Answer:
531,441
Step-by-step explanation:
27x27x27x27
Answer:
531,441
Step-by-step explanation:
27 to the 4th power can also be:
27 x 27 x 27 x 27
729 x 27 x 27
19,683 x 27
531,441
Help with evaluate and graph PLEASE HURRY
Answer:
Box 1 = -1
Box 2 = 8
Box 3 = 14
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
Jason has bought a new pool and has already measured some of the sides. Using the figure below and your knowledge of quadrilaterals, solve for x and y.
Answer:
x = 12
y = 12
Step-by-step explanation:
Each triangle is a right angle triangle
5² + x² = 13²
x² = 169 - 25
x = √144
x = 12
The shape is a parallelogram
Therefore
x = y
y = 12
3x+6x-4=24
9x-4=24/+4
9x=28/:9
x=?
3x + 6 - 4 = 24
3x + 2 = 24
[ 3x + 2 ] + [ -2 ] = 24 + [ -2]
x = 22÷3
9x - 4 = 24/4
9x - 4 = 6
[9x-4] + 4 = 6+4
x=10÷9
9x-28/9
9x.9/9 - 28/9
81x-28/9
x=31
A certain state uses the following progressive
tax rate for calculating individual income tax:
Income
Range ($)
Progressive
Tax Rate
0-3000
2%
3001 - 5000
3%
5001 - 17,000
5%
17,001 and up
5.75%
Calculate the state income tax owed on a $90,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount.
Enter
Answer:
$4918
Step-by-step explanation:
You want the tax owed on $90,000 using the given tax rate table.
Tax computationThe tax is the sum of the amounts of tax due in each income range.
tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)
= 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))
= 0.0575(90,000) -(127.50 +100 +30)
= 5175 -257.50 = 4917.50
Rounded to the nearest dollar, the tax due is $4,918.
__
Additional comment
The tax will be the maximum of ...
0.02x0.03x -30 . . . . . . . . . . applicable over 30000.05x -130 . . . . . . . . . .applicable over 50000.0575x -257.50 . . . . applicable over 17000You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.
<95141404393>
Please help if you can, this is due tomorrow.
In the diagram below, $\angle BAC=24^\circ$ and $AB=AC$.
If $\angle ABC=y^\circ$, what is the value of $y$?
[asy]
size(4.25cm);
pair a=(0,cos(pi/15)); pair b=(-sin(pi/15),0); pair c=-b; pair d=c+(1,0);
dot(a); dot(b); dot(c);
draw(c--a--b--c);
draw((2*a+3*b)/5-0.05*(cos(pi/15),-sin(pi/15))--(2*a+3*b)/5+0.05*(cos(pi/15),-sin(pi/15)));
draw((2*a+3*c)/5-0.05*(cos(pi/15),sin(pi/15))--(2*a+3*c)/5+0.05*(cos(pi/15),sin(pi/15)));
label(scale(0.75)*"$24^\circ$",a-(0,0.3),S);
label("$A$",a,N);
label("$B$",b,SSW);
label("$C$",c,S);
label(scale(0.85)*"$y^\circ$",b,NE);
[/asy]
The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
What is equation?Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.
From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.
This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.
In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
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Answer:
78
Step-by-step explanation:
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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T Lesson_3_Solve_for_y_Practice.pd 100 15 12. Use the graph to the right to evaluate the following: b. f(2)= 10 c. f) = - d. Find z if f(x) = 2. e. Find x if f(x) = 8 13. Given the mapping diagram, identify the ordered pairs, complete the table and graph, then state the domain & range and determine if the relation is a function and EXPLAIN.
f(4) is nothing but the value of function or value of the y coordinate when x = 4
so from graph
the value of y at x= 4 is 1
so f(4) = 1
also f(2)= 0
and f(0) = 0
Use the guess-and-check method to find the solution of the equation.
3x + 5 = 32
X=
Answer:
x = 9
Step-by-step explanation:
Just guess the answer for x. For example 8, 3 times 8 equals 24 and 24 plus 5 would equal 29 so that's incorrect. How about 9? 3 times 9 equals 27 and 27 plus 5 would equal 32 so the answer is, x = 9.
In 2001, a school population was 1696. By 2007 the population had grown to 2614.
