Answer:
4
Step-by-step explanation:
3³=27
6-³=1/216
2^5=32
27X1/216x32
=4
The sale price of a swimming pool after a 18.5% discount is $1092.10. Find the original list price of the pool.
Rate of change of rational functions
Answer:
0.635
Step-by-step explanation:
[tex]rate~of~change = \dfrac{f(x_2) - f(x1)}{x_2 - x_1}[/tex]
[tex]rate~of~change = \dfrac{f(x_2) - f(x1)}{x_2 - x_1}[/tex]
[tex] x_1 = 0 [/tex] [tex]x_2 = 0.3[/tex]
[tex] f(x) = \dfrac{-7x^3}{x^4 - 1} [/tex]
[tex] f(x_1) = f(0) = \dfrac{-7(0)^3}{(0)^4 - 1} [/tex]
[tex] f(x_1) = \dfrac{0}{-1} = 0 [/tex]
[tex] f(x_2) = f(0.3) = \dfrac{-7(0.3)^3}{(0.3)^4 - 1} [/tex]
[tex]f(x_2) = \dfrac{-0.189}{-0.9919} = 0.190543[/tex]
[tex] rate~of~change = \dfrac{0.190543 - 0}{0.3 - 0} = 0.635 [/tex]
5/6 equals 1/3 plus d what does d equal
It equals 1 1/6 + d.
In other words, one and one sixth plus d.
The quotient of 4 and five times t
Answer:
[tex]\frac{4}{5t}[/tex]
Step-by-step explanation:
Quotient means division, and 5 times t is 5t, as we are simplifying. Since 4 comes first in the question or sentence, 4 must be the nominator; therefore, 5t is the denominator.
The answer would then be [tex]\frac{4}{5t}[/tex].
Hope this helped!
What next three numbers come in this sequence 1/4, 1/2, 3/4
Answer:
4/4, 1 1/4, 1 1/2, 1 3/4
Step-by-step explanation:
It moves by fourths so it goes 1/4, 2/4, 3/4, and so on.
Hope This Helps :)
4/4, 5/4, and 6/4 will come in the given sequence of the pattern.
What is the pattern?A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.
The hint which is present in a given pattern hides in the pattern only.
For example 2,4,6,8 in this, the difference between any two-term is only 2 and this will be its specific pattern.
Another example is 2,4,16,256 in this pattern each term is the square of the previous term and this will become its specific pattern.
Given the pattern,
1/4, 1/2, 3/4
Now if we look then we will get to know that if we add 1/4 consecutively then the next term will come.
For example
1/4 + 1/4 = 1/2
1/4 + 1/4 + 1/4 = 3/4
So,
The next three terms will be
4/4,5/4 and 6/4.
Hence "4/4, 5/4, and 6/4 will come in the given sequence of the pattern".
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A group incoming first-year students at Major University were surveyed in order to determine the factors that influenced their decisions to choose to attend Major U. The survey revealed the following information. 55 said "great football team" (F) 51 said "excellent party reputation" (P) 61 said "it was the only place that would accept me" (O) 9 said "great football team" but didn't say "excellent party reputation" and didn't say "it was the only place that would accept me" 26 said "it was the only place that would accept me" and "great football team" and "excellent party reputation" 31 said "excellent party reputation" and "great football team" 8 said only "excellent party reputation" 4 said none of the above reasons Required:a. How many said "it was the only place that would accept me" and "excellent party reputation"? b. How many said "great football team "or "it was the only place that would accept me"? c. How many said "great football team "but no "excellent party reputation"? d. How many were surveyed?
Answer:
Step-by-step explanation:
This is a problem of SETS.
