Answer:
1/27
Step-by-step explanation:
Its 1/27 because you have to multiply (3)-3,
3 times 3 times 3
that will give you positive 27 so if your on usatestprep its positive 1/27
The number (3)⁻³ equals 1/27, which is the result of taking the reciprocal of 3 raised to the third power.
The question asks which number equals (3)⁻³. The notation (3)-3 indicates that we are dealing with an exponentiation operation, specifically raising the number 3 to the power of -3. To solve this, we'll use the rule that any number raised to a negative exponent is equal to 1 divided by that number raised to the positive exponent. Therefore, (3)⁻³ is equal to 1/(3³).
Now we'll calculate the exponent 3³, which is 3 multiplied by itself three times: 3 x 3 x 3 = 27. So, 1/(3³) is 1/27.
The final answer is therefore (3)⁻³ = 1/27.
Lee converted 500 U.S. dollars to 625 Singapore dollars. If x represents U.S. dollars and s represents Singapore dollars, which of these equations represents the relationship between the two currencies?
Given
Lee converted 500 U.S. dollars to 625 Singapore dollars.
x represents U.S. dollars and s represents Singapore dollars.
Find out equations represents the relationship between the two currencies.
To proof
As given in the question
x represents U.S. dollars and s represents Singapore dollars.
converted 500 U.S. dollars to 625 Singapore dollars
500 x = 625 s
[tex]x = \frac{625}{500} s[/tex]
x = 1.25 s
This shows that the U.S dollars is equal to 1.25 times of singapore dollars.
Hence proved
y=f(x)=-3x find f(x) when x is 3
f(3) = -9 for the function [tex]\( y = f(x) = -3x \) when \( x \) is 3.[/tex]
To find f(x) when ( x ) is 3 for the given function [tex]\( y = f(x) = -3x \),[/tex] you substitute 3 for ( x ) in the function: [tex]\[ f(3) = -3 \times 3 \][/tex]
Now, calculate the value: [tex]\[ f(3) = -9 \][/tex]
Therefore, when ( x ) is 3, f(x) is -9 for the function [tex]\( y = f(x) = -3x \).[/tex]
In more detail, this means that if you plug ( x = 3 ) into the function, it will result in ( y = -9 ). The function ( y = -3x ) represents a linear relationship where the coefficient of ( x ) is -3. This indicates that for each unit increase in ( x ), ( y ) decreases by 3 units. In the specific case of ( x = 3 ), substituting this value into the function gives [tex]\( y = -3 \times 3 = -9 \).[/tex]
This kind of analysis is fundamental in understanding the behavior of linear functions. It provides insight into how the function's output (y) changes in response to changes in the input ( x ). In this case, when ( x ) increases by 1, ( y ) decreases by 3, leading to the slope of -3 in the function ( y = -3x ).
I need help with this question.
The associative property changes the ____ of three addends or factors.
The associative property allows you to change the grouping of addends or factors without changing the value of the expression.
The associative property allows you to change the grouping of addends or factors without changing the value of the expression.The associative property allows you to change the grouping of addends or factors without changing the value of the expression.The associative property allows you to change the grouping of addends or factors without changing the value of the expression.The associative property allows you to change the grouping of addends or factors without changing the value of the expression.The associative property allows you to change the grouping of addends or factors without changing the value of the expression.The associative property allows you to change the grouping of addends or factors without changing the value of the expression.The associative property allows you to change the grouping of addends or factors without changing the value of the expression.The associative property allows you to change the grouping of addends or factors without changing the value of the expression.
Which of the following are the coordinates of the vertex of y = x2 − 10x + 2?
y=x^2 - 10x +2
Use the form ax^2 + bx + c to find the values of a, b,and c.
a = 1 ( no number in front of the x^2)
b = 10
c = 2
Vertex form is a(x+d)^2 + e
Solve for d using d= b/2a
d = 10 / 2
d = 5
Find e using e = c - b^2/4a
e = 2 - 10^2/4
e = 2 - 25
e = -23
Vertex = d,e
Vertex = (5, -23)
Help please 16, 17, 18
16. Vertical angles are the ones bounded by the same lines and have the same vertex, but that have no sides in common. Pairs 1 and 3 or 2 and 4 are vertical angles.
