Expression which is equivalent to 2⁸ is 2⁴ · 2⁴. Add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation. Thus, option D is correct.
What is the process for determining an equivalent expression?Add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation. The x-term is typically put before constants when arranging the terms in the same sequence.The two phrases are equal if each of the terms in both of them is the same. Our final solution is 2 x, minus 2, but you may also write 2 x, minus 3 or 2 x, minus 3. The only viable solution was this one. The proper response is option d, as you can see in this case.When reduced to their most basic form, two or more ratios are said to be similar if their values are the same.2⁸ = 256
and
2⁴ • 2²
= 16 · 16
= 256
2⁸ = 2⁴• 2²
Thus, Expression which is equivalent to 2⁸ is 2⁴ · 2⁴
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Misaki used five sections of fencing to build a rectangular garden.
two 4 ft sections
two 6 ft sections
one 8 ft section
She used all of the sections without cutting any. Which of these could be the dimensions of Misaki’s garden?
The possible dimensions of the rectangular garden are 8ft by 12ft, 6ft by 16ft, and 4ft by 24ft
What is the dimension of the gardenIn this problem, Misaki used five sections of fencing, two 4 ft sections, two 6 ft sections, and one 8 ft section to build a rectangular garden without cutting any. To find the possible dimensions of the garden, we can use the lengths of the fencing sections to make different combinations of the length and width of the garden.
Here are a few possible combinations for the rectangle shaped garden.
A garden that is 8 ft by 12 ft: This would use the two 4 ft sections as the width and the two 6 ft sections as the length.
A garden that is 6 ft by 16 ft: This would use the two 4 ft sections as the width and the one 8 ft section and two 6 ft sections as the length.
A garden that is 4 ft by 24 ft: This would use the two 6 ft sections as the width and the one 8 ft section and two 4 ft sections as the length.
It's important to notice that there are no other possibilities with the given lengths of fencing. Misaki can't have different dimensions because all the lengths are given, and if the width and length are swapped, we will get a different rectangular garden.
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find the 37th term for 262,257,252
Answer: 82
Step-by-step explanation:
Find the exact value of sin B in simplest radical form.
B
√60
√85
C
5
сл
D
Answer:
it's b for sure young man
PLEASE ITS DUE SOON! SO CONFUSED!
Answer:78
Step-by-step explanation:
very simple
acb is an enlargment of fdc
39/18=2 3/18
2 3/18x36=78
Question 26
You get a raise of 4.25%. Your present salary is $18,250 per year.
By how much will your salary increase?
O $912.50
O $429.41
O $730
O $775.63
Therefore , the solution of the given problem of interest comes out to be
present salary is $19,025.625.
What is the definition of interest?By dividing the principle by the cost of borrowing, the rest of the time, and other factors, simple interest is determined. Simple return equals principal plus interest plus hours is the concept used in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating income is as a portion of the principal amount. For example, if he takes $100 from a buddy and pledges to pay back the loan at 5% interest, he will just pay his share of the 100% involvement. $100 (0.07) = $7. When you borrow money, you must pay interest, and you must charge interest when they lend it.
Here,
Given : 4.25 % raise
Salary = $18,250
=> Simple interest = P*R*T /100
=> 18250 * 4.25 * 1 /100
=> 775.625
Thus,
Present salary = 18250 + 775.625 = 19,025.625.
Therefore , the solution of the given problem of interest comes out to be
present salary is $19,025.625.
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find all scalars t such that t <2,3> has a length 1
The required value of t is equal to 1/√13
What are vectors?A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity. Examples of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.
Given here: The vector A= [tex]t\left[\begin{array}{ccc}2\\3\\\end{array}\right][/tex] and we are required to find or simply normalize this vector A by multiplying a scalar t
On Multiplying the scalar t we get the matrix A= [tex]\left[\begin{array}{ccc}2t\\3t\\\end{array}\right][/tex]
Now normalizing the vector A we get ||A|| as
[tex]\sqrt{4t^2+9t^2} \\=\sqrt{13t^2} \\=\sqrt{13}.t[/tex]
If t=1/√13 we get ||A|| as equal to 1
Thus for t=1/√13 we get the length of the vector as equal to one.