Start by listing out important data:
1. Total that said F = 55
2. Total that said P = 51
3. Total that said O = 61
4. F only = 9
5. F ∩ P ∩ O = 26 [NOTE: If you were to draw a Venn Diagram, 26 would be in the innermost circle because it comprises all three categories]
6. F ∩ P = 31
7. P only = 8
8. Students that said none of the 3 reasons = 4
QUESTIONS
1. How many said O and P? In other words, find the intersect of O and P. Find O ∩ P
2. How many said either F or O? [Answer to be gotten using a venn diagram] Find F ∪ P which translates to "F union P"
3. How many said F without saying P? [Answer to be gotten from the venn diagram as well]
4. How many students in total were surveyed? [HINT: Remember to include the 4 students that had none of the three options]
A) 12 said "it was the only place that would accept me" and "excellent party reputation"; B) 17 said "great football team" or "it was the only place that would accept me"; C) 24 said "great football team" but no "excellent party reputation"; and D) 87 students were surveyed.
Given that a group incoming first-year students at Major University were surveyed in order to determine the factors that influenced their decisions to choose to attend Major U, and the survey revealed that 55 said "great football team" (F), 51 said " excellent party reputation "(P), 61 said" it was the only place that would accept me "(O), 9 said" great football team "but didn't say" excellent party reputation "and didn't say" it was the only place that would accept me ", 26 said" it was the only place that would accept me "and" great football team "and" excellent party reputation ", 31 said" excellent party reputation "and" great football team ", 8 said only "excellent party reputation", and 4 said none of the above reasons, to determine:
A) How many said "it was the only place that would accept me" and "excellent party reputation"?
B) How many said "great football team" or "it was the only place that would accept me"?
C) How many said "great football team" but no "excellent party reputation"?
D) How many were surveyed?
The following calculations must be performed:
F = 55 (F = 9 + FP = 5 + FO = 15 + FPO = 26) = 55 - (26 + 9) = 20 - (31 - 26) = 15 = 9 + 5 + 15 + 26 = 55 // / FO = 15 /// FP = 5 P = 51 (P = 8 + PF = 5 + PO = 12 + PFO = 26) = 51 - 8 - 5 - 26 = 12 /// PO = 12 O = 61 (O = 8 + OP = 12 + OF = 15 + OPF = 26) = 61 - 12 - 15 - 26 = O = 8 None = 4 4 + 9 + 8 + 8 + 5 + 12 + 15 + 26 = X 87 = X
Therefore, A) 12 said "it was the only place that would accept me" and "excellent party reputation"; B) 17 said "great football team" or "it was the only place that would accept me"; C) 24 said "great football team" but no "excellent party reputation"; and D) 87 students were surveyed.
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[tex]1 \frac{3}{4} [/tex]
The square of the number. answer has to be a mixed number
Answer:
[tex]3 \frac{1}{16} [/tex]
Step-by-step explanation:
first lets change the question into proper fraction
[tex]1 \frac{3}{4} = \frac{7}{4} [/tex]
now lets find the square of the number
[tex] { \frac{7}{4} }^{2} = \frac{49}{16} [/tex]
The question says the answer must be a mixed number so lets change it
[tex] \frac{49}{16} = 3 \frac{1}{16} [/tex]
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Solve. 3 x+2y−z=8 2x+2z=−4 x+3y=4 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. ( , , )
Answer:
x = 1 , y = 1 , z = -3
Step-by-step explanation:
Solve the following system:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x + 3 y = 4
Hint: | Choose an equation and a variable to solve for.
In the third equation, look to solve for x:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x + 3 y = 4
Hint: | Solve for x.
Subtract 3 y from both sides:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x = 4 - 3 y
Hint: | Perform a substitution.
Substitute x = 4 - 3 y into the first and second equations:
{3 (4 - 3 y) + 2 y - z = 8
2 (4 - 3 y) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 3 (4 - 3 y) + 2 y - z = 8.
3 (4 - 3 y) + 2 y - z = (12 - 9 y) + 2 y - z = 12 - 7 y - z:
{12 - 7 y - z = 8
2 (4 - 3 y) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 2 (4 - 3 y) + 2 z = -4.
2 (4 - 3 y) + 2 z = (8 - 6 y) + 2 z = 8 - 6 y + 2 z:
{12 - 7 y - z = 8
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{12 - 7 y - z = 8
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Isolate terms with y to the left hand side.
Subtract 12 - z from both sides:
{-7 y = z - 4
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Solve for y.
