Answer:
(-1)/2
Step-by-step explanation:
Simplify the following:
(-2)^3×3^0/4^2
4^2 = 16:
((-2)^3×3^0)/16
3^0 = 1:
(-2)^3/16
(-2)^3 = (-1)^3×2^3 = -2^3:
(-2^3)/16
2^3 = 2×2^2:
(-2×2^2)/16
2^2 = 4:
(-2×4)/16
2×4 = 8:
(-8)/16
The gcd of -8 and 16 is 8, so (-8)/16 = (8 (-1))/(8×2) = 8/8×(-1)/2 = (-1)/2:
Answer: (-1)/2
what is the equation?
Answer:
y=4x-3
Step-by-step explanation:
Biking at a constant rate, Elise travels 35 miles in 7 hours. If she travels at the same speed, how far will Elise bike in 9 hours.
Answer:
Elise would travel 45 miles if she biked for 9 hours at a constant speed.
Step-by-step explanation:
Please help by Oct 29 i don’t know what to do
Answer:
After ten months there will be around a population of 3460 rabbits.
Step-by-step explanation:
[tex]y = 60(1.5)^n[/tex]
[tex]y = 60(1.5)^{10}[/tex]
3459.9
3460
3x - 7y = 13; x = -3, 0, 3
Solve the equation for y.
and solve for x.
Answer:
when x = -3; y = -22/7
when x = 0; y = -13/7
when x = 3; y = -4/7
y = 3/7x - 13/7
x = 7/3y + 13/3
Step-by-step explanation:
x = -3; 3(-3) - 7y = 13; -9 - 7y = 13; -7y = 22; y = -22/7
x = 0; 3(0) -7y = 13; -7y = 13; y = -13/7
x = 3; 3(3) -7y = 13; 9 - 7y = 13; -7y = 4; y = -4/7
SOLVE FOR Y: 3x - 7y = 13; -7y = -3x + 13; y = 3/7x - 13/7
SOLVE FOR X: 3x - 7y = 13; 3x = 7y + 13; x = 7/3y + 13/3
Tell if the function is linear or nonlinear from a table.
Write a number in which the value of the digit 4 is 1100 of the value of the digit 4 in 140.37. Explain how you know the number you wrote meets the criteria.
This question was not correctly written
Complete Question
Write a number in which the value of the digit 4 is 1/100 of the value of the digit 4 in 140.37. Explain how you know the number you wrote meets the criteria.
Answer:
0.4
Step-by-step explanation:
1/100 of the value of the digit 4 in 140.37
4 in that number is Tens place value.
This mean , 4 × 10 = 40
Hence, 1/100 of 40 is :
40 × 1/100
= 40/100
= 0.4
Hence, the number in which the value of the digit 4 is 1/100 of the value of the digit 4 in 140.37 is 0.4
PLEASE ITS URGENT!!!
find the constant of proportionality for the table of values
X.
2
3
4
Y.
5
7.5
10
K=
Can someone help me with this math problem
Answer:
okay sure
Step-by-step explanation:
An aircraft flies at an average speed of 500 miles per hour. The expression 500t gives the distance traveled by the aircraft in t hours. Find the distance traveled by the aircraft in 8 hours The distance traveled by the aircraft in 8 hours is
Distance = 500 t
This equation means if we multiple 500 by the given time, we can determine the distance traveled.
Given in the question.
t = 8 hours
So we can substitute 8 into the equation.
Distance = 500 x 8
Distance = 4000 miles
Therefore, it traveled 4000 miles in 8 hours.
An expression is defined as a set of numbers, variables, and mathematical operations. The distance traveled by aircraft in 8 hours is 4,000 miles.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that the expression 500t gives the distance traveled by the aircraft in t hours. Therefore, the function can be written for distance as,
D(t) = 500t
where D is the distance in miles and t is the time in hours.
Now, To know the distance traveled by aircraft in 8 hours simply substitute the value of t as 8 in the given equation. Therefore, The distance traveled by the aircraft in 8 hours is,
D(t) = 500t
D(8) = 500(8)
= 4,000 miles
Hence, the distance traveled by aircraft in 8 hours is 4,000 miles.
Learn more about Expression here:
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) Which of these shows a repeating decimal? A 2.222 C 3 6 10B 4.0014(With line ontop the LAST 4)
Answer:
B. 4.0014 repeated
Step-by-step explanation:
because the line above the four means that it's repeated.
The mean of the values in a data set is p. If each of the values in the data set
were multiplied by 9.5, what would be the mean of the resulting data?
O A. 7.5p
O B. 11.5p
O C. р
O D. 9.5p
Answer:
9.5p
Step-by-step explanation:
What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)?
Answer:
The perimeter of the polygon is 22.
Step-by-step explanation:
Let [tex]A(x,y) =(-3,1)[/tex], [tex]B(x,y) = (5,1)[/tex], [tex]C(x,y) = (-3, 4)[/tex] and [tex]D(x,y) =(5,4)[/tex] the vertices of the polygon. From Geometry we know that number of side of polygons equals their number of vertices, then we notice that a quadrilateral is here. In addition, we conclude that such quadrilateral is a rectangle:
1) [tex]x_{A} = x_{C}[/tex]
2) [tex]x_{B} = x_{D}[/tex]
3) [tex]y_{A} = y_{B}[/tex]
4) [tex]y_{C} = y_{D}[/tex]
Hence, we find that [tex]AB = CD[/tex] and [tex]AC = BD[/tex].