1) How much did the population grow between the year 2001 and 2007?
students
2) How long did it take the population to grow from 1696 students to 2614 students?
years
3) What is the average population growth per year?
students/year
4) What was the population in the year 2000?
students
5) Find an equation for the population,
P
, of the school
t
years after 2000.
P
=
6) Using your equation, predict the population of the school in 2011.
students
Answer:
grew by 6
Step-by-step explanation:
Can I get help with this one too?
Using the concept of simple interest and compound interest, the first equation is \(S = 200(1.1)^t\), while the second is S = 250 + 20t
c. It will take over 7 years for the accounts to be equal.
What is the similarities and difference between simple interest and compound interest?The similarities between simple interest and compound interest is that both deals with saving of money over certain period of time with a fixed rate. While the difference between both is that in compound interest, the interest are compounded while in simple interest it is not. This implies that compound interest is an exponential function while simple interest is a linear function.
Simple interest = P(1 + rt)
P = principalr = ratet = timeCompound interest = P(1 + r/n)ⁿˣ
x = time in this casen = number of times compoundedTo solve this, we can write equations;
For the first scenario;
\(S = 200(1.1)^t\)
S = amount in accountt = timeFor the second scenario;
S = 250 + 20t
NB: The first case is a compound interest while the second is a simple interest.
c. To determine when the two accounts will be equal;
\(250 + 20t = 200(1.1)^t\)
Solving for t;
t = 7.01 ≈ 7 years
Therefore, it will take over 7 years for the accounts to be equal
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2x-3=y+1 equals to 2x4=y right?
Answer:
Yes
Step-by-step explanation:
Those 2 equations both are the same thing.
How could you use coordinate geometry to prove that segment bc is parallel to segment ad?.
The shape is a parallelogram if the opposite sides of the quadrilateral are equal. The opposing factions, or BC and AD, will move side by side. Lines BC and AD are parallel if their slopes are equal. Hence, options A) and C) are the best ones.
What is parallelogram?A unique kind of quadrilateral known as a parallelogram is defined by having both pairs of its opposite sides parallel and equal. One kind of quadrilateral exists as a parallelogram.
There are four sides to this two-dimensional figure. The opposite sides of a parallelogram must be parallel and congruent, and their angles must also be equal on both sides.
Given:
ABCD in a quadrilateral.
If the opposite sides of the quadrilateral are equal, the shape is a parallelogram.
Hence, in accordance with this definition of a parallelogram, BC and AD will be parallel along their opposite sides.
The two lines will be parallel if they both have the same slope and make the same angle with the x-axis.
When the slopes of lines BC and AD are same, the lines are parallel.
Hence, the choices that are correct are A) Show that the slopes are equal and C) Show that the lengths are equal.
The complete question is:
How could you use coordinate geometry to prove that segment BD and segment AC bisect one another?
Prove the slopes are the same
Prove the slopes are opposite reciprocals.
Prove the lengths are the same
Prove the midpoints are the same.
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Susan recorded the time she ate dinner and the number of calories she consumed during dinner for six consecutive days. The results are shown in the table.
Answer:
d
Step-by-step explanation:
there isnt a precise correlation between the time and the calories
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
Answer:
Step-by-step explanation:
Question
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
1.5 (-2)^(n-1) > -6000
Find n (n is integer)
Answer:
что там а? я даже не знаю hehe
definition of arc????
Answer: a part of the circumference of a circle or other curve
Step-by-step explanation:
In general, an arc is any smooth curve joining two points. The length of an arc is known as its arc length
Answer:
Step-by-step explanation:
If a polynomial function f(x) has roots 3+root5 and -6, what must be a factor of f(x)? (X+(3-root5) (x-(3-root5)) (x+(5+root3)) (x-(5-root3))
Answer:
\((x-(3+\sqrt5))\) or \((x-3-\sqrt5)\) is a factor of the given polynomial.
Step-by-step explanation:
Let us learn the concept with an example first.
Let the polynomial be a quadratic function \(g(x)\).
\(g(x) = x^{2} -5x+6\)
The roots of \(g(x)\) are 2 and 3.