Hence, The required value of t is equal to 1/√13
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1. x² + 2x 15 = (ax + b)(cx + d)
2. 2x³ + 6x² 20x = 2x(ax + b)(cx + d)
3.9x² +21x + 6 = (ax + b)(cx + d)
Fill in the table with the missing values of a, b, c, and d.
The complete table for the given quadratic equations is:
a b c d
1. 1 -3 1 5
2. 1 -2 1 5
3. 3 6 3 1
What is splitting the middle-term method?When the middle term of a quadratic equation is split, we must rewrite the expression as the sum or difference of the two parts. We must split the middle phrase into two halves in order to determine the sum or difference of the words.
1. x² + 2x - 15
Split the middle term
= x² + 5x - 3x - 15
= x(x + 5) - 3(x + 5)
= (x - 3)(x + 5)
So, a = 1, b = -3, c = 1, d = 5
2. 2x³ + 6x² - 20x
= 2x(x² + 3x - 10)
= 2x(x² + 5x - 2x -10)
= 2x(x(x + 5) - 2(x + 5))
= 2x(x - 2)(x + 5)
So, a = 1, b = -2, c = 1, d = 5
3. 9x² + 21x + 6
= 3(3x² + 7x + 2)
Use splitting middle term method
= 3(3x² + 6x + x + 2)
= 3(3x(x + 2) + 1(x + 2))
= 3(x + 2)( 3x + 1)
= (3x + 6)(3x + 1)
So, a = 3, b = 6, c = 3, d = 1
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A train travel's at the average speed of 100 kilometers per hour. What would be the train travel's for one and half hour, what distance does it cover?
The train covers 150 kilometers in one and a half hours.
To calculate the distance a train travels in one and a half hours at an average speed of 100 kilometers per hour, you can use the formula:
Distance = Speed x Time
In this case, the distance the train travels in 1.5 hours is:
Distance = 100 km/h x 1.5 hours = 150 kilometers
So the train would cover a distance of 150 kilometers in 1.5 hours.
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Can you help me with this problem
need help in this question pls
Answer:
the fundamental properties of a rectangle are
-A rectangle is a quadrilateral.
-The opposite sides are parallel and equal to each other.
-Each interior angle is equal to 90 degrees.
-The sum of all the interior angles is equal to 360 degrees.
-The diagonals bisect each other.
Both the diagonals have the same length.
please help if you can. due today. TT
There is a linear relationship between the number of people in a group and the cost to enter a museum. The museum charges $20 for two people and $28 for three people.
Part A: Write the equation in slope-intercept form that relates the number of people in a group to the cost of entering the museum. Show your work.
The slope - intercept form of the equation that relates the number of people and the cost of entering the museum is y = 8x + 4
How to find the equation ?The slope - intercept form is:
y = mx + b
Where:
m = slope or the cost per person
b = y - intercept or the residual cost
The cost per person to enter the museum is:
= Difference between cost of three people and two people
= 28 - 20
= $ 8
The residual is:
= Total cost for two people - Cost of two people
= 20 - ( 8 x 2 )
= $ 4
The slope intercept form of the relationship between the number of people and the cost of entering the museum is therefore:
y = 8x + 4
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what is the domain in the picture
The domain of the graphed relation is:
D : {-9, -7, -5, -2, 1, 3}
We want to find the domain of the graphed relation?For a relation y = f(x), we define the domain as the set of the possible inputs, this is, the possible values of x.
On the graph we can see some points (x, y) graphed, where x is the value on the horizontal axis.
We can see that the graphed points are:
(-9, -4)
(-7, -6)
(-5, -4)
(-2, 2)
(1, 4)
(3, 1)
The domain is the set of the first values of each point, so the domain is:
D : {-9, -7, -5, -2, 1, 3}
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Need help with this problem
Step-by-step explanation:
f(x) = x² + 5 g(x) = x + 4
for f(g(x)) or (f○g)(x) we take the expression of g and place it everywhere in the expression of f where x is mentioned.
so, (x + 4) goes into (x² + 5) giving us
((x + 4)² + 5) = x² + 8x + 16 + 5 = x² + 8x + 21
so, (2) is the correct answer.
