Answer:
The simplification of the given expression (r3s2t)4 is:
r¹²s⁸t⁴
Step-by-step explanation:
Given expression:
(r³s²t)⁴
power of '4' on the whole term will be applied to individual terms after we open the brackets. In this case the power on the whole term will be multiplied to the power of each individual term:
= (r³)⁴(s²)⁴(t1)⁴
= r³ˣ⁴ s²ˣ⁴ t¹ˣ⁴
= r¹²s⁸t⁴
what is the average rate of change for this quadratic function for the interval from x=6 to x=8?
What is the slope of the line?
A) –2
B) –[tex]\frac{1}{2}[/tex]
C) [tex]\frac{1}{2}[/tex]
D) 2
Your answer is B) -1/2
One way of finding this answer is by using the slope equation (y2 - y1)/(x2 - x1) and substituting in the coordinates on the line. This gets you
(2 - 3)/(4 - 2) = -1/2
Another way is to find the slope by looking at the graph, and seeing that it must be negative because it slopes downwards to the right instead of up, and that it must be 1/2 because for every 1 unit you go down, you go 2 across, which means your y/x is 1/2.
I hope this helps! Let me know if you have any questions :)
The slope of the line below is 2 use the coordinates of the labeled point to find a point slope equation of the line
Answer:
B.
Step-by-step explanation:
The answer is B. The problem says that the slope is 2 and it as the points (3,10) on its line. When looking at the graph, you can see that the line crosses at four on the y-intercept which is why four will be your constant. So, your equation in slope intercept form will become y=2x+4. With this, you can start eliminating the given answers.
You can immediately eliminate c and d because the 2 is negative when it isn't in its slope form. It leaves you with a and b.
When looking at both a and b you now have to look at what your y will become when you sinplify both of them. In choice a, the 2 multiplies with the 3 and gives you 6. Since you have to leave the y by itself you have to subtract 10 from both sides which will leave you with -4. Since your y-intercept isn't negative you know that a isnt the ansewr.
When checking b, you multiply the 2 and -3 to get -6. Since you have to leave the y by itself, you add 10 to each side and end up with 4 which is the same number that crosses the y-axis. and that is how you know it's the right answer.
Answer:
B. y-10=2(x-3)
Step-by-step explanation:
Apex
Hope this helps Have a nice day
The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x + 12 = 48, where x
represents the cost of a ticket. How much is one ticket?
$3.00
$4.00
$9.00
$15.00
Answer:
C) $9.00
Step-by-step explanation:
You're trying to find the value of x. 4x + 12 = 48 Subtract 12 from both sides to get:4x = 36 Then, divide each side by 4 to get:x = 9For this case we have that the cost of a ticket is given by the variable "x". We have the following equation:
[tex]4x + 12 = 48[/tex]
By clearing "x" we have:
We subtract 12 on both sides of the equation:
[tex]4x = 48-12\\4x = 36[/tex]
Dividing between 4 on both sides of the equation:
[tex]x = \frac {36} {4}\\x = 9[/tex]
Then, a ticket costs $ 9.00
Answer:
Option C
Find the value of x in the figure below
A) 94
B) 78
C) 110°
D) 210
There's the tangent secant angle theorem which says the measure of angle B is half the difference of the two intercepted arcs. That means
58 = (1/2) (210 - x)
116 = 210 - x
x = 94
Answer: A
That's not a very intuitive answer. Let's see if we can see why. Let's call the center of the circle O and the unlabeled intersection at the top D.
Angle DOC=210 degrees the long way, that's what an arc measure means
Angle DOC=360-210=150 degrees the short way
We have angle BCO=90 degrees because it's a tangent.
So angle BDO is the fourth angle in a quadrailateral BCDO
BDO = 360 - DBC - BCO - DOC = 360 - (58 + 150+90) = 62 degrees
ADO is isosceles, with two radii for sides. So DAO=62 degrees
That leaves DOA = 180 - 62 - 62 = 56 degrees
Angle AOC = x
x + arc AD = DOC
x + 56 = 150
x = 94
That checks.
Which of the equations below could be the equation of this parabola?
Answer:
B
Step-by-step explanation:
Parabola that is opening upward has the form [tex]y=ax^2[/tex]Parabola opening downward has the form [tex]y=-ax^2[/tex]Parabola opening leftward has the form [tex]x=-ay^2[/tex]Parabola opening rightward has the form [tex]x=ay^2[/tex]Where a is a constant
Now, looking at the graph given, it takes the form [tex]x=-ay^2[/tex]
Where a is 3 (matching the answer).
Hence, B is the correct answer choice.
Use the number line to help you answer the question.
