Power is the result of multiplying same number for n number of times. The value of the given expression when simplified is equal to 75.
What is power?Power is the result of multiplying same number for n number of times. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The given expression can be simplified as shown below.
(5⁴ × 3³) / (5² × 3²)
= (625 × 27) / (25 × 9)
= 16,875 / 225
= 75
Hence, the value of the given expression when simplified is equal to 75.
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part a a wall is covered with 6 wood panels. each panel is a square with a side length of x feet. write an expression to represent the total area, in square feet, covered by the wood panels. the expression for total area: part b a rectangle has a length of 6 centimeters and a width of x 10 centimeters. write expressions to represent the perimeter of the rectangle. the expression for perimeter: part c write expressions to represent the area of the rectangle.
6x² is the total area, in square feet, covered by the wood panels.
What is area?
The region that an object's shape defines as its area.The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.A wall is covered with 6 wood panels. Each panel is a square with a side length of "X" feet.So based on this, we can say that The expression to represent the total area, in square feet,
So, the wood panels is to be considered as the 6 × x² = 6x²
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2.5x17 pls some on solve it
Answer:
42.5
Step-by-step explanation:
You have to multiply 7 times 5 equals 35. Then you multiply 7 times 2 which is 14 plus 3 equals 5. So you have 175 as the first number. Then you put a 0 under that number. You multiply 5 times 1 which is 5 and 2 times 1 which is 2. Now you have 250 as your second number.
Add 175 plus 250 which is 425 but you have to put the decimal between 2 and 5. Now you have 42.5
Hope that helps
6. a.give the domain and range for the function graphed below. Explain why this graph represents a function.
b. what is the y intercept of the function shown in the graph.
c. identify any extrema of the function shown in the graph.
Answer:
A - Domain - [0,9] , Range - [0,3] , It represents a function because it passes the (vertical line test).
B - (0,0)
C - I'm not sure about this question but, If i would guess, (0,0) (9,3).
Step-by-step explanation:
For question C i think It means maximum and minimum points on the graph.
Im sorry if you get any of it wrong.
What is the result when the number 24 is increased by 25%?
Answer:
When i24 is increased by 25% the answer is 30
What is the perimeter of a rectangle with a length of 9x - 4 and a width of 5x + 2 ?
Answer:
28x-4
Step-by-step explanation:
Given
length (l)= 9x-4
Breadth (b) = 5x+2
Now
Perimeter (P) = 2(l+b)
=2(9x-4+5x+2)
=2(14x-2)
=28x-4
a translation along the directed line segment \overline{nb} nb start overline, n, b, end overline, then a reflection over the vertical line through point bbb.
A translation along the directed line segment NB then a reflection over the vertical line about B so sequence A is correct therefore option (A) will be correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
Given the triangle MNO and ABC
Now,
If we translate MNO along the directed line segment NB and reflect over B then M will coincide with A and N with B and O with C.
In sequence B if we reflect on MO then M will not coincide with A and it will not form a triangle ABC.
Hence "A translation along the directed line segment NB then a reflection over the vertical line about B".
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The given question has missed an image, incomplete question is given in the image,
What is the range of the function represented by the graph?
A.
y ≥ 1
B.
y ≤ 1
C.
1 ≤ y ≤ 6
D.
all real numbers
Answer:
A. y is more than are equal to 1
Step-by-step explanation:
range is y, lowest point is 1, highest is all real numbers, so range is anything more than 1
Answer:
B. y <= 1
Step-by-step explanation:
Because the function touches the point 1 on the y-line of the graph and goes upward into infinity, all values of y will be greater than or equal to one.
how many ways can a parent distribute five one-dollar bills to her three children? (b) how many ways can she accomplish this if each child gets at least one dollar?
By the concept of Permutations and Combinations, we get:
Number of ways to distribute 5 dollar bills among three children = 21
and
Number of ways to distribute 5 dollar bills such that each child gets at least one dollar = 6
What is permutations and combinations?A permutation is an orderly arrangement of the items or numbers. Combinations are a means to choose items or numbers from a collection or set of items without regard for the items' chronological sequence.Given:
Number of 1 dollar bills = 5Number of children = 3To find: (A) number of ways to distribute the dollar bills among the children
(B) number of ways to do the same if each child gets at least a dollar.
Finding:
By using the formula: [tex]\binom{n+r-1}{r-1}[/tex],
Number of ways to distribute 5 dollar bills among three children = [tex]\binom{5+3-1}{3-1} = \binom{7}{2}= \frac{7\times6}{2}[/tex] = 21 ways.
Similarly, upon modifying the above formula as: [tex]\binom{n-1}{r-1}[/tex],
Number of ways to distribute 5 dollar bills such that each child gets at least one dollar is =
[tex]\binom{5-1}{3-1}= \binom{4}{2}=\frac{4\times3}{2}[/tex] = 6 ways.
