Answers
Answer: Choice [D] - "power of a power" ✅
Step-by-step explanation:
Hii, do you need to know which law you should use to simplify [tex]\sf\bigg(x^4\bigg)^9[/tex]?
No problem!
The law we will use here is "power of a power".
What "power of powers" means is we raise a power to a power, which is exactly what we do here: We raise x^4 to the power of 9. To simplify our expression, we multiply the powers. ([tex]\boldsymbol{4\cdot9}[/tex])
So the right answer is: Choice [D] - "Power of a power"
The simplified answer is [tex]\LARGE\boldsymbol{x^{4\cdot9}=x^{36}}[/tex]
Voila! There's our answer, cheers!
--
Hope that this helped! Best wishes.
[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.}[/tex]
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Related Questions
What are the domain and range of the function
Answers
x≠-4 (the denominator makes it so x≠4)
and y cannot be -11
* GEOMETRY
please help me show the work for number 15!!
Answers
Answer: (-2, -4)
Step-by-step explanation:
The translation that maps point A onto point B must also map point D onto point C.
Point A maps onto point B after a translation 8 units right and 6 units up, so point C maps onto point D after a translation 8 units left and 6 units down.
Thus, D has coordinates (-2, -4)
what is the gradient if y=-x+3
Answers
Answer:
Slope = - 1
Step-by-step explanation:
The equation is in form [tex]y=mx+c[/tex], [tex]m[/tex] s the slope and [tex]c[/tex] is the intercept on [tex]y[/tex] axis.
Hence, in [tex]y=-x+3[/tex] , slope is -1 and intercept on [tex]y[/tex] axis is 3.
If you can help with this I would be thankful
Answers
The inverse of the function will be [tex]f(x) ^{-1}= 2x - 12\\[/tex]. option C is correct.
What is the inverse of a function?Suppose that the given function is
[tex]f:X\rightarrow Y[/tex]
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist),
then, the inverse of the considered function is
[tex]f^{-1}: Y \rightarrow X[/tex]
The function is given as
[tex]f(x) = \dfrac{1}{2} x - 6\\\\[/tex]
The inverse of the function will be
[tex]f(x) ^{-1}= 2x - 12\\[/tex]
Therefore, option C is correct.
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These points are linear.
Find the slope.
x036912
y12345
[?]
slope =?/?
Answers
Answer:
slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6,3) and (x₂, y₂ ) = (9,4) ← 2 ordered pairs from the table
m = [tex]\frac{4-3}{9-6}[/tex] = [tex]\frac{1}{3}[/tex]
What is the value for y?
Enter your answer in the box.
Answers
Answer:
angle A=angleB .…(समदिबाहु त्रिभुज भएर)
34°=(x-5)°
or, 34=34
angleA+angleB+angleC=180°
or, 34+34+4y=180
or, 68+4y=180
or, 4y=180-68
or, 4y=112
or, y=112÷4
or, y=28
probability of hitting the shaded area
Answers
The probability of hitting the shaded area is 0.64
How to determine the probability?The diameters are given as:
D = 10
d = 6
The shaded area is calculated as:
Shaded = π((D/2)² - (d/2)²)
So, we have:
Shaded = π((10/2)² - (6/2)²)
Evaluate the exponents
Shaded = 16π
The area of the big circle is calculated as:
Area = π(D/2)²
So, we have:
Area = π(10/2)²
Evaluate the exponents
Area = 25π
The probability of hitting the shaded area is:
P = 16π/25π
Evaluate
P = 0.64
Hence, the probability of hitting the shaded area is 0.64
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Solve for x: √x + 3-4=7
Answers
Answer:
x = 64
Step-by-step explanation:
Solve for x: √x + 3-4=7
√x + 3-4=7
= √x + 1 = 7
= √x = 7 + 1
= √x = 8
= (√x)² = 8²
x = 64
Question 13 * A farmer can plant 45 kg of peanuts on 4,000 square metres of land. Which of the following represents the number of peanuts (x) he could plant on 8,500 square metres of land? C. 45 4000 8500 45 8500 1 4000 45 1 8500 4000 Question 13 * A farmer can plant 45 kg of peanuts on 4,000 square metres of land . Which of the following represents the number of peanuts ( x ) he could plant on 8,500 square metres of land ? C. 45 4000 8500 45 8500 1 4000 45 1 8500 4000
Answers
Explanation: your mom told me lastnight
The number of peanuts ( x ) he could plant on 8,500 square meters of land = 95.6 kg
What is unitary method?"It is a method of finding the value of a single unit, and based on that value we can find the required value."