Divide both sides by -7:
{y = 4/7 - z/7
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Perform a substitution.
Substitute y = 4/7 - z/7 into the second equation:
{y = 4/7 - z/7
8 - 6 (4/7 - z/7) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 8 - 6 (4/7 - z/7) + 2 z = -4.
8 - 6 (4/7 - z/7) + 2 z = 2 z + ((6 z)/7 - 24/7) + 8 = (20 z)/7 + 32/7:
{y = 4/7 - z/7
(20 z)/7 + 32/7 = -4
x = 4 - 3 y
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for z:
{y = 4/7 - z/7
(20 z)/7 + 32/7 = -4
x = 4 - 3 y
Hint: | Isolate terms with z to the left hand side.
Subtract 32/7 from both sides:
{y = 4/7 - z/7
(20 z)/7 = -60/7
x = 4 - 3 y
Hint: | Solve for z.
Multiply both sides by 7/20:
{y = 4/7 - z/7
z = -3
x = 4 - 3 y
Hint: | Perform a back substitution.
Substitute z = -3 into the first equation:
{y = 1
z = -3
x = 4 - 3 y
Hint: | Perform a back substitution.
Substitute y = 1 into the third equation:
{y = 1
z = -3
x = 1
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 1 , y = 1 , z = -3
Solve by factoring plz show all steps need ASAP
Please help thank youuu
Answer:
D: 61 degrees.
Step-by-step explanation:
right angles add up to 90 degrees.
Answer:
61 degrees
Step-by-step explanation:
29+x=90
x=90-29
x=61
If 26.97 ÷ 6.3 is written in long division form as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Between the 2 and the 6
Between the 6 and the 9
Between the 9 and the 7
Between the 7 and the 0
The decimal point should be placed between digits 9 and 7 in the dividend. i.e the dividend becomes 269.7
Step-by-step explanation:
Dividend = 26.97 [numerator]
Divisor = 6.3 [denominator]
If 26.97 ÷ 6.3 is written in long division form so that the divisor is written as a whole number, we have the following;
(i)First convert the divisor to a whole number by multiplying by 10 i.e
6.3 x 10 = 63
(ii) Since the divisor (denominator) has been multiplied by 10, to make sure the division expression stays the same, we need to multiply the dividend(numerator) too by 10. i.e
26.97 x 10 = 269.7
(iii) The division expression then becomes;
269.7 ÷ 63
Therefore, the decimal point should be placed between digits 9 and 7 in the dividend.
can you give me Brainliest
Answer:
9 and 7
Step-by-step explanation:
26.6.3 is long division set up 63 is out of the division symbol and 26970.
Hello i need some help!
Answer:
3×2 + 3×-b
Step-by-step explanation:
[tex]3(2-b)\\= 3\times 2 + 3\times (-b)\\\\= 6 -3b[/tex]
what is the answer for -9+x=-26
Answer:
x =-17
Step-by-step explanation:
[tex]-9+x=-26\\\\\mathrm{Add\:}9\mathrm{\:to\:both\:sides}\\-9+x+9=-26+9\\\\Simplify\\x=-17[/tex]
The diagonals of a rhombus are 4 inches and 18 inches. How long are the sides?
What are the features of the quadratic function graphed in the figure? Question 14 options: A) Vertex = (–4,3), y-intercept = (5,0), x-intercepts = (0,1) and (0,5), axis of symmetry is x = –4 B) Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3 C) Vertex = (3,–4), y-intercepts = (1,0) and (5,0), x-intercept = (0,5), axis of symmetry is x = 3 D) Vertex = (–3,4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = –3
Answer:
B
Step-by-step explanation:
The vertex is the bottom-most point of the curve located at the halfway point. The x coordinate of the point is 3, and the y coordinate is -4. The places at which the quadratic hits the x axis are at (1,0) and (5,0), and it hits the y axis at (0,5).
Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3. Therefore, option B is the correct answer.
We need to find the features of the quadratic function graphed in the figure.