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-6(a+8) show your work
i need this ASAP
Answer:
-6a - 48
What is the distributive property?The distributive property states that for an expression a(b + c), it can be evaluated to ab + ac.
SolveTo distribute, expand the algebraic expression using the aforementioned policy.
[tex]-6(a+8)[/tex]
Multiply a and b together.
[tex]-6\times a=-6a[/tex]
Then, multiply a and c together.
[tex]-6\times8=-48[/tex]
Finally, add the two values together.
[tex]-6a+(-48)=-6a-48[/tex]
Final Answer[tex]\boxed{\bold{-6a-48}}[/tex]
Hey there!
Distributive Property formula:
a(b + c)
= a(b) + a(c)
= a * b + a * c
= ab + ac
Your equation: -6(a + 8)
Solving:
-6(a + 8)
= -6(a) - 6(8)
= -6 * a - 6 * 8
= -6a - 48
Therefore, your answer should be:
-6a - 48
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
BEED URGENT HELPPP!
(please help me answer these 3 questions, picture attached)
Questions:
1. what is the area of the whole rectangle?
( area = length * width )
2. what is the area of the shaded rectangle?
3. what is the area of the unshaded part of the rectangle? (area of the whole rectangle - area of the shaded part)
Answer: See below
Step-by-step explanation:
1) For the first question, we have to multiply the width by the length to find the area of the whole rectangle:
(4x-4)(x+1)= 4x^2 -4
2) For the second question, we have to multiply the width by the length to find the area of the shaded area in the rectangle:
(2x+2)(x-1)= 2x^2-2
3) The total area of the unshaded part of the whole triangle equals the area of the whole rectangle minus the shaded area:
4x^2-4 - 2x^2 -2 = 2x^2 - 6
I need help with this asap
Answer is 32.5 because the other ones isnt it
Find the focus and the directrix for the parabola with the given equation.
Answer:
[tex]\mathrm{Focus:\;\;} \left(-\frac{5}{3},\:2\right)[/tex]
[tex]\mathrm{Directrix:\;\;}x=-\frac{1}{3}[/tex]
Step-by-step explanation:
The standard equation for a parabola is
[tex]4p\left(x-h\right)=\left(y-k\right)^2[/tex]
with vertex at (h, k) and a focal length of |p|
[tex]\mathrm{Rewrite}\:x=-\frac{3}{8}\left(y-2\right)^2-1\:\mathrm{in\:the\:standard\:form}[/tex]:
[tex]\mathrm{Add\:}1\mathrm{\:to\:both\:sides}[/tex]
[tex]x+1=-\frac{3}{8}\left(y-2\right)^2-1+1[/tex] or
[tex]x+1=-\frac{3}{8}\left(y-2\right)^2[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-\frac{3}{8}[/tex]
[tex]\frac{x+1}{-\frac{3}{8}}=\frac{-\frac{3}{8}\left(y-2\right)^2}{-\frac{3}{8}}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-\frac{8x}{3}-\frac{8}{3}=\left(y-2\right)^2[/tex]
[tex]\mathrm{Factor\:}-\frac{8}{3}[/tex]
[tex]\left(-\frac{8}{3}\right)\left(x+\frac{-\frac{8}{3}}{-\frac{8}{3}}\right)=\left(y-2\right)^2[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\left(-\frac{8}{3}\right)\left(x+1\right)=\left(y-2\right)^2[/tex]
[tex]\mathrm{Factor\:}4[/tex]
[tex]4\cdot \frac{-\frac{8}{3}}{4}\left(x+1\right)=\left(y-2\right)^2[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4\left(-\frac{2}{3}\right)\left(x+1\right)=\left(y-2\right)^2[/tex]
[tex]\mathrm{We\; can\; rewrite\:this\;as}[/tex]
[tex]4\left(-\frac{2}{3}\right)\left(x-\left(-1\right)\right)=\left(y-2\right)^2[/tex]
Comparing this with the standard form we get
[tex]\left(h,\:k\right)=\left(-1,\:2\right)[/tex]
[tex]\:p=-\frac{2}{3}[/tex]
The parabola is symmetric around the x-axis.
The focus lies a distance [tex]p[/tex] from the center [tex]\left(-1,\:2\right)[/tex] along the x axis
So focus is at
[tex]\left(-1+p,\:2\right)[/tex] [tex]=\left(-1+\left(-\frac{2}{3}\right),\:2\right)[/tex] [tex]=\bold{ \left(-\frac{5}{3},\:2\right)}[/tex]
The parabola is symmetric around the x-axis and so the directrix is a line parallel to the y-axis at a distance -p from the center
[tex]x=-1-p[/tex]
[tex]x=-1-\left(-\frac{2}{3}\right) = \bold{-\frac{1}{3}}[/tex]
Find the center and radius of 2x^2 + 2y^2 - 12x + 8y - 24 = 0
When the equation of the circle is [tex]2x^{2} +2y^{2}-12x+8y-24=0[/tex], then the center of the circle is (3,-2) and the radius of the circle is 6.08 units.