8.
the same principle
f(x) = 2x + 9 g(x) = (x - 9)/2
just here we take f and put it into g :
g(f(x)) = ((2x + 9) - 9)/2 = 2x/2 = x
so,
(a) g(f(15)) = 15
(b) g(f(-3)) = -3
(c) g(f(x)) = x
to verify e.g. (a) we use x = 15 in f(x)
f(15) = 2×15 + 9 = 30 + 9 = 39
and then we use this result as new x = 39 in g :
g(39) = (39 - 9)/2 = 30/2 = 15
correct.
Questions attached. Please help
Line PQ is parallel to EF in the triangle DEF. So, ABC, DPQ, etc. Thus, we can state that A = D, B = P, and C = Q, indicating that the triangle ABC is comparable to the triangle DEF.
Are △ ABC and △ def similar?All sides are equal. The same triangles Two triangles ABC and DEF are comparable if the three related angles are all equal (written ABC DEF). Similar Lines Two lines are parallel if their paths do not cross.If the included sides are congruent and two of each triangle's angles match up with two of its other angles, the triangles are said to be congruent. the use of labels If angles A, B, and AB in triangle ABC equal angles D, E, and DE, then triangles ABC and DEF are congruent.DE is the same as 9, EF as 12, and DF as 7 centimetres. DO is the angle's bisector The idea being used: BAC follows if AD is the triangle's angle bisector.To learn more about triangle refer to:
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One out of 26 high school ball players plays college ball. One out of 33 college players plays professional ball. What fraction of high school players plays professional ball?
1 out of 33 (1/33) is the answer.
Which arc measure 180
pls hurry and help!!!
Answer:
(x - 5) - (x + 1) ➡️ -4.(x - 5) - (x - 1) ➡️ -6.(x - 5) + (x + 1) ➡️ 2x - 4.(x - 5) + (x - 1) ➡️ 2x - 670 POINTS AND BRAINLIEST!!
Answer:
for part (a) you will have about 28 dots for 10 squares.
part (b) its a 4x4 square with 16 square.
Answer: The numbers which can be expressed as a ratio of two integers where the denominator is not equal to zero
Step-by-step explanation:
Rational numbers are expressed in the form of where . 'q' is the denominator in the above fraction.
The fractional form which is terminating or non-terminating recurring are considered as rational numbers.
The numbers 'p' and 'q' are the integers.
Integers are defined as number which is a proper number and not a fraction or decimal. All negative whole numbers are considered as integers.
Some Examples of Rational numbers: is a terminating fraction. is a non-terminating recurring fraction
Hence, the numbers which can be expressed as a ratio of two integers where the denominator is not equal to zero
Step-by-step explanation:
Determine the value of h in the equation 1/5+h=7/5. 6/5 8/25 6/25 8/5
The value of {h} is equivalent to 6/5.
What is a function?A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.
Given is the function as follows -
(1/5) + h = (7/5)
We can write the function as -
(1/5) + h = (7/5)
h = 7/5 - 1/5
h = (7 - 1)/5
h = 6/5
Therefore, the value of {h} is equivalent to 6/5.
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explain why f(2) + f(3) ≠ f(5)
A function is an equation that has a single solution for each value of y.
How to prove that two functions are equal?When two functions f and g share a domain and a codomain, and f(a)=g is true for each an in the domain, we say that the two functions are equal (a).
A function is an equation with just one solution for every value of y in the equation. A function pairs each input of a particular type with exactly one output. Instead of y, it is typical to name functions f(x) or g(x).
If two functions share the same domain and codomain as well as the same values across the board, then they are considered to be equal.
In spite of how the elements are arranged in the sets, two sets are said to be equal when all of their components are present in both. Afterward, the sets are referred to as equal sets. When all of one set's elements are absent from the other, two sets are said to be unequal.
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Hello! can someone help me with this problem (its the picture)
Answer: 4/12
Step-by-step explanation:
Simplify each fraction by dividing or multiplying. Then you’ll get the answer
Answer:
4/12
Step-by-step explanation:
you simpify 4/12 and get 1/3 and that is what is being shown in the picture.
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
-5x^2 - 70x -280 = 10
If y = 7, what is 9y - 27 ?
