and 7th together and divide by 2
(19.3+19.6)/2 =19.45
Answer:
[tex]\large \boxed{\mathrm{19.45}}[/tex]
Step-by-step explanation:
Median of a data set is the middle value.
The data is to be arranged from smallest to largest.
16.3, 17.8, 17.8, 18.0, 18.7, 19.3, 19.6, 20.1, 20.5, 21.9, 25.2, 25.4
Find the middle value.
16.3, 17.8, 17.8, 18.0, 18.7, 19.3, 19.6, 20.1, 20.5, 21.9, 25.2, 25.4
Average the two middle numbers.
(19.3+19.6)/2 = 19.45
The median of the data set is 19.45.
Pls answer this question as soon as possible
Answer:
The answer is -½.
✌ yeah it is ✌
Nathan, a tutor, buys 5 calculators for $7.50 each at a store, planning to provide one to each of his clients. However, the next day, he discovers that the same calculators has gone on sale for $5.00 and also discovers that he will only have three tutoring clients instead of five. He returns the five calculators and purchases three calculators at the new sale price. He uses the following expression to determine the amount he should receive back from the store. (5 x $7.50) - (3 x $5.00) Which of the following expressions could Nathan have used. 5 ($7.50 - $5.00). $7.50 - $5.00. (5 x $7.50) - $5.00. (5 x $7.50) - $5.00. 3 ($7.50 - $5.00) +2 x $7.50
Answer: 5 (7.50-3 )
Step-by-step explanation:
Given: Previous price of calculator = $7.50
Number of client =5
Total price = (Number of calculators) x (Price for each calculator)
Total price of 5 calculators = (5 x $7.50)
New price of calculator = $5.00
Number of client =3
Total price of 3 calculators = (3 x $5)
Price will receive = (Total price of 5 calculators) -(Total price of 3 calculators )
= (5 x $7.50) - (3 x $5)
= 5 (7.50-3 )
Required expression: 5 (7.50-3 )
Consider 6x2 + 6x + 1. Which term immediately tells you that this expression is NOT a perfect square trinomial? Justify your answer.
Answer:
Step-by-step explanation:
The 6x^2 because 6 is not a perfect square.
Answer:
6x^2
Step-by-step explanation:
6 isn't a perfect square
3/v=2/4? i need help plz
Answer:
v = 6
Step-by-step explanation:
3/v = 2/4
We can use cross products to solve
2v = 3*4
2v = 12
Divide each side by 2
2v/2 = 12/2
v =6
Answer:
v=6
Step-by-step explanation:
If this is making them equal, then you should know that 2/4 is 1/2 , so you could just multiply 3 by both the 1 and the 2 in 1/2 and 1 times 3 is 3 which is what we have and 2 times 3 is 6 which is v.
4x- 3y = -13 -x + 6y = -44
Answer:
3x and 9y and -31 is the correct answer if you are bloviating.
Step-by-step explanation:
bloviate the factors of x and y.
this is progression
i need to know C plsssss
thankssssssssssßsssssss
Answer:
[tex]l = 28[/tex]
Step-by-step explanation:
Given
[tex]S = \sum (2k - 3); k = 4\ to\ l[/tex]
Required
What is l when S = 725
This can be solved using Sum of n terms of an AP;
[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]
Where
[tex]S_n = 725[/tex]
[tex]T_1 = first\ term[/tex]
To get T1; we substitute 4 for k in 2k - 3
[tex]T_1 = 2 * 4 - 3[/tex]
[tex]T_1 = 8 - 3[/tex]
[tex]T_1 = 5[/tex]
[tex]T_n = last\ term[/tex]
To get Tn; we substitute l for k in 2k - 3
[tex]T_n = 2 * l - 3[/tex]
[tex]T_n = 2l - 3[/tex]
n = the number of terms;
Since k = 4 to l, then
[tex]n = l - 4 +1[/tex]
[tex]n = l - 3[/tex]
Substitute these values in [tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]
[tex]725 = \frac{l-3}{2}(5 + 2l - 3)[/tex]
Collect Like Terms
[tex]725 = \frac{l-3}{2}(2l + 5- 3)[/tex]
[tex]725 = \frac{l-3}{2}(2l + 2)[/tex]
Open the bracket
[tex]725 = \frac{l-3}{2} * 2l + \frac{l-3}{2} * 2[/tex]
[tex]725 = (l-3) * l + (l-3)[/tex]
[tex]725 = l^2-3l + l-3[/tex]
[tex]725 = l^2-2l -3[/tex]
Subtract 725 from both sides
[tex]725 - 725 = l^2-2l -3 - 725[/tex]
[tex]l^2-2l -3 - 725 = 0[/tex]
[tex]l^2-2l - 728 = 0[/tex]
[tex]l^2 + 26l - 28l - 728 = 0[/tex]
[tex]l(l + 26) - 28(l + 26) = 0[/tex]
[tex](l - 28)(l + 26) = 0[/tex]
[tex]l - 28 = 0[/tex] or [tex]l + 26 = 0[/tex]
[tex]l = 28[/tex] or [tex]l = -26[/tex]
But l must be positive;
Hence, [tex]l = 28[/tex]
2x/9 +x/3 = 13/6, solve for x
Answer:
x = 3 9/10
Step-by-step explanation:
2x/9 +x/3 = 13/6
Get a common denominator on the left side
2x/9 + x/3 *3/3 = 13/6
2x/9 + 3x/9 = 13/6
5x/9 = 13/6
Multiply each side by 9/5 to isolate x
5x/9 *9/5 = 13/6 * 9/5
x = 117/30
Divide the top and bottom by 3
x = 39/10
x = 3 9/10
Answer:
[tex]\bold{\red{\boxed{\blue{ x = 3.9}}}}[/tex]
Step-by-step explanation:
[tex] \frac{2x}{9} + \frac{x}{3} = \frac{13}{6} \\ \frac{2x + 3x}{9} = \frac{13}{6} \\ \frac{5x}{9} = \frac{13}{6} \\ use \: \: cross \: \: multipication \\ 5x \times 6 = 9 \times 13 \\ 30x =11 7 \\ \frac{30x}{30} = \frac{117}{30} \\ x = 3.9[/tex]
Olivia has 4 2/3 yards of fabric to make scarves. She needs 3/4 yards for one scarf. How many
scarves can she make?