Which statements are true? Check all that apply.
–4 < –8
|–4| < |–8|
|–5| > 1
–5 > |1|
|–2| = |2|
Answer:
|–4| < |–8|, |–5| > 1, |–2| = |2|
Step-by-step explanation:
Answer:
B, C, and E.
Step-by-step explanation:
–4 < –8
|–4| < |–8|
|–5| > 1
–5 > |1|
|–2| = |2|
Absolute Value Assignment
Understanding Absolute Value and Magnitude
21 POINTS!! What is the solution to the system of equations below?
y = -1/3x + 6 and x = –6
Answer:
y=8
Step-by-step explanation:
[tex]y = - \frac{1}{3} ( - 6) + 6 \\ y = 8[/tex]
What is the solution of -x+4>2
There is no single solution but there is a group of solutions also known as the interval.
[tex]
-x+4>2 \\
-x>-2 \\
x<2
[/tex]
This can be written with an interval.
[tex]x\in(-\infty, 2)[/tex]
Hope this helps.
r3t40
What is the solution of the equation 92x = 6? Round your answer to the nearest ten-thousandth.
Answer:
The solution of the equation 92x = 6 is x= 0.065
Step-by-step explanation:
We need to solve the equation 92x = 6 and find the value of x.
Given: 92x = 6
Divide both sides of the equation with 92
92x/92 = 6/92
x = 3/46
x = 0.065
So, the solution of the equation 92x = 6 is x= 0.065
Evaluate u + xy , for u = 2, x = 9, and y = 6.
Answer:
56
Step-by-step explanation:
After inserting the given values, u + xy becomes (2) + (9)(6), or 2 + 54, or 56.
Answer:
56
Step-by-step explanation:
2 + 9(6) = 56
Explain why the solution to 3r=2 must be less than 1
Answer:
see below
Step-by-step explanation:
3r=2
We know that r must be less than 1 because we are multiplying 3 by a number and getting 2
Taking a larger number and multiplying by r and getting a smaller number means the number must be less than 1
Divide each side by 3
3r/3 = 2/3
r = 2/3
2/3 is less than 1
Hello
Good Luck
Goodbye ♥
i dont know how to divide
Answer:
Divide whole numbers
Divide the first digit of the dividend by the divisor. ...
Write the quotient above the dividend.
Multiply the quotient by the divisor and write the product under the dividend.
Subtract that product from the dividend.
Bring down the next digit of the dividend.
Step-by-step explanation:
brainliest please
Lilian has 42 feet of yarn. She wants to cut the yarn into 8 equal parts. How long will each part be?
A- five and two eighths feet
B- five and four eighths feet
C- six and one eighth feet
D- six and five eighths feet
Answer:
A. Five and two eighths feet.
Step-by-step explanation:
42 (feet of yarn) ÷ 8 (equal parts) = 5.25 (feet of yarn that each part is)
5.25 =
[tex]5 \frac{1}{4} [/tex]
or
[tex]5 \frac{2}{8} [/tex]
because 1/4 = 2/8.
Hope this helps!
Solve the following subtraction problems.
a. 8 mi 133 yd 2 ft – 5 mi 107 yd 2 ft
Answer:
3 miles 26 yards
Step-by-step explanation:
We are to perform subtraction on the following:
8 mi 133 yd 2 ft – 5 mi 107 yd 2 ft
We have to divide the amount of miles from miles, yards from yards and feet from feet. So a good idea is to write it this way in order to avoid any confusion:
8 mi 133 yd 2 ft
- 5 mi 107 yd 2 ft
_______________
3 mi 26 yd 0 ft
_______________
So we are left with 3 miles 26 yards.
Which pair of angles are corresponding angles?
Two horizontal lines cut by a diagonal transversal. Angles 2, 3, 6, and 7 are located on the left-hand side of the transversal starting from the top. Angles 1, 4, 5 and 8 are located on the right-hand side of the transversal starting at the top.
2 and 6
1 and 7
1 and 2
2 and 7
Answer:
Is there supposed to be a picture here ?
Answer:
The correct answer is first option
2 and 6
Step-by-step explanation:
The figure attached with this answer shows that AB and CD are two parallel lines. LM
To find the correct option
From the figure we can see the angles made by a traversal on AB and CD.
The corresponding angles are equal., which are,
1 and 5,
2 and 6
3 and 3
4 and 8
From the given options the correct answer is first option
2 and 6
in a certain linear equation, the rate of change of y with respect to x is two. write the equation if the coordinate (0,1) is a solution.
Answer:
[tex]y=2x+1[/tex]
Step-by-step explanation:
Let the linear equation be [tex]y=mx +b[/tex].