The equation of the circle = [tex]2x^{2} +2y^{2}-12x+8y-24=0[/tex]
The general equation of the circle is [tex]x^{2} +y^{2}+2gx+2fy+c=0[/tex]
Where (-g,-f) is the coordinates of the circle
The equation of the circle = [tex]2x^{2} +2y^{2}-12x+8y-24=0[/tex]
Divide the equation by 2
[tex]x^{2} +y^{2}-6x+4y-12=0[/tex]
Compare the equation with general form
2g= -6
g= -3
2f= 4
f= 2
The center of the circle (-g,-f) = (3,-2)
The radius of the circle = [tex]\sqrt{g^{2}+f^{2}-c }[/tex]
Substitute the values in the equation
r= [tex]\sqrt{(-3)^{2}+2^{2}- (-24) }[/tex]
[tex]=\sqrt{9+4+24} \\=\sqrt{37}[/tex]
=6.08 units
Hence, when the equation of the circle is [tex]2x^{2} +2y^{2}-12x+8y-24=0[/tex], then the center of the circle is (3,-2) and the radius of the circle is 6.08 units.
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Write 2.1 terminating as a mixed number
Answer:
2 [tex]\frac{1}{10}[/tex]
Step-by-step explanation:
.10
change it to 10/100
reduce by 10
1/10
Answer: 2 1/10
Step-by-step explanation:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10^1(10). Next, add the whole number to the left of the decimal.
2 1/10
Solve the inequality for v.
-12+v<-10
Answer:
v < 2
Step-by-step explanation:
To solve this problem, start by adding 12 to each side of the inequality, to clear the -12 from the left side. 10 + (-12) is 2, so your answer is v < 2.
Hope this helps! Let me know if you have any confusion!
in a certain clothing store, the ratio of the number of full-time employees to the number of employees who are not full-time is 1 to 4. if 5 more full-time employees were hired, the ratio would be 2 to 3. how many employees are employed by the store?
Answer: Total number of employees are employed by the store = 15 employees.
Step-by-step explanation:
The ratio of Full time employees to Not Full time employees would be 1 to 4.
Let, Full time employees F =1
Not Full time employees N =4
We can write:
F/N = ¼
Cross multiply to get:
N=4F
If 5 more Full time employees were hired, then the ratio would be 2 to 3.
This would be mean there are no (F+5) Full time employees.
Also there are still Not Full time employees.
We can write:
(F+5) / N = 2/3
Cross multiply to get:
3(F+5) =2N
Expand to get:
3F+15=2N
Replace N with 4F to get:
3F+15=2(4F)
Solve to get:
3F+15=8F
15=8F-3F
15=5F
F=3
So, there are presently 3 Full time employees.
How many employees does the store have?
Since F=3,
we can use the equation N=4F
To help find the value of N Replace F with 3 to get:
N = 4(3)
Solve to get:
N=12
So, Full time employees F=3
Not Full time employees N=12
Then, Total number of employees = F+N
= 3+12
= 15.
Hence, Total number of employees = 15 employees.
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45,000 - (-800) = 45,800
Answer:
True
Step-by-step explanation:
I'm assuming this is a true or false question, and so the answer is true. Because two negatives (-) equal a positive. So, 45,000 - (-800) actually is 45,00 + 800 because there was as subtraction sign and a negative sign.
Answer:
Step-by-step explanation:
45,000-(-800)=45,800
45,000-(-800) does =45,800
Carl used 24 blocks to build a tower. Each block is a cube with side length of 2 inches. Use the formula v = s3 to find the volume of a cube. What is the volume of the tower?
Answer:
184
Step-by-step explanation:
Marques has a points card for a movie theater. • He receives 70 rewards points just for signing up. • He earns 9.5 points for each visit to the movie theater. • He needs 184 points for a free movie ticket. Write and solve an equation which can be used to determine v, the number of visits Marques must make to earn a free movie ticket. Equation:
JUST LOOKING FOR THE EQUATION!!!!
thank you!!!
Answer:
184-70
=114
114/9.5
=12
Step-by-step explanation:
1. Needed points is 184 and rewards points was 70
2. So he need extra 114 points for free movie ticket
3. 114 divide by 9.5 which is earn piont for every time he buy ticket
The equation 70 + 9.5x = 184 represents the situation and the number of visits is 12 if Marques has a points card for a movie theater.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Marques has a points card for a movie theater. • He receives 70 rewards points just for signing up
Let x be the number of visits.