17. The diagram shows the sum of the three angles makes a right angle (90°). Write that as an equation:
... x° + 2x° + 15° = 90°
Solve the equation in the usual manner: collect terms, add the opposite of the unwanted constant on the left, divide by the coefficient of x.
... 3x° +15° = 90°
... 3x° = 75°
... x = 25
18. You may notice that this problem follows the same pattern as the one of 17. We add the constituent angles to make the whole right angle. Here, you have some follow-on effort to find ∠BDC after you find x.
... (-3x+20)° + (-2x+55)° = 90°
... -5x +75 = 90 . . . . . . . collect terms, divide by °
... -5x = 15 . . . . . . . . . . . subtract 75
... x = -3 . . . . . . . . . . . . . divide by the coefficient of x
Now we can find ∠BDC.
... ∠BDC = (-3x+20)° = (-3(-3)+20)°
... ∠BDC = 29°
use the figure to find the measures of a and b thank you
Angles on the same side are the same, so angle 1 is 110°.
Angle 1 and 2 are supplementary, so they add up to 180. Since we know angle 1 is 110, angle 2 must be 70°
How can the Angle-Angle Similarity Postulate be used to prove the two triangles below are similar? Explain your answer using complete sentences, and provide evidence to support your claims
To use the AA postulate directly, you need to show that two corresponding angles are congruent. In order to show that here, you must calculate the value of one of the missing angle measures. Either of the missing angles can be found by invoking the fact that the sum of angles in a triangle is 180°.
After finding either missing angle, you can show that the measures of two angles in one triangle are identical to the measures of two angles in the other triangle, hence the triangles are similar by the AA postulate.
Answer:
I wrote the answer below :) hope it makes sense
Step-by-step explanation:
The Angle-Angle Similarity postulate can be used to prove that these two triangles are similar. To demonstrate I will use an example, and try to make sense to the reader. on triangle ABC, the 2 angles that are given to us are 32 degrees and 49 degrees. Since all triangles have an angle sum of 180 degrees, the missing degree would have to be 99 degrees. Same for the triangle A'B'C'. The 2 angles given are 99 degrees and 49 degrees, which means the missing angle has to be 32 degrees. Therefore, the triangles are similar.
I just took the test and this is correct.
Happy Holidays!
How is 2/3 related to 1/2
1/2 = 3/6
2/3 = 4/6
2/3 is greater than 1/2, so is to the right of 1/2 on the number line.
The difference is (4/6) -(3/6) = (4-3)/6 = 1/6.
2/3 is 4/3 times 1/2.
9 + 5 = x - 11
how to find the x number
9 + 5 = x - 11
combine like terms
14 = x - 11
add 11 to both sides
25 = x
or
x = 25
answer
x = 25
9+5=x-11
14=x-11
+11 +11
24=x
If f(x) = 4x + 1 and g(x) = x^2 - 5, find (f - g)(x)
Answer:
The Answer is B
Step-by-step explanation:
Subtract f-g
4x + 1 - x^2 - 5
Distribute the - sign
4x + 1 - x^2 + 5
Combine like terms
-x^2 + 4x + 1 + 5
-x^2 + 4x + 6
A line with a slope of -2 passes through the point (4, 7). Write an equation for this line in point-slope form.
[tex]\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{7})~\hspace{10em} slope = m\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=-2(x-4)[/tex]
Answer:
The equation in point-slope is [tex]y-7=-2(x-4)[/tex].
Step-by-step explanation:
Point-slope is a specific form of linear equations in two variables:
[tex]y-b=m(x-a)[/tex]
When an equation is written in this form, m gives the slope of the line and (a, b) is a point the line passes through.
We want to find the equation of the line that passes through (4, 7) and whose slope is -2. Well, we simply plug m = -2, a = 4, and b = 7 into point-slope form.
[tex]y-7=-2(x-4)[/tex]
A county park is 26 1/4 acres. A park committee assigns 1 3/4 acres to each farmer that brings livestock for the agricultural fair at the park. How many farmers can the park accommodate at the fair?
Please help! 15 Points! How do i do this? (View the picture down below)
Make 6 moves of [tex]\frac{2}{5}[/tex] to find the product.
Plot the product of the expression 6 ⋅ ( [tex]\frac{2}{5}[/tex] ) on the number line.