The slope of a linear equation is the same as the rate of change of that linear linear equation.
The rate of change of y with respect to x is given in the question as 2.
[tex]\implies m=2[/tex]
We substitute this slope to obtain the partial equation;
[tex]y=2x+b[/tex]
If the coordinate (0,1) is a solution, then it must satisfy this equation.
[tex]\implies 1=2(0)+b[/tex]
[tex]\implies 1=b[/tex]
The required equation is:
[tex]y=2x+1[/tex]
the equation of the line is y = 2x + 1.
The student asked for the equation of a linear function where the rate of change of y with respect to x is two, and the coordinate (0,1) is a solution. This means the slope (m) of the line is 2, and it passes through the point (0,1). The general form of a linear equation is y = mx + b, where m is the slope, and b is the y-intercept.
Since we know the slope is 2 and it passes through (0,1), we can substitute these values into the equation to find b:
1 = 2(0) + b.
So, b = 1. Therefore, the equation of the line is y = 2x + 1.
3[–x + (2 x + 1)] = x – 1 solve for x
Hey there! :)
3[-x + (2x + 1)] = x - 1
Simplify the parenthesis!
3[-x + 2x + 1] =x - 1
Add like terms.
3[x + 1] = x - 1
Simplify!
3x + 3 = x - 1
Subtract 1x from both sides.
3x + 3 - 1x = x - 1 - 1x
Simplify.
2x + 3 = -1
Subtract 3 from both sides.
2x = -4
Divide both sides by 2.
2x ÷ 2 = -4 ÷ 2
Simplify.
x = -2
~Hope I helped! :)
A number w increased by 7 is less than 25. Translate the sentence into an inequality
Answer:
w+7<26
Step-by-step explanation:
number w increased by 7 means w+7
ls less than 25 means <25
So we have w+7<26
can you helped me with this?
Which 3 values are solutions to the system of linear inequalities?
(0,0)
(1,1)
(-1,0)
(6,0)
(0,2)
Answer:
(0, 0), (-1, 0), (0, 2)Step-by-step explanation:
Look at the picture.
Mark points in the coordinate system.
Find points that lie in the shaded region or on the given lines.
Triangle XYZ is shown, where n 25.
Which statements are true regarding the sides and angles
of the triangle? Check all that apply.
n +4
OXY is the longest side.
Angle X is the largest angle.
Angle Z is greater than angle Y.
XZ is opposite the largest angle.
XZ is the shortest side.
Save and Exit
Answer: 2nd, 3rd, and 5th are true
Step-by-step explanation:
The first statement cannot be true, if n ≥ 5, which is given, then ZY must be greater than XY
The second statement must be true, as long as n ≥ 5, ZY will always be greater than XZ and XY, and therefore, the angle opposite to ZY will always be the greatest angle, so X is the largest angle
The third statement must be true for the same reasoning as the second statement. The side opposite to angle Z will always be greater than the side opposite of angle Y, meaning that angle Z will always be greater than angle Y (assuming n ≥ 5).
The fourth statement is false, we already proved that X is the largest angle and XZ is not opposite of angle X.
The fifth statement is true, XZ will always have the lowest value as long as n ≥ 5.
All the correct statements regarding the sides and angles of the triangle are,
⇒ Angle X is the largest angle.
⇒ Angle Z is greater than angle Y.
⇒ XZ is the shortest side.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle XYZ is shown,
where n ≥ 5
Now, We get;
For n = 5;
XY = n + 4 = 5 + 4 = 9
YZ = 2n = 2 x 5 = 10
ZX = n - 2 = 5 - 2 = 3
Hence, We get;
⇒ ZX < XY < YZ
And, ∠X > ∠Z > ∠Y
Thus, All the correct statements regarding the sides and angles of the triangle are,
⇒ Angle X is the largest angle.
⇒ Angle Z is greater than angle Y.
⇒ XZ is the shortest side.
Learn more about the triangle visit;
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The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers
The larger number is 71 and the smaller number is 19.
Two equations can be derived from the question:
x + y = 90 equation 1
x = 14 + 3y equation 2
The larger number would be represented with x and the smaller number would be represented with y.
Substitute for x in equation 1
14 + 3y + y = 90
Add similar terms
14 + 4y = 90
Make y the subject of the formula
4y = 90 - 14
4y = 76
y = 76 / 4 = 19
Substitute for y in equation 1
x + 19 = 90
x = 90 - 19
x = 71
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The sum of numbers is the addition of the numbers.
The numbers are 19 and 71
Let the two numbers be x and y, where y is greater than x.