Write an equation for the line parallel to g(x) =-1x-5 passing through the point (10,1) write the answer in floor intercept form
Answer:
g(x) = -1x + 11
Step-by-step explanation:
Parallel equations have the same slope.
G(x) is the same as y.
Step 1:
y = mx + b
y = -1x + b
Step 2:
Substitute (10,1) in the equation
1 = -1(10) + b
now solve for b.
Step 3:
1 = -10 + b
+10 +10
1 = b
Step 4:
check
y = -1(10) + 11
y = -10 + 11
y = 1
You and three friends went out to eat. Before you left you bought two dozen cookies to go. The cost of the cookies totaled $10.56. The following is
ow much each person contributed:
You - $2.20
Friend 1-- $3.52
Friend 2
$3.08
Friend 3 $1.76
You all agree that you should keep it fair and split the cookies on the basis of how much each person paid. How many cookies should each person
get?
Answer:2.64
Step-by-step explanation:10.56 divided by 4=2.64
For the total population of a large southern city, mean family income is $34,000, with a standard deviation (for the population) of $5,000. Imagine that you are taking subsample of 200 city residents. What is the probability (or proportion) that your sample mean is between $33,000 and $34,000?
The z-score for the data is Z= -2.83.
What is a z-score?The standard score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.
The formula for calculating the z-score is :
Mean = 33000
μ = 34000
n = 200
σ = 5000
Putting all values,
[tex]Z = \dfrac{\bar x-\mu}{\sigma}\\Z = \dfrac{33000 - 34000}{\dfrac{5000}{\sqrt{200}}}\\Z = -2.83[/tex]
Hence, the value of the z-score will be Z= -2.83.
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Does choosing a blue marble represent the complement event of choosing a red marble? Explain.
2 blue marbles, 1 red marble, and 2 purple marbles.
Short paragraph please and not too much gaps
Answer: The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5.
By :- Utsav Xettri
Help asap please!!!!
Hi there! So already noticeable, there are some given parts and pieces. AD is unknown, and BC it seems is also unknown, since they are both congruent to each other. Segment AB is twice the length of AD, and AB is parallel to BC. DC is 4 cm longer than AB.
If you've done proofs, here's one thing that can help: Angle ADC and BCD are congruent to each other by same-side interior angles theorem.
If you haven't done proofs, I'm just going to keep this a little bit more understandable. I don't want to overload you with a million formulas/theorems.
AD = BC
AB = 2(AD)
AB || BC
DC = AB + 4
Wait a minute... :)
AD x 2 = AB. AB is 4 units shorter than DC.
Try making an equation. AD can be x, AB can be y, and DC can be z.
2x = y
y + 4 = z, z - 4 = y
2x = z - 4
So try substituting in some things that can work. The length of AB has to be 2 times the length of AD. DC is AD + 4. AD can be 2, AB can be 4, and DC can be 8.
2(2) = (8 - 4)
4 = 4 :)
Looks like it works! You should probably ask your teacher/parents for help with this one, it looks a little odd. But that's the best I can do for you. :)
Answer:
Step-by-step explanation: i need help too hope u find ur problem
:o
What is a expression for multiply by 7 by the difference of 6 and 2
Answer:
7 × (6 - 2)
Step-by-step explanation:
difference of 6 and 2: 6 - 2
difference of 6 and 2 multiplied by 7: 7 × (6 - 2)
Answer: 7*(6-2)
Step by Step Explanation: Change the words into math signs
PLEASE HELP ASAP WILL GIVE BRANLIST Which equation represents the graph?
Y=-2/5x+8
Y=-5/2x+8
Y=-5/2x-3
Y=2/5x- 3
A curved line represents the graph of a non-linear function. A curved line is one whose direction changes over time.
How do you draw a linear graph?Linear refers to straight, and a graph is a figure that depicts the relationship between two or more quantities. So, the simplest definition of a linear graph is a straight line or straight graph constructed on a plane to connect two points with x and y coordinates.
The two-variable linear equation 3x - 7y = 16 has three variables. Instance For the equation 2x + y = 8, Mike must create a linear graph. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, draw a horizontal line using a ruler. Look at the value on the -axis. Examining the information on the graph's plot can help you distinguish between a linear and a quadratic graph.
Therefore the correct answer is Y=2/5x- 3 .
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