3z +2+(-5z)+6 combine like terms
Answers
The question is given as ;
3z +2+(-5z) + 6
From the above the like terms are those with z' and the numbers,
3z -5z + 2 + 6
-2z + 8
Answer
-2z + 8
Related Questions
Evaluate. S (1222 +7+-5) dt 0 24t + 7 + C O 6 +7t2 - 5t +C O 12+ + 7+2 - 5t + C 412 +222-5t+C
Answers
Evaluate
\(\int (12t^2\text{ + 7t -5) dt }\)__________________________________________________
Rule
\(\int (t^n\text{) dt = }\frac{t^{n+1}}{n+1}\)______________________________
So then,
\(\int (t^2\text{) dt = }\frac{t^{2+1}}{2+1}=\frac{1}{3}t^3\)\(\int (t^{}\text{) dt = }\frac{t^{1+1}}{1+1}=\frac{1}{2}t^2\)________________________
Answer
\(\int (12t^2\text{ + 7t -5) dt }=\text{ }\frac{12}{3}t^{3\text{ }}+\frac{7}{2}t^2\text{ - 5 t +c= }4t^{3\text{ }}+\frac{7}{2}t^2\text{ - 5 t +c}\)use technology to determine the equation of the line of best fit for the table of points below. round decimal to the tenths place
Answers
Answer:
The line of best fit for the given table is;
\(y=1.2x+4.2\)Explanation:
Using desmos to find the line of best fit for the given data; ( Statistics - linear regression)
We have;
Therefore, the line of best fit for the given table is;
\(\begin{gathered} y=mx+b \\ m=1.2 \\ b=4.2 \\ y=1.2x+4.2 \end{gathered}\)The line of best fit for the given table is;
\(y=1.2x+4.2\)
Which is the area, A
A
, of this triangle, using the formula A=12ab⋅sin(C)
A
=
1
2
a
b
·
sin
C
?
Answers
The area of triangle, using the formula A is 146.9 in^2
How to find a area of triangle using trigonometry?Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles. It can be used to calculate the area of a triangle by using the length of its sides.
The most commonly used formula to calculate the area of a triangle is known as Heron's formula. This formula uses the lengths of the triangle's three sides, known as a, b, and c. Then use the formula A = 1/2 x\(\sqrt{(a + b+ c)(-a + b + c)(a - b + c)(a + b -c)}\) to calculate the area of the triangle.
To calculate the area of a triangle using Heron's formula, first measure the length of each side of the triangle. Then use the lengths of the sides to calculate s using the formula above. Once you have calculated s, plug the values for a, b, and c into Heron's formula to calculate the area of the triangle.
A = 1/2ab⋅sin(C)
= 1/2(21 in. )(14 in.)⋅sin(88)
= 1/2(294 in.2 )⋅sin(88)
= 1/2(294 in.2 )⋅0.9945
A = 146.9 \(in^{2}\)
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Find the length of the arc of a circle of diameter 6 meters subtended by a central angle of 3π5 radians.
Answers
Answer:
8.8metres
Step-by-step explanation:
diameter = 6 m
radius = 3 m
Length of arc = radius x central angle in radians
3 x 2/3= 2 m = 44 / 5 = 8.8
h(x)=2x-x^3 is this function odd or even?
Answers
H(-x) is equal to -H(x), so the function H(x) is an odd function.
What role do odd and even functions have in mathematics?Mathematical notions like odd and even functions are crucial, especially when learning about functions and their characteristics. These are certain kinds of functions having particular symmetry characteristics in relation to the y-axis (or origin). Odd and even functions are important because of their algebraic and geometric characteristics, which make it possible to more quickly simplify expressions, integrate functions, and solve equations.
The conditions to determine even and odd functions are:
Even function: f(-x) = f(x) for all x in the domain of the function.
Odd function: f(-x) = -f(x) for all x in the domain of the function.