Ok, so what this question is really asking you is: [tex]2/5=0.4[/tex]
What is [tex]6*0.4[/tex] and that equals [tex]6*0.4=2.4[/tex]
Now because the the number is 2.4 plot that point
Look at the box-and-whisker plot. What is the measure of the first quartile (Q1)?
A. 43.5
B. 47.5
C. 41.5
D. 50.0
The first quartile (Q1) in a box-and-whisker plot is the value at the left boundary of the box, which represents the median of the lower half of the dataset. According to the information provided, Q1 is 80, but none of the given answer options (A, B, C, D) match this value.
In the context of your question, which examines a box-and-whisker plot, the first quartile (Q1) corresponds to the value at the left boundary of the box. The first quartile represents the median of the lower half of the dataset, excluding the overall median. From the information provided, we can deduce that the first quartile (Q1) is 80, as represented by the left boundary of the box in a box plot provided elsewhere.
Therefore, the correct answer to your question would be the option that most closely matches the value of 80. However, since none of the options (A. 43.5, B. 47.5, C. 41.5, D. 50.0) match this value, there appears to be a discrepancy. It's possible that there is an error in the question options, or there might be a misinterpretation regarding the information provided. Make sure that you are referring to the correct box plot.
Use the three steps to solve the problem.
One number is 11 more than twice another number. If the sum of the numbers is twice their difference, find the numbers.
Let x be the bigger number and y be the smaller number.
One number is 11 more than twice another number. Thus,
x = 2y + 11
The sum of the numbers is twice their difference, thus,
x + y = 2(x-y), which simplifies to:
x + y = 2x - 2y
3y = x (Now plug this back to the first equation:
3y = 2y + 11, and solve:
y = 11
Plug in y = 11 to the first equation:
x = 2(11) + 11 = 22 + 11 = 33
Thus the numbers are: x = 33, y = 11.
Which lists the steps in the correct order to find the median of this data set?
24, 16, 23, 30, 18, 29
1. Put the numbers in order.
2. Cross off high/low pairs.
3. Add the leftover numbers.
4. Divide the sum by 2.
1. Put the numbers in order.
2. Cross of high/low pairs.
1. Cross off high/low pairs.
2. Add the leftover numbers.
3. Divide the sum by 2.
1. Cross of high/low pairs.
Answer:
1. Put the numbers in order.
2. Cross off high/low pairs.
3. Add the leftover numbers.
4. Divide the sum by 2.
Step-by-step explanation:
We know that the median represent the middle value in a data which gives the center of the measure.
Whenever we calculate the median of a data the first step we need to follow is to arrange the a data in either ascending or descending order.
After that choose that center-most data value (in odd number of data value) or calculate the mean of the center-most 2 numbers ( if even) which will be the median of the data.
Given data: 24, 16, 23, 30, 18, 29
Number of numbers = 6 (even)
1. Put the numbers in order.
16,18,23,24,29,30
2. Cross off high/low pairs., we left with the numbers :-
23,24
3. Add the leftover numbers.
23+24=47
4. Divide the sum by 2.
[tex]\dfrac{47}{2}=23.5[/tex]
Answer:
A.
Step-by-step explanation:
evaluate the expression (19+9)+(-9)
19
evaluate the parenthesis, noting that + ( - ) = -
(19 + 9 ) + ( - 9) = 28 - 9 = 19
[tex]Solution, \left(19+9\right)+\left(-9\right)=19[/tex]
[tex]Steps:[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]\mathrm{Calculate\:within\:parentheses}\:\left(19+9\right)\::\quad 28, =28+\left(-9\right)[/tex]
[tex]\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:28+\left(-9\right)\::\quad 19, =19[/tex]
The correct answer is 19
Hope this helps!!!
Given: △KPS m∠P=105°, m∠S=30° PS=12 Find: PK.
Answer:
PK=8.49m
Explanation:
We have sine formula
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
By sine formula we have
[tex]\frac{PS}{sinK} =\frac{PK}{sinS} =\frac{KS}{sinP}[/tex]
We have PS = 12, ∠P=105° and ∠S=30°, so ∠K=180°-(105°+30°)=45°
Substituting
[tex]\frac{12}{sin45} =\frac{PK}{sin30} \\ \\ PK=8.49m[/tex]
A submarine was 200 feet below sea level. It then descended 130 mcre feet. What is the new depth?