What is a vertex in the graph?"Vertex" is a synonym for a node of a graph, i.e., one of the points on which the graph is defined and which may be connected by graph edges.
The features of the quadratic function are as follows:
The vertex is the bottom-most point of the curve located at the halfway point. The x -coordinate of the point is 3, and the y -coordinate is -4. The places at which the quadratic hits the x-axis are at (1,0) and (5,0), and it hits the y-axis at (0,5).
Therefore, option B is the correct answer.
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Which type of transformation is shown here?
Answer:
this one is Rotation
Step-by-step explanation:
it's going to flip on the side
one more than seven times the difference of a number and 4 is equivalent to twice the difference of the number and 1
Answer:
the number is 5
Step-by-step explanation:
We have to find the equation to solve the problem.
Let the number be x
lets write one more than seven times the difference of a number and 4 in mathematical form
1. Difference of number and 4 will be written as x - 4
now
2. seven times the difference of a number and 4 will be written as
7*( x - 4)
3. one more than seven times the difference of a number and 4 is expressed as
1 + 7*( x - 4)
_____________________________________________
1 + 7*( x - 4) is equal to twice the difference of the number and 1
4. difference of the number and 1 is x - 1
5. twice the difference of the number and 1 is 2*(x-1)
Thus,
1 + 7*( x - 4) = 2*(x-1)
=> 1 + 7x - 28 = 2x -2
=> 7x - 27 = 2x - 2
adding 27 both sides
=> 7x - 27 + 27 = 2x - 2 + 27
=> 7x = 2x + 25
subtracting 2x from both sides
7x -2x = 2x + 25 - 2x
=> 5x = 25
dividing both side by 5
5x/5 = 25/5
x = 5
Thus, the number is 5 answer
Solve for x.
2x/3 + 1 = 3
x = 1
x = 2
x = 3
x = 6
Answer:
The correct answer is x=3 trust me. Im good at math got 1st place on 1v1 equations in my school hope this helped.
Step-by-step explanation:
Answer:
[tex]\boxed {\tt x=3}[/tex]
Step-by-step explanation:
We want to solve for x, therefore we must isolate the variable.
We are given the equation:
[tex]\frac{2x}{3} +1=3[/tex]
1 is being added to 2x/3. The inverse of addition is subtraction. Subtract 1 from both sides of the equation.
[tex]\frac{2x}{3}+1-1=3-1[/tex]
[tex]\frac{2x}{3} =2[/tex]
2x is being divided by 3. The inverse of division is multiplication. Multiply both sides by 3.
[tex]3*\frac{2x}{3} =2*3[/tex]
[tex]2x=2*3[/tex]
[tex]2x=6[/tex]
x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=\frac{6}{2}[/tex]
[tex]x=3[/tex]
The solution to the equation is x=3.
3x + 5 =11 use the subtraction property of equality
Answer: the answer to the equation would be x=2
Step-by-step explanation:
You would use the subtraction property of equality to get ride of the five. Then you would subtract 11 by 5 and get 6. After that you would get the x by itself and divide it by 3. Them you will also divide 6 by 3 And be left with 2.
In the figure above, triangle ABC is inscribed in the circle with center O and diameter AC. If AB=AO, what is the degree measure of∠ABO?
(A) 15°
(B) 30°
(C) 45°
(D) 60°
Solve 10-5x+1=7x+11-12
Answer:
x=1
Step-by-step explanation:
Let's solve your equation step-by-step.
10−5x+1=7x+11−12
Step 1: Simplify both sides of the equation.
10−5x+1=7x+11−12
10+−5x+1=7x+11+−12
(−5x)+(10+1)=(7x)+(11+−12)(Combine Like Terms)
−5x+11=7x+−1
−5x+11=7x−1
Step 2: Subtract 7x from both sides.
−5x+11−7x=7x−1−7x
−12x+11=−1
Step 3: Subtract 11 from both sides.
−12x+11−11=−1−11
−12x=−12
Step 4: Divide both sides by -12.
−12x
−12
=
−12
−12
x=1
If a house is worth $125,000 and depreciates by 7.5% per year, how much is it worth in two
years?
