Answer:
False
Step-by-step explanation:
(x^3)(x^4) = (xxx)(xxxx) = x^7 when multiplying you add the exponents
(x^5)÷(x^2) = (xxxxx)÷(xx) = xxx or x^3 because two of the x's reduce therefore when dividing you subtract the exponents
(x^2)^3 = (x^2)(x^2)(x^2) = (xx)(xx)(xx) = x^6 when raising a power to a power you multiply the exponents
y = 2x + 4
y = -x + 1
What is the solution to the system of equations?
A. (-1, 2)
B. (-1, 1)
C. (-2, 0)
D. (0, 1)
Which expression is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot?
x Superscript five-thirds Baseline y
s Superscript five-thirds Baseline y Superscript one-third
x Superscript three-fifths Baseline y
x Superscript three-fifths Baseline y cubed
Answer:
The correct option is B:
B) x superscript five-thirds Baseline y superscript one-third
Step-by-step explanation:
The expression can be written as:
[tex]\sqrt[3]{x^5y}[/tex]
We know that cube root can also be written as the power of 1/3, So
[tex]\sqrt[3]{x^5y} = (x^5y)^{1/3}[/tex]
Multiplying the power with both variables
[tex](x^5y)^{1/3} = x^{5\cdot1/3}\cdot y^{1\cdot1/3}[/tex]
Simplifying the equation to get final form
[tex]x^{5\cdot1/3}\cdot y^{1\cdot1/3} = x^{5/3}\cdot y^{1/3}[/tex]
As we can see that it is similar to the option B which is
B) x superscript five-thirds Baseline y superscript one- third
the correct option is B
The expression which is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot is;
x Superscript five-thirds Baseline y Superscript one-thirdThe expression can be written as;
[tex] \sqrt[3]\frac{{ {x}^{5} } }{y} [/tex]
In essence, Upon simplification; we have;
x⁵ ^(1/3) × y^(-1/3)Therefore, we have;
x^(5/3) × y (-1/3)The expression therefore becomes;
[tex] \frac{ {x}^{ \frac{5}{3} } }{ {y}^{ \frac{1}{3} } } [/tex]
Read more on indices;
https://brainly.com/question/1592472
There are 8 students in our Math class left to give their presentations. Today
we will have time for 5 presentations. How many different ways can the
teacher choose the presenters?
OA) 56
OB) 112
OC) 168
OD) 336
Answer:
Option A. 56
Step-by-step explanation:
The question talks about chosing 5 presenters out of 8 presenter.
This can be achieved b using the following formula:
nCr = n! /r! (n–r)!
n = 8
r = 5
8C5 = 8! / 5! (8 – 5)!
8C5 = 8! / 5! 3!
8C5 = (8 x 7 x 6) / (3 x 2 x 1)
8C5 = 56
Therefore, there are 56 ways in which the teacher can chose the presenters.
Answer: Choice A
Step-by-step explanation:
Alice was flying a kite when a gust of wind caught the kite in a tree. Alice is standing 10 feet from the base of the
tree, looking up at her kite at an angle of 25°. If Alice is 5 feet tall, approximately how high is the kite off of the
ground?
A4.66
B 9.66
C 21.45
D 9.23
Answer:
B. 9.66
Step-by-step explanation:
To find how high the kite is off the ground, we will follow the steps below;
we will use trigonometric ratio to solve the problem. That is;
SOH CAH TOA
sinФ = opposite / hypotenuse
cosФ = opposite / hypotenuse
tanФ = opposite / adjacent
from the diagram below
Ф = 25°
opposite = x
adjacent = 10 feet
The best trig ratio to use is tan
we can now proceed to insert the values into the formula
tanФ = opposite / adjacent
tan 25° = [tex]\frac{x}{10}[/tex]
cross-multiply
x = 10 tan25°
x ≈4.66 feet
height of the kite off of the ground = x + height of Alice
=4.66 + 5
=9.66 feet
Therefore, the kite is 9.66 feet high off of the ground
Graph the line that has a slope of 1/6 and includes the point (0, 7).
What is a slope?