So, we have:
[tex]\mathbf{y = 3x + 14}[/tex]
The sum of the numbers is:
[tex]\mathbf{x +y = 90}[/tex]
Substitute [tex]\mathbf{y = 3x + 14}[/tex]
[tex]\mathbf{x +3x + 14 = 90}[/tex]
[tex]\mathbf{4x + 14 = 90}[/tex]
Subtract 14 from both sides
[tex]\mathbf{4x = 76}[/tex]
Divide both sides by 4
[tex]\mathbf{x = 19}[/tex]
Substitute [tex]\mathbf{x = 19}[/tex] in [tex]\mathbf{y = 3x + 14}[/tex]
[tex]\mathbf{y = 3(19) + 14}[/tex]
[tex]\mathbf{y = 71}[/tex]
Hence, the numbers are 19 and 71
Read more about sum of numbers at:
https://brainly.com/question/11670459
Find g(1) if g(x) = x 2 + 1.
Answer:
[tex]\large\boxed{g(1)=2}[/tex]
Step-by-step explanation:
[tex]g(x)=x^2+1\\\\g(1)-\text{put x = 1 to the equation of the function}\\\\g(1)=1^1+1=1+1=2[/tex]
If p(x)=2x^2-4x and q(x) = x-3, what is (p o q)(x)
Answer:
2x² - 16x + 30
Step-by-step explanation:
To evaluate (p ￮ q)(x)
Substitute x = q(x) into p(x)
2(x - 3)² - 4(x - 3)
= 2(x² - 6x + 9) - 4x + 12
= 2x² - 12x + 18 - 4x + 12
= 2x² - 16x + 30
The given graph represents the function f(x) = 2(5)x. How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0?
The graph will increase at a slower rate.
The graph will show a decreasing, rather than increasing, function.
The graph will show an initial value that is lower on the y-axis.
The graph will increase at a constant additive rate, rather than a multiplicative rate
Answer: its c.
Step-by-step explanation:
The graph will show an initial value that is lower on the y-axis.
aka c.
Answer:C
Step-by-step explanation:
Which graph represents an even function?
Answer:
Step-by-step explanation:
The first graph (the parabola opening down) represents an even function, since this graph is symmetric with respect to the y-axis.
Step-by-step explanation:
For an even function we have f(x) = f(-x)
In the given graphs let us substitute values
In first graph
f(2) = 0
f(-2) = 0
So f(2) = f (-2)
Graph is even
In second graph
f(2) = 0
f(-2) = 4
So f(2) ≠ f (-2)
Graph is not even
First graph represents an even function
Someone pleaseeee help!!!!
Which statements are true? Check all that apply.
Answer: A) arc CB = 120°
C) <COB = 2(m<CAB)
D) <COB = 120°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of its intercepted arc
⇆ The measure of an arc is twice the measure of its inscribed angle.
Thus, since <CAB = 60°, then arc CB = 120° OPTION A
The measure of a central angle is congruent to its arc
⇆ The measure of an arc is congruent to the central angle.
Thus, since arc CB = 120°, then <COB = 120° OPTION D
Since <COB = 120°, and <CAB = 60°,
then <COB = 2(m<CAB) OPTION C
Answer: A. C. D.
Step-by-step explanation:
Got it right on edg
Jane is cooking beans and rice for dinner
tonight. She has 4 cans of black beans,
6 cans of red beans, and 3 cans of
garbanzo beans in her cupboard. If she
grabs a can of beans without looking at the
label, what is the probability of her making
black beans and rice for dinner?
Answer:
4/13
Step-by-step explanation:
6+3+4 =13
4/13
Answer:
4/13
Step-by-step explanation:
P( blackbeans) = number of cans of black beans
----------------------------------------------
total cans
= 4
-------
( 4+6+3)
= 4
-----
13
in an Arthemitic progression, if the common difference (d= -4) and the seventh term is 4 then find the first 3 terms
Answer:
28, 24, 20
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
here d = - 4 and a₇ = 4, hence
a₁ + (6 × - 4) = 4
a₁ - 24 = 4 ( add 24 to both sides ), hence
a₁ = 28
a₂ = 28 - 4 = 24
a₃ = 24 - 4 = 20
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
이 me
O 81 cm
O 64 cm
O 167 cm
Answer:
V = 33.5 cm^3
Step-by-step explanation:
The volume of a sphere is given by
V=4/3 pi r^3
The diameter is 4
r= d/2
r =4/2 =2
V = 4/3 pi (2)^3
V = 4/3 pi 8
V = 32/3 pi
Assuming pi is approximated by 3.14
V = 32/3 (3.14)
= 33.493333333 cm^3
To the nearest tenth
V = 33.5 cm^3