Answer:
18750
Step-by-step explanation:
so since it's 2 years we have to double 7.5 which is 15%. Then we multiply 15 x 125,000 which is 18,750
After two years of depreciation the house would be worth approximately $106,953.
To calculate the worth of the house after two years of depreciation, you need to apply the depreciation rate for each year.
After the first year, the value of the house would decrease by 7.5%.
So, the worth of the house after one year is:
125,000 - (7.5% of 125,000)
= 125,000 - (0.075 × 125,000)
= 125,000 - 9,375
= $115,625.
Now, to find the worth of the house after the second year, you need to apply the depreciation rate again:
115,625 - (7.5% of 115,625)
= 115,625 - (0.075 × 115,625)
= 115,625 - 8,671.88
= 106,953.
So, the house would be worth approximately $106,953 after two years of depreciation.
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Josie found a job with an annual salary of $67.3K. What is her monthly pay, rounded to the nearest dollar?
Answer:
$5,608
Step-by-step explanation:
Since there are 12 months in one year, divide her annual salary by 12.
$67,300/12 = $5,608.33 ≈ $5,608
Josie makes $5,608 per month.
Answer:
5608
Step-by-step explanation:
annual salary=$67.3k
it is annual
so
monthly salary=$67.3÷12
=$5608.33333333
rounded off top the nearest dollar= $5608
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-9 would be a part of which group(s)? *
Natural
Whole
Integer
Rational
What is the answer
Answer:
Integer, Rational
Step-by-step explanation:
Natural numbers are the basic counting numbers (1,2,3...) and does not include negatives.
Whole numbers are natural numbers with the addition of zero, and still does not include negatives.
Integers are all whole numbers and their negative counterparts, which includes -9.
Rational numbers are numbers that can be expressed as a fraction and -9 can be expresses as -9/1, so -9 is a rational number.
Hope this helps!
Calculus Ch. 1.2 Classwork Problems Evaluating limits Graphically
Answer:
8) 1
9) -4
10) -3
11) -1
12) 1
13) doesn't exist
14) 1
15) doesn't exist
Step-by-step explanation:
8) when we approach x=-8 from left and from right, the function tends towards the value 1
9) when we approach x = -7, from the left the function gets towards 0, while when we approach it from the right it gets closer to -4
10) f(-3) = -3
11) When x approaches the value 4 from the left and from the right, f(x) gets closer to -1
12) f(4) is defined as 1
13) f(6) doesn't exist
14) When x approaches 6 from the left and from the right, the function approaches 1
15) When x approaches the value 7 from the left the function gets closer to 2, while when we approach x = 7 from the right the function gets toward 7. Because of this discrepancy, the limit doesn't exist.
A bicycle is traveling at 20 miles per hour.
How many feet will it cover in 25 seconds?
Round your answer to the nearest tenth of a foot.
Answer:
Distance= 73.333 feet
Step-by-step explanation:
Speed of the bicycle= 20 miles per hour
1 mile =
5280 feet
I hour= 3600 seconds
Speed in feet/seconds=( 20*5280)/(3600)
Speed in feet/second= 29.333 feet/s
Distance= speed*Time
Distance= 29.333*25
Distance= 73.333 feet
What values of X make the two expressions below equal?
Answer:
A
Step-by-step explanation:
they dont come out the same
what is the sum of 0.64 and 0.28
Answer:
0.92
Here is my work:
+1
0.64
+ 0.28
__________
0.92
(the +1 is the carrying of the one)
Hope this helps!!
The answer would be 0.92 after adding 0.64 and 0.28 and applying the arithmetic operation.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that:
The numbers are 0.64 and 0.28
= 0.64 + 0.28
After applying arithmetic operations,
= 0.92
Thus, the answer would be 0.92 after adding 0.64 and 0.28 and applying the arithmetic operation.
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Is -5/13 a rational number
Answer:
yes -5/13 is a rational number
Solve 3[-x + (2 x + 1)] = X-1.
X =
Answer:
-2
Step-by-step explanation:
took the test