Answer:
6 scarves
Step-by-step explanation:
So we know that 3/4 yd. = 1 (scarf)
We have 4 2/3 material to make the scarves
=> convert to an improper fraction 4 2/3 = 14/3
=> Divide material by needed amt.
=> 14/3 / 3/4 = 14/3 x 4/3=> 14/3 x 4/3 = 56/9
56/9 = 6 2/9
But 6 2/9 is not our answer. Since we need a full amt. of scraves, we round down to our final answer of 6 scarves.
Hope this helps!
Please help me solve this. With Reasoning
6 2/5 - 4 2/3
Answer:
1 and 11/15.
Step-by-step explanation:
To solve, we can separate the integers from the fractions.
(6 - 4) + (2/5 - 2/3)
= 2 + (6/15 - 10/15)
= 2 + (-4/15)
= 1 + 15/15 - 4/15
= 1 + 11/15
= 1 and 11/15
Hope this helps!
4 (hx - 1) -3 (x +h) ≡ 5 (x + k)
Work out the value of h and k
H and k are integer constants
Answer:
4hx - 8x - 3h - 4
k = ------------------------
5
8x + 5k + 4
h = ------------------------
4x - 3
Step-by-step explanation:
4 (hx - 1) - 3 (x + h) = 5 (x + k)
4hx - 4 - 3 (x + h) = 5 (x + k)
4hx - 4 - 3x - 3h = 5 (x + k)
4hx - 4 - 3x - 3h = 5x + 5k add 3h both sides
4hx - 4 - 3x - 3h + 3h = 5x + 5k + 3h simplify
4hx - 4 - 3x = 5x + 5k + 3h add 4 both sides
4hx - 4 - 3x + 4 = 5x + 5k + 3h + 4 simplify
4hx - 3x = 5x + 5k + 3h + 4 subtract 5x from both sides
4hx - 3x - 5x = 5x + 5k + 3h + 4 - 5x simplify
4hx - 8x = 5k + 3h + 4
4hx - 8x - 3h - 4 = 5k
4hx - 8x - 3h - 4
k = ------------------------
5
solving for h;
4hx - 3h = 8x + 5k + 4
h(4x - 3) = 8x + 5k + 4
8x + 5k + 4
h = ------------------------
4x - 3
The value of h and k are h = (8x + 5k + 4) / (4x - 3) and k = (4hx - 8x - 3h - 4) / 5 respectively
Given:
4 (hx - 1) -3 (x +h) ≡ 5 (x + k)
open parenthesis
4hx - 4 - 3x - 3h = 5x + 5k
4hx - 4 - 3x - 3h - 5x - 5k = 0
4hx - 8x - 3h - 5k - 4 = 0
For k
4hx - 8x - 3h - 4 = 5k
[tex]k = (4hx - 8x - 3h - 4) / 5[/tex]
For h
4hx - 8x - 3h - 5k - 4 = 0
4hx - 3h = 8x + 5k + 4
h(4x - 3) = 8x + 5k + 4
[tex]h = (8x + 5k + 4) / (4x - 3)[/tex]
Therefore, the value of h and k are h = (8x + 5k + 4) / (4x - 3) and k = (4hx - 8x - 3h - 4) / 5 respectively
Read more:
https://brainly.com/question/21406377
Simplify the following expression. (10-4i)(4-5i)+(-15+20i)
Answer:
5-46i
Step-by-step explanation:
1. Multiply (10-4i) and (4-5i), I recomnd using foil:
40-50i-16+20i^2 + (-15+20i)
2. Remove the parenthesis around -15+20i
*we can do this since there is a "+":
40-50i-16+20i^2 + (-15)+20
3. Simplify i^2
* i^2 is -1 by textbook defination:
40-50i-16+20(-1) + (-15)+20
4. Simplify
40-50i-16-20 + (-15)+20
6. Combine like terms:
-5-50i-16i+20i
5-46i
And the problem is done
What is the final concentration if a saline solution consisting of 20% NaCl is diluted using a 1/4 solution?