For the given function:
H(x)=2x - x³
H(-x)=-2x + x³
H(x) = -H(x)
Hence, H(-x) is equal to -H(x), so the function H(x) is an odd function.
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Ann has several sources of income. Which would not be considered earned income?
O 3% commission on all sales
O $800,00 per month salary
$2500.00 she earned developing websites in her spare time
O $300,00 per month child support
Answers
Best answer gets brain ly
Answers
The new coordinates of the image of the shape are
(3, -2) (2, -2) (2, -4)The picture of the graph showing the image is attached
How to make a 90 degrees clockwise rotationThe rule for 90 degrees clockwise rotation is
(x, y) becomes (y, -x)
The rule involves interchanging the coordinates of the ordered pair such that x takes the place of y and y tales the place of x and a change of sign
performing the rotation we have the new coordinates as below
(2, 3) becomes (3, -2)
(2, 2) becomes (2, -2)
(4, 2) becomes (2, -4)
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If Valerie has a shoe business and bought a pair of shoes for $50 and wanted to mark them up by 80%, what price is she selling the shoes for?
Answers
Answer:
She will sell the shoes for 90 dollars
Step-by-step explanation:
First find the markup
50 * 80%
50 *.8
40
Add this to the original price
50+40 = 90
She will sell the shoes for 90 dollars
Candace deposited $3,587.39 into a savings account with an interest rate of 4.2% compounded twice a year. about how long will it take for the account to be worth $5,000?
Answers
Answer:
Solution in photo
Step-by-step explanation:
Select the correct answer.
Which scatter plot shows a positive linear association?
Answers
Answer:
what ever plot goes upwards is the positive one
Step-by-step explanation:
Answer:
D is the awnser :)
Step-by-step explanation:
Every mark is increasing...
solve the literal equation a + 4b = 5b - 3a for a
Answers
a + 4b = 5b + -3a
Reorder the terms:
a + 4b = -3a + 5b
Solving
a + 4b = -3a + 5b
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '3a' to each side of the equation.
a + 3a + 4b = -3a + 3a + 5b
Combine like terms: a + 3a = 4a
4a + 4b = -3a + 3a + 5b
Combine like terms: -3a + 3a = 0
4a + 4b = 0 + 5b
4a + 4b = 5b
Add '-4b' to each side of the equation.
4a + 4b + -4b = 5b + -4b
Combine like terms: 4b + -4b = 0
4a + 0 = 5b + -4b
4a = 5b + -4b
Combine like terms: 5b + -4b = 1b
4a = 1b
Divide each side by '4'.
a = 0.25b
Simplifying
a = 0.25b
Write 4.48 as a mixed number in simplest form.
Answers
Answer:
4 12/25
Step-by-step explanation:
4.48 can be written as 4 48/100
Simplify
4 24/50
Simplify some more
4 12/25
Hope this helped :)
(Didn't you just ask this question?)
Answer:
4 48/100 or 4 12/25
Step-by-step explanation:
the 48 in the hundredths place is obviously going to equal 48/100 and you can divide both the 48 and 100 by 4. 48÷4=12 100÷4=25
From an airplane flying over the ocean, the angle of depression to a submarine lying under the surface if 24 degrees 10 minutes. At the same moment, the angle of depression from the airplane to a battleship is 17 degrees 30 minutes. The distance from the airplane to the battle ship is 5120 ft. Find the distance between the battleship and the submarine.
Answers
For Serenity's lemonade recipe, 4 lemons are required to make 5 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade?
Answers
For Serenity's lemonade recipe, the lemons being used per cup of lemonade is 0.8
What is ratio?Ratio is a comparison of two quantities that are expressed in relation to each other. Ratios are typically expressed in the form of a fraction, with the numerator representing one quantity and the denominator representing the other quantity.
According to question:To find the rate at which lemons are being used in lemons per cup of lemonade, we need to calculate the ratio of lemons used to cups of lemonade.
