The Correct answer while simplifying the given algebraic expression is: 4a²+1/2a+7
What are Algebraic Expressions?The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
Method to simplify any algebraic Expressions are :
By multiplying factors, remove any grouping symbols like brackets and parenthesis.If the words contain exponents, use the exponent rule to eliminate grouping.Add or subtract like terms to combine them.Add the constants togetherGiven:
=3a²+1/4a+3+a²+4+1/4a
=(3a²+a²)+(1/4a+1/4a)+(3+4)
=4a²+1/2a+7
So the Answer is
=4a²+1/2a+7
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Assume the Poisson distribution applies. Use the given mean to find the indicated probability.
Find P(5) when μ = 9
Answer: 0.155
Step-by-step explanation:
To find the probability of a certain event occurring in a Poisson distribution, we can use the formula:
P(k) = (μ^k * e^(-μ)) / k!
Where:
P(k) is the probability of the event occurring k timesμ is the meane is the base of the natural logarithm ( approximately 2.71828)k! is the factorial of k (k factorial)Plugging in the given values, we get:
P(5) = (9^5 * e^(-9)) / 5! = 126,441 * 0.000123 = 0.1550
So the probability of the event occurring 5 times is approximately 15.5%.
Which expression best estimates 6 3/4 ÷ 1 2/3?
7÷2
6=1
8÷3
3÷2
Answer:
7÷2
Step-by-step explanation:
6 3/4= 6.75
1 2/3= ~1.67
round up 6.75 to 7 and 1.67 to 2
7÷2
mmmmmmmmm,mmmmmmmmmmmmmmmmmmm
Answer:
2 1/6
Step-by-step explanation:
Answer:
11
Step-by-step explanation: says it
LINE GRAPH EASY PLEASE HELP!!
Solve the system:
y = x2 + 3x
y = 12x2 + 3x
Question 4 options:
A)
(12, 1)
B)
(0, 0)
C)
(1, 12)
D)
No solution
Answer:
B) (0, 0)
Step-by-step explanation:
It is where the two figures intersect on the graph!
Hope this Helps!! :))
Find the measurement of the angle I dictated for each trapezoid.
The measures of missing angles in trapezoids are listed below:
Case 5: m ∠ J = 75°, Case 7: m ∠ T = 118°
How to determine the measures of missing angles
In this question we must determine the measures of missing angles in trapezoids. There are two hints to determine the values of the missing angles:
Any pair of angles along one of the two parallel lines and between the other two congruent sides have the same measure. Any pair of angles between two parallel lines are supplementary angles. Two angles are supplementary when the sum of their measures equals 180°.Now we proceed to determine the missing angles in every trapezoid:
Case 5
m ∠ K + m ∠ J = 180°
21 · x + 15 · x = 180°
36 · x = 180°
x = 5
m ∠ J = 15 · x
m ∠ J = 15 · 5
m ∠ J = 75°
Case 7
m ∠ U = m ∠ T
m ∠ T = m ∠ U
m ∠ T = 118°
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a book cost $36 is on 25% discount sale how much does the customer needs to pay for the discounted book
Given,
The cost of the book is $36 There is a 25% discount on all itemTo Find : Amount the customer needs to pay for the discounted book
In order to convert Discount % to Discount we use the formula
[tex]D = \frac{25}{100} X36\\D = 9[/tex]
SP = 36 - 9
SP = $27
Sawyer picks a negative number. What is true about the opposite of his number?
Answer: the opposite number will be positive
Step-by-step explanation:
x -10 -3 4 11
y 1 6 30 120
Is the relationship linear, exponential, or neither?
Choose 1 answer:
Choose 1 answer:
A
Linear
B
Exponential
c
Neither
Answer:
Option C, neither.
Step-by-step explanation:
Here we have the table:
x: -10 -3 4 11
y: 1 6 30 120
This means that if our function is f(x), then:
f(-10) = 1
f(-3) = 6
f(4) = 30
f(11) = 120
We want to know if this represents a linear equation or an exponential equation or neither.
First, let's try with a linear equation.
We know that a linear equation can be written as:
f(x) = a*x + b
Then let's input the known values and let's see if this equation works.
We can use two of the known points to get:
f(-10) = 1 = a*-10 + b
f(4) = 30 = a*4 + b
With these equations, we can find the value of a and b, once we find these values, we can see if the equation also works for the other two points.
1 = a*-10 + b
30 = a*4 + b
First, we need to isolate one of the variables in one of the equations.
I will isolate b in the first one:
b = 1 + a*10
Now we can replace this in the other one to get:
30 = a*4 + 1 + a*10
30 = 1 + a*14
30 - 1 = a*14
29 = a*14
29/14 = a = 2.07
and using the equation b = 1 + a*10 we can find the value of b:
b = 1 + 2.07*10 = 1 + 20.7 = 21.7
Then the equation we get is:
f(x) = 2.07*x + 21.7
Now we need to see if this works for the other two points:
for x = -3, we need to get: f(-3) = 6
f(-3) = 2.07*-3 + 21.7 = 15.49
We did not get the value we expected, then we already know that the relationship is not linear.