Then we find all lengths of the rectangle by Pythagorean Theorem:
[tex]AB = \sqrt{[5-(-3)]^{2}+(1-1)^{2}}[/tex]
[tex]AB =8[/tex]
[tex]AC = \sqrt{[(-3)-(-3)]^{2}+(4-1)^{2}}[/tex]
[tex]AC = 3[/tex]
By Geometry, we conclude that [tex]CD = 8[/tex] and [tex]BD = 3[/tex].
Then, the perimeter of the rectangle ([tex]p[/tex]), dimensionless, is defined by the following formula:
[tex]p = 2\cdot (s+l)[/tex] (Eq. 1)
Where:
[tex]s[/tex] - Shortest length, dimensionless.
[tex]l[/tex] - Longest length, dimensionless.
If we know that [tex]s = 3[/tex] and [tex]l = 8[/tex], then the perimeter of the rectangle is:
[tex]p = 2\cdot (3+8)[/tex]
[tex]p = 22[/tex]
The perimeter of the polygon is 22.
AND PLZ ANSWER IT CORRECTLY
how are the original coordinates related to the coordinates after the translation
This coordinate plane represents the entire botanical garden where Vincent works. The rectangular figure on the coordinate plane is the original position of the rose garden. Vincent wants to slide the rose garden two yards east and four yards south. In this activity, you’ll help Vincent find the coordinates of the new rose garden.
Answer:
The x-coordinates of the translated figure are 2 more than the original x-coordinates. The y-coordinates of the translated figure are 4 less than the original y-coordinates.
Step-by-step explanation:
Answer:
Eastward translation of the rose garden will move it in the positive x-direction. So, the integer that represents a change of two yards east is +2.
Step-by-step explanation:
4×5+-8÷(7×9) what is the answer?
Answer:
19.87301587
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ok, so you would use PEMDAS, which is the correct order in which you would need to solve an equation. The idea is that the operations that come first would have to be solved first.
If you don't know it, PEMDAS is:
Parentheses
Exponents
Multiplication/division
Addition/subtraction
In this case, you would need to solve the parentheses. (7x9) is 63.
It would be rewritten as 4x5-8/63
There are no exponents, so you can skip the next operation.
Then you would do multiplication next, which would be 4x5 = 20
The equation would be rewritten as 20-8/63
-0.126984127 is -8/63
Lastly, 19.8730159 is the result of 20-0.126984127
Hope this helps!
what adds up to 180 and has a 54 diff
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[tex]x + y = 180[/tex]
[tex]x - y = 54[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Solution :
[tex]x = 117[/tex]
[tex]y = 63[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Im stuck IDK what the answer is can someone Help??!!
The graph below shows four straight lines, P, Q, R, and S:
graph of line P going through ordered pairs negative 2, negative 5 and 0, 3. Graph of line Q going through ordered pairs negative 1, negative 2 and 1, 6. Graph of line R going through ordered pairs negative 1, negative 4 and 1, 4. Graph of line S going through ordered pairs 0, negative 3 and 2, 5
Which line is represented by the function f(x) = 4x – 3? (1 point)
These are the answers to choose from..
Line P
Line Q
Line R
Line S
Answer:
Q
Step-by-step explanation:
I just know I guess
Answer:
I DONT KNOW WHAT IT IS BUT ITS NOT Q TRUST ME
Step-by-step explanation:
The table shows the distance traveled at various times during a trip.
Time vs. Distance Traveled During a Trip
Time (minutes), x
Distance traveled (miles), y
11
8
28
22
59
63
73
80
87
91
99
94
A regression calculator is used to produce a scatterplot and regression line for the data. Using the equation of the line, what is the approximate distance traveled after 44 minutes?
Answer:
we would need to see that plot done by the regression line, unless you're supposed to do that yourself? maybe w/ Excel?
Step-by-step explanation:
I need help on this one please
h(t) = (t + 3) ^2 + 5
Which of these functions are linear ?
Answer:
E
Step-by-step explanation:
A function that is linear is a straight line. A linear function can be found using [ y = mx + b ]
F shows an example of a quadratic function. A quadratic function can be found using [ f(x) = ax² + bx + c ]
Best of Luck!
[tex] \LARGE{ \underline{ \blue{ \bf{Required \: answer:}}}}[/tex]
The answer is E because the graph of linear equation is a straight line whereas the graph of a quadratic equation is a parabola opening upwards or downwards depends upon the coefficient of a in standard form : ax² + bx + c.
Linear equation have atmost 1 zero. This we can determine through the graph.Quadratic equation have atmost 2 zeroes and the no. of times it intersect with x-axis determines the no. of zeroes of the quad. equation.#CarryOnLearning
plz help 20 points plzz
Answer:30 tablespoons of vinegar
Step-by-step explanation: 3 times 10
What is 1 over 3 - negative 8 over 3?