According to the recipe, 4 lemons are required to make 5 cups of lemonade. So the rate of lemons used is:
4 lemons / 5 cups = 0.8 lemons per cup of lemonade
This means that for every cup of lemonade, 0.8 lemons are used.
Alternatively, we can also express this rate as a fraction, which gives us:
0.8 lemons / 1 cup of lemonade
Either way, the rate of lemons used is 0.8 lemons per cup of lemonade.
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A park planner is designing a dog park
Answers
Answer:
Un planificador de parques está diseñando un parque para perros
Anyone willing to take there time for this question
Answers
Answer:
B
Step-by-step explanation:
Use the following sample data to answer the questions below
Favorite cola Number of responses
29
Coke
Pepsi
Diet Coke
Diet Pepsi
Coke Zero
Other
21
37.
28
19.
16
150
150
2
17)
a. Find the Probability of selecting a Coke person from this group.
Answers
Answer:
To find the probability of selecting a Coke person from this group, we need to divide the number of people who prefer Coke by the total number of people in the group.
The number of people who prefer Coke is 29. The total number of people in the group is 29 + 21 + 37 + 28 + 19 + 16 + 150 + 150 + 2 = 452.
Therefore, the probability of selecting a Coke person from this group is:
P(Coke) = Number of people who prefer Coke / Total number of people in the group = 29 / 452 ≈ 0.064
So the probability of selecting a Coke person from this group is approximately 0.064.
I hope this helps! Let me know if you have any other questions.
Step-by-step explanation:
The 5-lb collar slides on the smooth rod, so that when it is at A it has a speed of 10 ft/s. A) if the spring to which it is at- tached has an unstretched length of 3 ft and a stiffness of k-= 10 lb/ etermine the normal force on the collar at this instant. B)Determine the acceleration of the collar at this instant.
Answers
The acceleration of the collar at point A is 5 ft/s^2.
A) To determine the normal force on the collar at point A, we need to consider the forces acting on the collar. The only force acting on the collar in the vertical direction is the weight of the collar (5 lb), which is balanced by the normal force exerted by the rod. Therefore, we can write:
N - 5 = 0
where N is the normal force. Solving for N, we get:
N = 5 lb
B) To determine the acceleration of the collar at point A, we need to use Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration. The net force on the collar is given by the force exerted by the spring, which is equal to the spring constant times the displacement of the collar from its unstretched length. At point A, the displacement of the collar is:
x = L - y = 3 - 0 = 3 ft
where L is the length of the rod and y is the position of the collar on the rod. Therefore, the force exerted by the spring is:
F = kx = 10 lb/ft × 3 ft = 30 lb
The weight of the collar is:
W = mg = 5 lb
where g is the acceleration due to gravity. The net force on the collar is therefore:
Fnet = F - W = 30 - 5 = 25 lb
Using Newton's second law, we can write:
Fnet = ma
where a is the acceleration of the collar. Solving for a, we get:
a = Fnet / m = 25 lb / 5 lb = 5 ft/s^2
Therefore, the acceleration of the collar at point A is 5 ft/s^2.
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Type < or > to make this statement true
Answers
Answer:
- \(\frac{9}{10}\) > - \(\frac{10}{10}\)
Step-by-step explanation:
Which number is closer to 0, meaning that number is bigger.
-9/10 = -0.9
-10/10 = -1
We see -0.9 is closer to 0, meaning it is bigger.
So, - \(\frac{9}{10}\) > - \(\frac{10}{10}\)
Is it true or false?
Answers
Answer:
False
Step-by-step explanation:
I'm pretty sure it's false, sry if it's not
3. Which of the following is an example of overdraft protection?
A. Bank pays you interest on money in your savings account
B. Bank collects additional fees when you bounce a check
OC. ATM machine provides you with cash
D. Bank charges a large fee for bouncing a check
PLEASE HELP 4 $
Answers
Answer:
D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.