The slope or gradient of a line is a number that describes both the direction and the steepness of the line. It is denoted my letter 'm'
y = m x + c
m is the slope
Given data ,
Let the point be P ( x , y ) = P ( 0 , 7 )
Slope m of line = 1 / 6
The equation of line where the point P ( 0 , 7 ) and slope 1/6 is calculated by
y = m x + c
Substitute the values of x and y in the equation , we get
7 = ( 1/6 ) × 0 + c
So , c = 7
Therefore , the equation becomes y = ( 1 / 6 ) x + 7
Hence , the graph of the equation can be described
Not so bad after an F- I guess.
Answer:
Congratulations!
Step-by-step explanation:
Which of the following best describes the figure?
Answer:
a concave polygon
Step-by-step explanation:
It's a concave polygon because it has one angle that is more than 180 degrees.(I think at least)
Please answer this very simple attachment that will be below use the image below to help your answer!!!
A small business employs 98 people. All
What is the directrix of a parabola with equation x^2 = 4y
Answer:
y = -1
Step-by-step explanation:
What value is a discontinuity of x squared plus 2 x plus 3, all over x squared minus x minus 12?
x = −1
x = −2
x = −3
x = −4
Answer:
x=-2
hope this helped
The multiplication property of equality could be used to solve which of the following equations?
4x = 5
X + 5 = -4
8/X= 1
(x + 5)(4x - 1) = 0
Answer:
8/X= 1
Step-by-step explanation:
"8/X= 1" requires the multiplication property of equality for 'x' to get solved.
[tex]\frac{8}{x}=1\\\\\frac{8}{x}*x=1*x \leftarrow\text{Multiplication Property of Equality}\\8 = x \\\\\boxed{x=8}[/tex]
Answer:
Step-by-step explanation:
I would probably say C which is 8/X= 1.
The first one uses the division property of equality.
The second uses the subtraction property of equality.
The third uses multiplication property of equality, which basically means mulitplying both sides of an equation by the same quantity.
The last one does not follow any property that I am aware of or am acquainted with.
Pls do 4,5 for 7 points.
Answers:
6-5please see the attached picture for full solution
hope it helps
Good luck on your assignment...
Triangle ABC has vertices A(4,5), B(8,9), and C(6,7). What are the vertices of triangle A′B′C′ if triangle ABC is translated according to the algebraic description (x, y) → (x + 3, y – 2)?
Answer:
A'(7,3), B'(11,7) and C'(9,5).
Step-by-step explanation:
The vertices of given triangle are A(4,5), B(8,9), and C(6,7).
Given rule of translation is
[tex](x,y)\rightarrow (x+3,y-2)[/tex]
We need to find the vertices of triangle A'B'C'.
Now,
[tex]A(4,5)\rightarrow A'(4+3,5-2)=A'(7,3)[/tex]
[tex]B(8,9)\rightarrow B'(8+3,9-2)=B'(11,7)[/tex]
[tex]C(6,7)\rightarrow C'(6+3,7-2)=C'(9,5)[/tex]
Therefore, the vertices of triangle A'B'C' are A'(7,3), B'(11,7) and C'(9,5).
Factor this polynomial completely.
12x2+x-6
Step-by-step explanation:
12 x 2 = 24 + x = 24x - 6 = 18x
Hope This Is Correct For You
Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC? Question 4 options: A) To the left five units, up three units. B) To the right five units, up three units. C) To the left five units, down three units. D) To the right five units, down three units.
Answer:
C
Step-by-step explanation:
Which is a possible turning point for the continuous
function f(x)?
HELP ASAP
Answer: B. (-2, -1)
Step-by-step explanation:
(-2, -1) has a y-coordinate (-1) closer to 0 than the rest of the y-coordinates. And 0 would be turning point in this equation.
Answer:
b
Step-by-step explanation:
Suppose the sample space for a continuous random variable is 0 to 50. If the
area under the density curve for the variable from 0 to 38 is 0.76, what is the
area under the density curve from 38 to 50?
A. 0.34
B. 0.924
C. 0.76
D. 0.24
Answer:
0.24
Step-by-step explanation:
find the nearest two positive coterminal angles and the nearest two negative coterminal angles for 420°
Answer:
Positive Coterminal Angles = 60°,780°
Negative Coterminal Angles = -300°, -660°
Step-by-step explanation:
Positive Coterminal Angles:
To find nearest two coterminal angle of 420°:
1) Subtract 360° from 420°:
420°- 360° = 60° (First Positive Coterminal Angle)
2)Add 360° to 420°:
420°+ 360° =780° (Second Positive Coterminal Angle)
Negative Coterminal angles:
To find nearest two negative coterminal angles of 420°. We' lave to take the value below 0.