Now let's see if the relationship can be exponential.
An exponential function is written as:
f(x) = A*(r)^x
Let's do the same as above, let's use two of the known points to find the values of A and r
f(-3) = 6 = A*(r)^(-3)
f(4) = 30 = A*(r)^4
Now we have the system of equations:
30 = A*(r)^4
6 = A*(r)^(-3)
If we take the quotient of these two equations, we get:
(30/6) = (A*(r)^4)/( A*(r)^(-3))
5 = (r^4)*r^3 = r^(4 + 3) = r^7
(5)^(1/7) = r = 1.258
And the value of A is given by:
30 = A*(1.258)^4
30/( (1.258)^4 ) = 11.98
Then the exponential equation is something like:
f(x) = 11.98*(1.258)^x
Now let's see if this equation also works for the other two points:
for x = -10, we should get f(-10) = 1
Let's see that:
f(-10) = 11.98*(1.258)^(-10) = 1.2
And for x = 11 we should get f(11) = 120
f(11) = 11.98*(1.258)^(11) = 149.6
So we get values closer to the ones we should get, but not the exact ones, so this is not an exponential relation.
Then the correct option is C, neither.
16.) true or false The absolute value of a number and the opposite of a number
will always be different.
Answer
false
Step-by-step explanation:
the absolute value of -1 is 1, and the opposite of -1 is also 1, so it would be false since these are the same
The volume of a cylinder is 8281 cm?. The height of the cylinder is 23 cm.
What is the radius of the cylinder?
Answer:
V = πr²h
r = √V/πh
r = √8281 cm³/(3.14)(23 cm)
r = √8281 cm³/72.22 cm
r = √114.66 cm²
r = 10.71 cm
The location of a monkey in its coordinate space enclosure is expressed as the ordered triple M (−8, 0, 0). A treat has been hidden in the same enclosure at a location expressed as T (0, 0, 6).
If each unit on the graph measures 1 foot, how far is the monkey from the treat? (Hint: The Pythagorean theorem can be used because the x-axis, y-axis, and z-axis each intersect at a right angle.)
2 ft
6 ft
10 ft
14 ft
Answer: I believe it’s 10 ft
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Find the volume of the figure. Round your answer to the nearest hundredth.
Be sure to highlight or sketch the base to find its area.
[tex]\large{\colorbox{black}{\color{pink}{EXPLANATION:}}}[/tex]
if it was quarter to five an hour and twenty-five minutes ago, what is the time now?
I WILL MAKE YOU RAINLIST JUST PLZ HELP ME ON THIS PROBALEM BUT YIUR ANSWER HAS TO BE CORRECT
A cube is attached to a right rectangular prism as shown. The figure is not drawn to scale
What is the surface area of the figure?
The surface area is _________in2.
Answer:
36
Step-by-step explanation:
36
Find the quotients for the following equations-
1.72 divided by 3 (use sharing to divide)
2 228 divided by 5 (use partial quotients)
3. 1,487 divided by 4 (solve using any strategy you choose)
Complete these questions on yellow loose leaf paper
Your thinking must be visible.
Divide 228/5 into 45, leaving a residue of 3, and divide 1,487 by 4 to get 371.75 . 2.28 divided by 5 using partial quotients = 40 + 5 = 45
what is quotients ?The quotient is a whole number when a number is entirely divisible by another integer.For instance, 15 x 3 = 5. (whole number)The quotient is a decimal number when a number is not entirely divisible by another integer. For instance, 15 x 2 equals 7.5 (decimal number)
given
2.28 divided by 5 using partial quotients = 40 + 5 = 45
after all partial quotients are added up. 1.72 divided by 3 using sharing to divide = 1.72 / 3 = 0.58
Divide 228/5 into 45, leaving a residue of 3, and divide 1,487 by 4 to get 371.75 .
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What is 70% of 400??
Answer: 280
Step-by-step explanation:
change 70 into a decimal, by moving the period 2 times the the left etc. and multiply it by 400 to get the answer.
0.70 x 400 = 280
The value of z varies inversely with the value of w. The constant of variation is 2. Which are possible values for z
3
and w? Check all that apply.
Oz=.
z = 1+₁ w = 2/1/201
O z = 2, w = 3
O z=
z = -1/₁w=2
O z
4,
= 1/5, w = 2/1/201
z = 1/2/3₁, w = 2/1/201
Answer:A,C,D
As a result of the inverse relationship between z and w, their product is constant.
What does "inverse connection" actually mean?There is an inverse relationship between two parameters when they are connected, where the value of one parameter tends to decrease as the value of the other parameter increases. It's often described as a "bad friendship" in conversation.
According to the information:z * W is equal to 1.