For given question,
A farmer can plant 45 kg of peanuts on 4,000 square meters of land.
Using unitary method,
[tex]\frac{4000}{45}\\\\=88.8888 \\\\\approx 88.89[/tex]
This means, a farmer can plant 1 kg of peanuts on 88.89 square meters of land.
We need to find the number of peanuts ( x ) he could plant on 8,500 square meters of land.
Here, 1 kg = 88.89 square meters
x kg = 8500 square meters
[tex]\Rightarrow x=\frac{8500}{88.89}\\\\ \Rightarrow x = 95.6~kg[/tex]
Therefore, the number of peanuts ( x ) he could plant on 8,500 square meters of land = 95.6 kg
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Hi! Hope you're having a good day. So, there's a problem I had gotten wrong while I was preparing for the ACT, however, I didn't know how to answer the question to begin with. Can someone give me a step-by-step explanation on how this problem is solved correctly? (Picture included). Inside of the picture I included the answer I chose and the correct answer, could you also explain what I had done wrong? I used the FOIL method, but now I think that was incorrect to begin with. I also reattempted to do what I had done before, but each time I get a different answer, if you can help that'd be fantastic! :)
Answers
Answer:
[tex]3a^2+12a+12[/tex]
Step-by-step explanation:
first, you have to plug in x = a+2 into the function, which would look like:
[tex]f(a+2) =3(a+2)^2[/tex]
then, you can first simplify [tex](a+2)^2[/tex]. to do this, use the rule [tex](a+b)^2 = a^2 +2ab + b^2[/tex], so it would be [tex]a^2+(2*a*2)+2^2 = a^2 + 4a + 4[/tex]
this means your new equation is:
[tex]3(a^2+4a+4)[/tex]
you can then distribute the 3:
[tex]3*a^2+3*4a + 3*4 = 3a^2+12a+12[/tex]
let me know if there's anything you want me to clarify!
Solve for X
picture below
Answers
Explanation u make it equivalent to 4^3x=4^4(x+1) then u solve it to 3x=4(x+1) which equals x=-4
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = P(male) = 0.4.
P(male | buys lunch) = P(male) = 0.3.
P(buys lunch | male) = 0.3 and P(male) = 0.4.
P(male | buys lunch) = 0.4 and P(male) = 0.3.
Answers
The events "male” and "buys lunch” are not independent because P(male | buys lunch) = 0.4 and P(male) = 0.3.
Complete questionJames surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.
Bring lunch: 46 males, 254 females
Buy lunch: 176 males, 264 females
The events "male" and "buys lunch" are not independent because
How to determine the probability?The number of male students is:
Male = 46 + 176
Male = 222
The number of female students is:
Female = 254 + 264
Female = 518
The total student is:
Total = 222 + 518
Total = 740
Next, calculate the probability of selecting a male student
P(Male) = 222/740
P(Male) = 0.3
Of all the 440 that buy lunch, 176 are male,
So, we have:
P(male | buy lunch) = 176 / 440
P(male | buy lunch) = 0.4
Because
P(male | buy lunch) and P(male) are not equal.
Then, the events "male” and "buys lunch” are not independent
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Question 1(Multiple Choice Worth 4 points)
(02.02) The figure shows the letter Z and four of its transformed images-A, B, C, and D:
Z.
B
6-
5-
3-
2-
n
Answers
The figure that shows the reflection of the letter Z is C
Complete questionThe figure shows the letter Z and four of its transformed images—A, B, C, and D
Which of the four images was formed by a reflection of the letter Z?
A B C D
How to determine the reflection of Z?From the graph, see attachment, we have the following highlights:
The letter Z is in the second quadrant.
Also, B and D are letter Z.
So, they cannot represent the reflection
When reflected across the x-axis, the reflection is C
Hence, the figure that shows the reflection of the letter Z is C
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A line segment has endpoints Q(-16, -12) and R(21, -8).