The linear equation can be framed as follows:
70 + 9.5x = 184
9.5x = 184 - 70
After solving the above linear equation in one variable:
9.5x = 114
x = 12
Thus, the equation 70 + 9.5x = 184 represents the situation and the number of visits is 12 if Marques has a points card for a movie theater.
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in a _____ sequence, the ratio between consecutive terms is constant.
Answer:
Geometric.
Step-by-step explanation:
For example
2, 4, 8, 16
where the common ratio is 4/2 = 8/4 = 16/8 = 2.
Simplify
-4+6/2=
wjjjj
Answer:
good luck broooooooooooo
Answer:
-1
Step-by-step explanation:
→ -4 + (6/2)
→ -4 +3 = -1
So, the answer is -1.
Find the average rate of change for the function f(x)=3^x+17
Using the intervals x=3 to x=6
The average rate of change for the function will be 234.
What is the average rate change of a function?It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The function is given below.
f(x) = 3ˣ + 17
The value of the function at x = 3 will be
f(x) = 3³ + 17
f(x) = 27 + 17
f(x) = 44
The value of the function at x = 6 will be
f(x) = 3⁶ + 17
f(x) = 729 + 17
f(x) = 746
Then the average rate of change for the function will be
Average rate = [746 - 44] / [6 - 3]
Average rate = 702 / 3
Average rate = 234
The average rate of change for the function will be 234.
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4/9 es racional o irracional y porque?
Answer: 4/9 es racional - cualquier fracción adecuada x/y es un número racional. Expresado como un decimal, esto es igual a 0.4 recurrente (es decir, 0.44444...)
Step-by-step explanation: ¡Espero que esto ayude!
El número 4/9 es un número racional. Es una razón, o fracción, formada por dos números enteros, 4 y 9.
in a poll conducted by a certain research center, 1046 adults were called after their telephone numbers were randomly generated by a computer, and were able to correctly identify the
In a poll conducted by a certain research center, 1046 adults were called after their telephone numbers were randomly generated by a computer, and were able to correctly identify the random sampling.
Each sample has an equal chance of being chosen as part of the sampling technique known as random sampling. A randomly selected sample is intended to be a fair representation of the entire population.
In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a procedure for randomly choosing a sample.
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february $1$, $2008$ is a friday. the last friday of february $2008$ will be february $x$, $2008$. if $2008$ is a leap year, what is the value of $x$?
x= 29 which is Friday of that Month.
As 1st February 2008 is Friday
By adding 7 to the date we will get the next Friday Date of that month
i.e., 1 + 7= 8
i.e., 8 is Friday
Again if we will add 7 in 8 then we will get another Friday
so by adding again i.e., 8 + 7= 15 which is again Friday
Then 15 + 7 = 22 which is Friday.
adding again we will reach final to final answer 22+ 7 = 29 which is Friday
after adding 29 with 7 we will get 36 and as we know there are only 30/31 days in a month.
So, by adding 7 to the date we will reach the next week.
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HELP what is 1.025 × 10 5 . In standard form
Answer:
102500
Step-by-step explanation:
The result can be shown in multiple forms.
Scientific Notation:
1.025
10
5
Expanded Form:
102500
Brian invests £6600 into his bank account.
He receives 0.6% per year compound interest.
How much will Brian haverafter 6 years?
Give your answer to the
nearest penny where appropriate.
At 0.6% per year compound interest. Brian will get 6841.19 after 6 years.
What is compound interest?The interest earned on savings that is computed using both the original principle and the interest accrued over time is known as compound interest.
It is said that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely computed on the principal sum.
Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.
Based on the given conditions, formulate: 6600×(0.6%+1) 6
Evaluate the equation/expression: 6841.19264
Round the number: 6841.19
Answer: 6841.19
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Can someone please help me with proofs
[tex]\angle DAE \cong \angle DCF[/tex]
by CPCTC.
x3+y3+z3=k does anyone get this anyone?
Answer:
k = x^3+y^3+z^3
Step-by-step explanation:
Solve for k by simplifying both sides of the equation, then isolating the variable.
Hope this helps.
why are objective observations so important to science? group of answer choices they can be stated by anyone they are 100% free of bias they can only be done by trained scientists they produce the numbers used in scientific calculations they are helpful in removing bias
The objective observations are so important to science because they are helpful in removing bias.
Objective observations are simply the direct observation recorded by an observer. It does not contain any personal interpretation by the observer. So it can be considered as a bias less observation.
In a scientific study, objective observations are equal to facts. An objective observer will not have a predetermined mind. So that observation will not contain prejudice. That is why it is not biased. So an objective observation helps in removing bias. So they are important in Science.
The opposite of objective observation is subjective observation. In a subjective observation, there is a chance of personal interpretations.
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