Putting \(x= 2\ in \ g(x)\)
\(2^2-5\times 2+6 = 4-10+6 =0\)
Putting \(x= 3\ in \ g(x)\)
\(3^2-5\times 3+6 = 9-15+6 =0\)
Putting x = 2 or x = 3, g(x) = 0 \(\therefore\) The roots of equation g(x) are 2 and 3.
Now, let us try to factorize g(x):
\(x^{2} -2x-3x+6\\\Rightarrow x(x -2)-3(x-2)\\\Rightarrow (x-3)(x-2)\)
so, the equation can be written as:
\(g(x) = x^{2} -5x+6=(x-3)(x-2)\) where 3 and 2 are the roots of equation.
The factors are (x-3) and (x-2).
\(\therefore\) for the polynomial f(x) which has roots \(3+\sqrt5\ and\ -6\) will have a factor:
\((x-(3+\sqrt5))\) or \((x-3-\sqrt5)\)
contains (1,1) and has a shape of f(x)=2x^2 vertex is on the y axis
ANSWER
| x=0
Step-by-step explanation:
f(x) = 2x²
Rewrite the function by completing the
square
f(x)
= 2x²
Find the symmetry
X = 0
3/4 x ( 2 2/5 - 5/6 )
Answer:
it is super easy I am in level 7 and I have learnt it try ask your mom about the answer I know it, I will tell after you ask your mom then tell me you asked her so I will tell
If you deposit $50 in checks in your account with $100 cash amount, what is your total deposit?
what are these two answers
Answer:
5 < x
Step-by-step explanation:
I just learned this stuff in class yw
Find the domain and range.
Answer:
Domain: -5 < x ≤ 1
Range: -3 ≤ y ≤ 1
Step-by-step explanation:
For domain, the point on the most left is an open circle, meaning it is a greater than sign. The values of x is greater than -5 and less than or equal to 1.
For range, the lowest point is at -3, and the highest is at 1. Therefore, the range is greater than or equal to -3 and less than or equal to 1.
Answer:
Domain: -5 < x ≤ 1
Range: -3 ≤ y ≤ 1
help me by marking as brainliest....
Robert likes to do many activities on Saturdays. How much time did Robert spend on all these activities in total? Activity breakfast Duration 25 minutes play outside 2 hours and 45 minutes lunch 35 minutes watch a movie 1 hour and 15 minutes
Answer:
Step-by-step explanation:
1hr+2hr=3 hrs
3x60= 180min
180+25+45+35+15=300min
300/60= 5
5 hrs.
WILL MARK BRAINLIEST
Use the function below to find F(3)
F(x)=(1/5)^x
The value of the function F(3) will be 1/125. It is obtained by putting the value 3 in the place of x.
What is a function?A connection between independent variables and the dependent variable is defined by the function. Functions help to represent graphs and equations.
A function is represented by the two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable.
F(x)=(1/5)ˣ
F(3)=(1/5)³
F(3)=1/125
Hence, the value of the function F(3) will be 1/125.
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(6-2x) +(15-3x) where x=0.2
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Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)
Substituting \(\displaystyle\sf x=0.2\):
\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)
Simplifying the expression inside the parentheses:
\(\displaystyle\sf (6-0.4) +(15-0.6)\)
\(\displaystyle\sf 5.6 +14.4\)
Calculating the sum:
\(\displaystyle\sf 20\)
Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
26. Ebele shared a basketful of groundnuts with her two sisters. If she gave the first sister 2/8 and the second sister 3/8 of the total quantity of groundnuts, what percentage of the groundnuts did she keep for herself?
Answer:
37.5%
Step-by-step explanation:
Ebele gave her two sisters a total of 62.5% of groundnuts. She kept 37.5% to herself.
2/8 + 3/8 = 5/8
5/8 = 0.625 = 62.5%
100 - 62.5 = 37.5
please help quickly need
Answer:
Step-by-step explanation:
its 186
Please I need help with this
HELP PLEASE, 10 points
The diameter of the hemisphere is 16 inches. What is the total surface area of the hemisphere?
Round to the nearest whole number.
Answer:
Step-by-step explanation:
d = 16 cm
r =16/2= 8 cm
Total surface area = 3πr² cubic units
= 3 * 3.14 * 8 * 8
= 602.88
= 603 cm²