Answer: C.V=C1.V1 +C2.V2
Step-by-step explanation: C=(C1V1 + C2V2)/V -> C=(20%.V+25%V)/2V-> C=22,5%
For the mathematics projects, a teacher divides 27 students into 2 groups. One group has more students than twice the number of students in the other group by 3. Find the number of students in both groups.
Write as a equation.
Answer:
8, 19
Step-by-step explanation:
let group 1 have x students and group 2 have y students
x + y = 27
but group 2 has 2x + 3 students
the sum of students from both groups is 27
x + 2x + 3 = 27
3x + 3 = 27
3x = 24
x = 8
y = 2x + 3
y = 19
SOMEBODY PLEASE HELP ME ON THIS ; DUE TODAY, i’ll mark u the brainliest
Answer: Angle Addition Postulate
Step-by-step explanation:
According to the angle addition postulate, the measure of an angle formed by two angles side by side is the sum of the measures of the two angles. It is used to evaluate the measure of an angle formed by two or more angles .In the given picture, we have ∠MRO and ∠MRS on line SRO.
So, ∠SRO = ∠MRO +∠MRS [By angle addition postulate]
So the postulate that justify the statement " ∠SRO = ∠MRO +∠MRS" is Angle Addition Postulate.
Help me with 1 please
Answer:
[tex]\huge\boxed{Mass = 11600\ kg}[/tex]
Step-by-step explanation:
Given:
Density = ρ = 2900 kg/m³
Volume = V = 4 m³
Required:
Mass = m = ?
Formula:
Mass = Density × Volume
Solution:
Mass = 2900 * 4
Mass = 11600 kg
What is the formula for finding mean or average?
Answer:
LOOK BELOW
Step-by-step explanation:
I would not call the explanation a formula
All you have to do to solve mean or average is add all of the numbers up and divide by the total amount of numbers
so for example
0,2,4,0,2,3,2,8,6 <-------- lets find the mean/average
0+2+4+2+3+2+8+6= 27/amount of numbers
amount of numbers=9
(count the zeros too!)
27/9=3
3 is the mean or average!!!
A ship travels a distance of 700 km. On the return trip it averages 10km/hr faster and 8 hours less, tp travel the 700km back. Determine how long the original part of the trip took in hours
Answer:
The total duration of the trip is 48 hours.
Step-by-step explanation:
Let suppose that ship travels at constant speed during its travel. Each stage is represented by the following kinematic equation:
[tex]v =\frac{\Delta s}{\Delta t}[/tex]
Where:
[tex]\Delta s[/tex] - Travelled distance, measured in kilometers.
[tex]\Delta t[/tex] - Time, measured in hours.
[tex]v[/tex] - Speed, measured in kilometers per hour.
Now, each stage is represented by the following expressions:
Outbound trip
[tex]v = \frac{700\,km}{\Delta t}[/tex]
Return trip
[tex]v + 10\,\frac{km}{h} = \frac{700\,kh}{\Delta t - 8\,h}[/tex]
By eliminating [tex]v[/tex] and simplifying the resulting expression algebraically:
[tex]\frac{700\,km}{\Delta t} + 10\,\frac{km}{h} = \frac{700\,km}{\Delta t -8\,h}[/tex]
[tex](700\,km)\cdot \left(\frac{1}{\Delta t - 8\,h}-\frac{1}{\Delta t} \right) = 10\,\frac{km}{h}[/tex]
[tex]\frac{1}{\Delta t - 8\,h}-\frac{1}{\Delta t} = \frac{1}{70}\,\frac{1}{h}[/tex]
[tex]\frac{8\,h}{\Delta t \cdot (\Delta t-8\,h)} = \frac{1}{70}\,\frac{1}{h}[/tex]
[tex]560\,h^{2} = \Delta t\cdot (\Delta t - 8\,h)[/tex]
[tex](\Delta t )^{2}-8\cdot \Delta t - 560 = 0[/tex]
This equation can be solved by means of the Quadratic Formula, whose roots are presented below:
[tex]\Delta t_{1} = 28\,h[/tex] and [tex]\Delta t_{2} = -20\,h[/tex]
Only the first roots offers a physically resonable solution. Then, total duration of the trip is:
[tex]t_{T} = 28\,h +20\,h[/tex]
[tex]t_{T} = 48\,h[/tex]
The total duration of the trip is 48 hours.