1) Substract 360° from 420°
420°- 360° = 60°
Which is still a positive value.
2) Again Substract 360° from 60°
60°- 360° = -300° (First Negative Coterminal Angle)
3)Subtract 360° from -300°
-300°- 360° = -660° (Second Negative Coterminal Angle)
Identify the type of pair of angles labeled as 1 and 2 in the figure.
Question 4 options:
A)
Adjacent angles
B)
Linear pair
C)
Complementary angles
D)
Vertical angles
Hey!!
1 and 2 are vertical angles.
Vertically opposite angles are always equal to each other.
Hope it helps..
Answer:
D
Step-by-step explanation:
which of the following is the additive identity of 5+2i
Answer:
Can you take a picture of the question so i could help!
Step-by-step explanation:
this is numbers 1,2 and 3
Answer:
1. c
i think its right i hope it is im so sorry if it is not
In a circle with radius 22, an angle measuring 2\pi2π radians intercepts an arc. Find the length of the arc in simplest form.
Answer:
15
Step-by-step explanation:
The length of the arc in its simplest form will be 138.16 units.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
In a circle with a radius of 22, an angle measuring 2π radians intercepts an arc.
Then the length of the arc in the simplest form will be given as,
Arc = (2π/2π) 2π (22)
Arc = 44 x 3.14
Arc = 138.16 units
The length of the arc in its simplest form will be 138.16 units.
More about the arc length of the sector link is given below.
https://brainly.com/question/15955580
#SPJ5
What is the surface area of the figure?
4 cm
3 cm
5 cm
1.5 cm
8 cm
o
A. 12 cm2
B. 24 cm
O
C. 28 cm2
O
D. 42 cm2
Answer:
It should be 24 cm^2
Step-by-step explanation:
there are 3 shape. 2 rectangles and a triangle
to find the area for the rectangle is length x width
to find the area of a triangle its 1/2 x base x height
the small rectangle
4*1.5=6
the bigger rectangle
3*4=12
the triangle
1/2*4*3
1/2*12=6
Add them all up and you get 24
Please help me i dont understand this lol thank you
Answer:
Positive Correlation
Step-by-step explanation:
The Points on the graph are increasing upward, which would make this a positive correlation.
Sara is moving into a new apartment. The Resort complex charges a $600 security
deposit and costs $950 a month for rent. The Uptown Suites Duplex charges a $300
security deposit and costs $1100 a month for rent. After how many months would the
apartments cost the same amount? Which apartment would you recommend Sara move
to if she plans on staying for 6 months? Please show work!
Answer:
1) 2 months
Step-by-step explanation:
y = 950x + 600
y = 1100x + 300
950x + 600 = 1100x + 300
-950x -950x
____________________ subtract slope from both sides
600 = 150x + 300 ( doesn't matter which one)
-300 - 300
____________________ subtract
300 = 150x
_________ Divide each # with the slope
150 = 150
2 = x
____________Answer 2_____________
Answer:
The Resort Complex would save you 300.
step-by-step solution:
you have to do is plug in the number of months.
then multiply
then subtract both Complexes
and compare
The Resort Complex. : y = 950(6) + 600 - 6300
The uptown suite duplex : y = 1100(6) + 300 - 6900
HOPE THIS HELPS!
What is the equation of the line that is parallel to the line y = 3x - 4 and passe
through the point (4,-2)?