If something goes below sea level, that means the answer is gunna be a negative number. so we have -200 and -130. we have to add the numbers together.
-200 + -130 = -330.
The new depth is -330. Hope this helps. Let me know if you need anymore help!
under the translation t(-7,3) the point (1,6) will become (-6,-3) true or false?
false
under the given translation
the point (1, 6 ) → (1 - 7, 6 + 3 ) → (- 6, 9 )
Is a 2x2 and 2x3 matrix multiplied undefined
Matrix multiplication is defined for M×K and K×N matrices to give an M×N result. Note that the middle two numbers (K) are the same.
Matrix multiplication of a 2×2 and 2×3 matrix will give a 2×3 matrix result. It is defined.
What is the answer to −f+2+4f=8−3f?
Answer: The value of f is 1.
Step-by-step explanation:
Since we have given that
[tex]-f+2+4f=8-3f[/tex]
We need to find the value of f :
1) First we gather the like terms together:
2) Solving the like terms
3)find the value of f.
[tex]-f+2+4f=8-3f\\\\3f+2=8-3f\\\\3f+3f=8-2\\\\6f=6\\\\f=\dfrac{6}{6}\\\\f=1[/tex]
Hence, the value of f is 1.
The solution to the equation -f + 2 + 4f = 8 - 3f is f = 1.
To solve the equation -f + 2 + 4f = 8 - 3f, we can simplify and solve for f:
Combine like terms on the left side:
-f + 4f + 2 = 8 - 3f
Simplify: 3f + 2 = 8 - 3f
Add 3f to both sides:
3f + 3f + 2 = 8 - 3f + 3f
Simplify: 6f + 2 = 8
Subtract 2 from both sides:
6f + 2 - 2 = 8 - 2
Simplify: 6f = 6
Divide both sides by 6:
6f/6 = 6/6
Simplify: f = 1
Therefore, the solution to the equation -f + 2 + 4f = 8 - 3f is f = 1.
Learn more about Equation here:
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Is this correct? Please answer fast
Without graphing is each system independent dependent or inconsistent
Jordan and Sharla are saving money to go on a study abroad trip. They must provide a down payment of $650 to sign up for the trip, and they can pay the remaining balance later. Jordan raises money by mowing lawns in his neighborhood and charges $25 per lawn. Sharla raises money by selling handmade necklaces for $15 each. Sharla raises less money than Jordan does because Sharla 3. only has enough materials to make 40 necklaces. (A) write two constraints to model the problem. Let x respresent the number of lawns Jordan mows and y represent the number of necklaces Sharla sells. (B) can sharla afford the down payment with the money she earns selling her necklaces? Explain your answer Please HELP ASAPm
Amount needed for down payment = $650
Amount charged by Jordan for mowing 1 lawn = $25
Amount charged by Sharla for 1 necklace = $ 15
Let the number of lawns mowed by Jordan = x
Let the number of necklace made by Sharla = y
Part A:
[tex]25x+15y=650[/tex]
As it is given, Sharla can make 40 necklace so,
[tex]25x+15(40)=650[/tex]
Or it could be 25x=650 and 15y=650
Part B:
No, Sharla cannot afford the down payment because she makes $15 for every necklace and she only has 40 necklaces which is [tex]15*40=600[/tex]
PLEASE HELPPPP!!!!!!
I will give Brainlyist
if measure 1 = x+70 and measure 2 = 5x -54 what is measure 3.Write an equation and solve
PLEASEE HELPP!!!!
What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x4+5 ?
Enter your answer in the box.
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{15}{2}[/tex]
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 4x + 5 is in this form with slope m - 4
Given the slope of a line m, then the slope ([tex]m_{2}[/tex]) of a line perpendicular to it is
[tex]m_{2}[/tex] = - (1 / m ) = - [tex]\frac{1}{4}[/tex]
y = - [tex]\frac{1}{4}[/tex] x + c is the partial equation of the perpendicular line
to find c, substitute ( 2, 7 ) into the partial equation
7 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = [tex]\frac{15}{2}[/tex]
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{15}{2}[/tex] ← equation of perp. line
Rewrite using a single exponent. 7^4 - 7^4
A number added to its opposite is zero (0). No exponent is needed.
7^4 - 7^4 = 0