Step-by-step explanation:
Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.
Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.
Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.
Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.
This graph shows the four quadrants of the coordinate plane with a line passing through (0,2) and (6,6) and extending in both directions. Write an equation for the line in y=mx+b. Simplify any fractions.
Answers
Therefore, the equation of the line passing through (0, 2) and (6, 6) in y=mx+b form is y = (2/3)x + 2.
How are equations for a line determined?We must ascertain the slope (m) and the y-intercept in order to compute the equation of a line with the formula y=mx+b. (b).
The following formula determines the slope of a line via the points (x1, y1) and (x2, y2):
m = (y2 - y1)/(x2 - x1)
Using (0, 2) and (6, 6), we can calculate:
m = (6 - 2)/(6 - 0) = 4/6 = 2/3
As a result, the line has a 2/3 slope.
We may use the point-slope form of the equation to determine the y-intercept:
y - y1 = m(x - x1)
Using the slope we just discovered and the location (0, 2), we have:
y - 2 = (2/3)x
When we simplify this equation, we obtain:
y = (2/3)x + 2
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A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus? hint: look at the difference between number of people and cost to get cost per person and then cost without people
How much does each person cost?
Write an equation to show cost, c, of a bus with x number of people on it
Answers
Answer:
Base rate: $120
Rate: $2 per person
Equation: f(x)=2x+120
Step-by-step explanation:
If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40. This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).
These values correspond to a base rate for the bus of $120.
The function for the cost per bus with x number of people on it would be:
\(f(x)=2x+100\)
This can be checked by using the values given in the problem:
\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)
The base rate of $120 and $2 per person satisfies the given equation and established values.
Write the equation in vertex form. Then identify the vertex, axis of symmetry, and direction of opening.
y = 2x^2 + 2
Answers
Step-by-step explanation:
y-2=2(x-0)^2
Vertex: (0,2)
Axis of Symmetry is x=0
Opens upward
Hope that helps :)
Which one (it’s a test a and it’s due tonight I need help)
Answers
Answer:
12+8r
Step-by-step explanation:
2(6+4r) = 30r
If I am wrong, please let me know and I will do a re-correction
One jar of spaghetti sauce is made with 1/4 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?
Answers
Answer:
you can make 12 cans of them
Please help :p - will give brainliest if correct
Answers
Answer:
28:16
8×2=16
14×2=28
I hope this helps:
About one-eighth of thepopulation is left-handed. If thereare 48 left-handed students at thehigh school, how many studentscan you expect attend the school?
Answers
The answer is option b. 384
Since 1/8 of the population is left handed, there is another 7/8 that are right handed.
Let's call x to the number of students, then:
\(\begin{gathered} \frac{1}{8}\cdot x=48 \\ \end{gathered}\)This means, the an eight of the total students are left handed. Now we can solve for x:
\(x=8\cdot48=384\)The given figures are similar find the value of x and simplify your answer
Answers
The value of the variable is 8
How to determine the valueIt is important to note the properties of a rectangle are;
It has four sidesA length and a widthThe sum of the interior angles of a rectangle is 360 degreesThe diagonal divides the rectangle into two equal parts.From the information given, we have that;
the two rectangles are equal, then, we have that;
Width of rectangle 1 = 13
Width of rectangle 2 = 2x - 3
Substitute the values, we have;
Equate the values
2x - 3 = 13
collect the like terms
2x = 13 + 3
2x = 16
Divide by the coefficient, we get;
x = 8
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Calculator What is the area of a sector with a central angle of 144° and a radius of 11 cm? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. cm² K
Answers
Rounding to the nearest hundredth, the area is approximately 151.976 cm².
The formula for the area of a sector is:
A = (θ/360) x πr²
where θ is the central angle in degrees, r is the radius, and π is pi (3.14).
Plugging in the given values, we get:
A = (144/360) x 3.14 x 11^2
A = 0.4 x 3.14 x 121
A = 151.976
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