O A. --***
O
B. y = 3x - 14
C. y = 3x + 14
O D. y = 3x + 2
Answer:
B. y= 3x -14
Step-by-step explanation:
To find the equation of a line that is parallel to the line y = 3x - 4 and passe
through the point (4,-2), we will follow the steps below;
Equation of a line is y=mx + c
where m is the slope and c is the intercept
To find the slope of the new equation, we will compare y =mx + c and y=3x - 4
The slope of the equation y = 3x-4 is 3
line that are parallel have the same slope, so the slope of the new equation is also m = 3
To find the intercept, we will substitute x=4, y = -2 and m =4 into the formula y =mx + c then solve for c
That is;
y = mx + c
-2 = 3(4) + c
-2 = 12 + c
subtract 12 from both-side of the equation
-2-12 = 12-12 + c
-14 = c
c= -14
we can now substitute m and c into the formula to form the new equation
y = mx + c
y = 3x -14
Please answer this question
Answer:
a = - 2, b = - 1
Step-by-step explanation:
If a polynomial f(x) is divisible by (x + h) then f(- h) = 0
P(x) is divisible by (x + 1), thus P(- 1) = 0 , that is
P(- 1) = (- 1)³ + a(- 1)² - b + 2 = 0 , that is
- 1 + a - b + 2 = 0
a - b + 1 = 0 ( subtract 1 from both sides )
a - b = - 1 → (1)
P(x) is divisible by (x - 2) thus P(2) = 0 , that is
P(2) = 2³ + a(2)² + 2b + 2 = 0 , that is
8 + 4a + 2b + 2 = 0
4a + 2b + 10 = 0 ( subtract 10 from both sides )
4a + 2b = - 10 → (2)
Solve (1) and (2) simultaneously
Multiply (1) by 2
2a - 2b = - 2 → (3)
Add (2) and (3) term by term eliminating the term in b
6a = - 12 ( divide both sides by 6 )
a = - 2
Substitute a = - 2 into (1) and solve for b
- 2 - b = - 1 ( add 2 to both sides )
- b = 1 ( multiply both sides by - 1 )
b = - 1
Triangle Q R S is shown. Line R Q extends through point P. Angle Q S R is 35 degrees. Angle S R Q is 58 degrees. Exterior angle S Q P is x degrees. What is the value of x? [Art not to scale.]
x = 23
x = 35
x = 58
x = 93
Answer:
x = 93
Step-by-step explanation:
Given
<QSR = 35
<SRQ = 58
<SQP = x
Required
Find x
To find the value of x, a triangle needs to be drawn (See attachment).
From the attachment;
<SQP + <SQR = 180 ----------Angle on a straight line (Equation 1)
<SQR + <QSR + <SRQ = 180 ----------- Sum of angles in a s triangle (Equation 2)
Substitute <QSR = 35 and <SRQ = 58 in equation 2
<SQR + 35 + 58 = 180
<SQR + 93 = 180
Subtract 93 from both sides
<SQR + 93 - 93 = 180 - 93
<SQR = 87
SUbstitute 87 for <SQR in Equation 1
<SQP + 87 = 180
Subtract 87 from both sides
<SQP + 87 - 87 = 180 - 87
<SQP = 93
Recall that <SQP = x
So, x = 93
Answer:
x = 93
Step-by-step explanation:
cuz it is
These are my last points. I just wanted to give them away so the first one to answer correctly get the last points.
Answer:
x=-3
Step-by-step explanation:
\left(5^3\right)^2\cdot 5^{x+4}=5^7
Apply\:exponent\:rule
x+10=7
x=-3
Answer:
x = -3
Step-by-step explanation:
(5^3)^2 · 5^(x+4) = 5^7
First of all, we simplify (5^3)^2. When you have an exponent in parentheses that is raised to another exponent that is outside the parentheses, you multiply the exponents.
(5^3)^2 = 5^(3·2) = 5^6
We cannot simplify 5^(x+4) or 5^7 any further, so our equation is now:
5^6 · 5^(x+4) = 5^7
We can divide 5^6 from both sides to get:
5^(x+4) = (5^7)/(5^6)
When exponents of like terms are divided we can subtract the exponents.
5^(x+4) = 5^(7-6)
5^(x+4) = 5^1
This last part is a bit trickier. When exponents of like terms are multiplied we add the exponents. We can use this knowledge to determine that 5^(x+4) is made up of 5^x · 5^4. Now we have:
5^x · 5^4 = 5^1
We can divide both sides by 5^4.
5^x = (5^1)/(5^4)
We simplify the right side by the same way we did earlier when we divided exponents:
5^x = 5^(1-4)
5^x = 5^-3
We can see that x = -3, but using logarithms, we can finish isolating x. Taking the log base 5 of both sides, we get:
x = log₅(5^-3)
If you don't already know, log₅(5^-3) means what exponent do you raise 5 to in order to get 5^-3. After stating it like this, we can clearly see that log₅(5^-3) equals -3.
So x = -3
Another way we could have solved the logarithm is by using one of the laws of exponents. In this case, we would use logₐ(x^y) = y(logₐm). This would give us:
x = -3(log₅5)
x = -3(1)
x = -3
Either way works.