The statement indicates that the constant's value is 2/3, so:
z * w = 2/3
The result of solving for any of the variables is:
either w = (2/3) / z or z = (2/3) / w
The following values fit that relation:
z w = (2/3) / z
-8/9 (2/3) / (-8/9)
= - (2/3) * (9/8) = -3/4
- 4/9 (2/3) / (-4/9)
= - (2/3) * (9/4) = - 3/2
- 2/9 (2/3) / (-2/9)
= - (2/3) * (9/2) = - 3
2/9 (2/3) / ( 2/9)
= (2/3) * (9/2) = 3
4/9 (2/3) / (4/9)
= (2/3) * (9/4) = 3/2
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Help me please trig hw
Answer:
44.044 is your answer dude
Someone please help me please don’t answer if you don’t know ..
the answer would be 7/8
Step-by-step explanation:
what is this I need the answer
Answer:
104
Step-by-step explanation:
Only answer if you’re sure :) thank you!
Suppose sonar on the surface of the sea locates an
object at an angle of depression of 65° and a distance
of 320 feet.
How deep is the object?
9514 1404 393
Answer:
290 ft
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(65°) = d/(320 ft)
d = (320 ft)sin(65°) ≈ 290 ft
The object is about 290 feet deep.
Choose the correct graph of the following condition.
{(x, y): x - y = 6}
Answer:
The answer is the 3rd graph!
The requried graph of equation x - y = 6 is shown in graph C.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
The given condition is x - y = 6, which is a linear equation with a slope of 1 and a y-intercept of -6. We can also rewrite this equation in slope-intercept form as y = x - 6.
To graph this equation, we can plot the y-intercept at (0, -6), and then use the slope of 1 to find other points on the line. For example, if we move one unit to the right from the y-intercept, we will also move one unit up to get to the point (1, -5).
Therefore, the correct graph is C.
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Using the following equation, find the center and radius of the circle. You must show and explain all work and calculations to receive credit. Be sure to leave your answer in exact form.
x^2 + y^2 - 8x + 2y + 13 = 0
Thank you!
Answer:
radius = 2 center = (4,1)
Given points A (1, 5) and B (-7, -5), which of the following coordinates is the midpoint of AB? (-3, 0) (-4, 0) (-2, 0) (4, 0) (2, 0)
Using formula of midpoint of a line, the coordinate of the midpoint is (-3, 0)
What is Midpoint of LineThe midpoint of a line is a point that is equidistant from both endpoints of the line. It can be found by taking the average of the x-coordinates of the two endpoints, and then taking the average of the y-coordinates of the two endpoints. For example, if the two endpoints of a line are (x₁, y₁) and (x₂, y₂), then the midpoint of the line is:
Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
The formula of midpoint of a line is given as;
M(x, y) = (x₂ + x₁) / 2, (y₂ + y₁) / 2
Substituting the values into the formula;
M(x, y) = (-7 + 1) / 2, (-5 + 5) / 2
M(x , y) = -6/2, 0/2
M(x, y) = -3, 0
The coordinate of midpoint is (-3, 0)
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What is the surface area?
What is the surface area of G
Answer:
226 cm^2
Step-by-step explanation:
It’s literally a rectangular prism If you put it together. The side with 2 cm and 11 cm , the surface area is 22 and since this is a rectangular prism, that means there is a second of the same kind. Then you get the larges box, since you know that the top side is 11 and the left side is 7, you multiply that * 2 which you then get 154. You add that up with the side that you solved before so 154 + 44 = 198. You then figure out the left side 7 * 2 * 2 (because there are two of them). 28 + 198 = 226 cm^2.
Answer:
226 cm^2
Step-by-step explanation:
11*2 + 7*2 + 7*2 + 11*7 + 11*2 + 7*11
= 22+ 14 +14+ 77+ + 22 + 77
= 226
12 cups to 2 pints ratio
Sara is saving her money in a piggy bank
and counts it each month. The graph
shows her monthly savings. Choose any
two points and draw a slope triangle.
Dilate the slope triangle along the graph
to determine whether the amount Sara
saves each month is constant.
Answer: It is not possible for me to draw a slope triangle or dilate it along the graph without more information about Sara's monthly savings.
To determine whether the amount Sara saves each month is constant, you can choose any two points on the graph and use them to calculate the slope of the line connecting them. If the slope is constant for all pairs of points, then the amount Sara saves each month is constant. If the slope is not constant, then the amount Sara saves each month is not constant.
To calculate the slope of the line connecting two points, you can use the following formula:
slope = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
You can then use the slope triangle to visualize the slope of the line connecting the two points. If you dilate the slope triangle along the graph and the slope remains constant, then the amount Sara saves each month is also constant.
Step-by-step explanation:
please help will give brainliest
Answer:
c
Step-by-step explanation:
10 times 8 = 80
80 times 3 = 240
Answer:
A
Step-by-step explanation:
length times width times height will give you volume