Answer:
The answer is 3.
Step-by-step explanation:
Through: (-5,4), Parallel to y= -6/7x +3
Answer:
there.
Step-by-step explanation:
The given line, y = 4x - 1, has a slope of 4. Thus, the new line, being parallel to the given line, also has a slope of 4. The equation y - k = m(x - h)^2 becomes y - 7 = 4(x + 3)^2 when -3 is substituted for h, 7 for k and 4 for m.
A shopkeeper purchased an electric fan for rs 1560 and sold it at 5 % profit find his actual profit and selling price of the fan
Answer:
[tex]{ \boxed{ \sf{Actual \: profit \: = \: Rs \: 78}}}[/tex]
[tex] \boxed{ \sf{Selling \: price \: = \: Rs \: 1638}}[/tex]
Step-by-step explanation:
Given :Cost price of a electric fan ( CP ) = Rs 1560Profit percent = 5 %To find :Actual profit = ?Selling price = ?Solution :Finding the selling price of a fan ( SP ) :
[tex] \boxed { \sf{SP = \frac{CP(100 + profit \: \%)}{100} }}[/tex]
[tex] \sf{↦ \: SP \: = \frac{1560(100 + 5)}{100} }[/tex]
[tex] \sf{↦SP = \frac{1560 \times 105}{100}} [/tex]
[tex] \sf{↦ \: SP = \frac{163800}{100} }[/tex]
[tex] ↦ \boxed{ \sf{SP = Rs \: 1638}}[/tex]
Now, We have :
Selling price of a electric fan ( SP ) = Rs 1638Cost price of a electric fan ( CP ) = Rs 1560Finding the actual profit :
[tex] \boxed{ \sf{Actual \: profit \: = \: Selling \: price \: - \: Cost \: price}}[/tex]
[tex] \sf{↦ \: Actual \: profit \: = \: Rs \: 1638 - \: Rs\: 1560}[/tex]
[tex] \boxed{ \sf{↦ \: Actual \: profit \: = \: Rs \: 78}}[/tex]
We're done !
Hope I helped!
Best regards! :D
~TheAnimeGirl
Imaginary number test
i ⁴³⁵ = i ⁴³²⁺³ = i ⁴³² • i ³
i ⁴³⁵ = i ⁴³² • i ³
i ⁴³⁵ = (i ⁴)¹⁰⁸ • i ³
i ⁴³⁵ = 1¹⁰⁸ • (-i)
i ⁴³⁵ = -i
The value of the imaginary number i⁴³⁵ is : i ⁴³⁵ = -i.
Here, we have,
To evaluate the expression i⁴³⁵, we need to understand the properties of the imaginary unit, denoted by i.
The imaginary unit i is defined as the square root of -1, meaning i² = -1.
When raising i to an exponent, we can use the pattern of powers of i to simplify the expression.
The pattern of powers of i repeats every four exponents:
i¹ = i
i² = -1
i³ = -i
i⁴ = 1
Since i⁴ = 1, we can divide the exponent 435 by 4 to find the remainder:
435 divided by 4 gives a remainder of 3.
Therefore, i⁴³⁵ is equivalent to i³.
Using the pattern of powers of i, we know that i³= -i.
So, i⁴³⁵ = -i.
i.e. we get,
i ⁴³⁵ = i ⁴³²⁺³ = i ⁴³² • i ³
i ⁴³⁵ = i ⁴³² • i ³
i ⁴³⁵ = (i ⁴)¹⁰⁸ • i ³
i ⁴³⁵ = 1¹⁰⁸ • (-i)
i ⁴³⁵ = -i
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Do we have enough information to say that m//n? Why?
No, not enough information
Yes, Converse of Corresponding Angles Postulate
Yes, Converse of Alternate Interior Angles Postulate
Yes, Converse of Alternate Exterior Angles Postulate
Yes, Converse of Consecutive Interior Angles Postulate
Answer:
Option (1)
Step-by-step explanation:
From the picture attached,
Lines 'm' and 'n' are the parallel lines and 'r' is a transversal line intersecting these lines at two distinct points.
Therefore, both the angles will be congruent by the property of corresponding angles postulate.
By the converse of corresponding angles postulate,
If these angles are congruent then both the lines (m║n) will be parallel.
Option (1) will be the answer.
A rental car agency charges $170.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $295.00?
The number of miles you can travel in one week for $295.00 is (Type a whole number.)
PLEASE HELP I WILL MARK YOU BRAINLIEST
ingredient C: 1/4 cup for 2/3 serving or ingredient D: 1/3 cup for 3/4 serving
Which is lower?
Answer:
c. 1/4
Step-by-step explanation:
If f(x) = 2x + 1, and the domain of f is {5, 25, 50}, what is the range of f ?
A) {5, 25, 50}
B) {11, 51, 101}
C) {10, 50, 100}
D) {0, 5, 10}
Answer:
b
Step-by-step explanation:
plug your x values into the f(x) equation
Is 6 pi an irrational number?
Answer:
yes
Step-by-step explanation:
pi is an irrational number