What is the midpoint of the line segment?
02¹-201
Answers
Answer:
(2.5, - 10 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = (- 16, - 12 ) and (x₂, y₂ ) = (21, - 8 ) , then
midpoint = ( [tex]\frac{-16+21}{2}[/tex] , [tex]\frac{-12-8}{2}[/tex] ) = ( [tex]\frac{5}{2}[/tex], [tex]\frac{-20}{2}[/tex] ) = (2.5, - 10 )
Answer: c - (2 1/2 - 10)
Step-by-step explanation:
The composite figure is made up of a parallelogram and a rectangle. Find the
area. (choices in picture)
Answers
Answer:
88 sq. units
Step-by-step explanation:
1st. BxH
12-4 = 8 is our Base
8x8=64 that is out 1st area
and 2nd area is LxW which is 12x2 = 24
64+24= 88 sq. units
Determine the relationship between the two triangles and whether or not they
can be
proven to be congruent.
Answers
Answer: These ARE congruent to each other.
Step-by-step explanation: Do you see the ''tick marks?'' They both have 1 set of 2, and 1 set of 1. If that makes sense. They also have a "angle" in one of their acute angles.
(5+4) +10=5+(4+10)
A. True
B. False
Answers
Answer:
A. True
Step-by-step explanation:
One of the ways to check this is solving each side of the equation.
(5+4)+10=5+(4+10)
Remember PEMDAS.
Parenthesis first.
(9)+10=5+(14)
Now, you can drop the parenthesis and add the numbers together.
9+10=19
5+14=19
19=19
This is a true statement.
Hope this helps!
If not, I am sorry.
Identify the domain of the given function.
Answers
Answer:
choice C
Step-by-step explanation:
x could be any number except -1.
Cause for x=-1 the denominator becomes undefined.
The surface area of the triangular prism is
.
Answers
Answer:
576 m
__________________________________________________________ The surface area of the triangular prism is (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh
For this question,
you know that the perimeter of the base is 6+10+8 which is 24.
and the length of the prism is 22,
so (22x24) + Base Area which is (6x8)/2-> 24x2
(22x24)+(24x2)= 528 + 48 = 576
so your answer is 576
__________________________________________________________
Hope this helped!
which equation represents the line through (4,5) and (0,-3)
A. y = 2x + 3
B. y = 2x - 3
C. y = -2x - 3
D. y = -2x + 3
Answers
The linear equation that represents the line that passes through the points (4,5) and (0,-3) is given by:
B. y = 2x - 3
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The line passes through (0,-3), that is, when x = 0, y = -3, hence the y-intercept is of b = -3.
The slope is given by the change in y divided by the change in x, hence:
m = (5 - (-3))/(4 - 0) = 2
Hence the equation is:
y = 2x - 3.
Which means that option B is correct.
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pls help
B (20,25) (12,9)
C (150,125) (96,64)
D ( 25, 150) (16,96) (9,54)
E (5,125) (4,64)
Answers
Answer:
Side Length and Perimeter of One Face
Step-by-step explanation:
See attached image.
What is the measure of x?
16
x=[?]
Give your answer in simplest form.
Answers
Answer: [tex]8\sqrt{5}[/tex]
Step-by-step explanation:
By the geometric mean theorem,
[tex]\frac{y}{16}=\frac{4}{y}\\\\y^{2}=64\\\\y=8[/tex]
Thus, by the Pythagorean thoerem,
[tex]8^2 +16^2=x^2\\\\320=x^2\\\\x=\boxed{8\sqrt{5}}[/tex]
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)
Answers
Answer:
A = 27π cm²
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
the central angle of the shaded sector = 360° - 90° = 270° , then
A = πr² × [tex]\frac{270}{360}[/tex]
= π × 6² × [tex]\frac{3}{4}[/tex]
= 36π × [tex]\frac{3}{4}[/tex]
= 9π × 3
= 27π cm²
Identify the causes of immigration and emigration?
Answers
A person can immigrate to another country for educational purposes.
A person can emigrate to another country for work.
A person can emigrate to another country due to war in their own country.
What is emigration and migration?
Migration is when a person moves from one geographical location or another. Immigration and emigration are types of migration.
Immigration is when a person moves to a foreign country. For example, when a US citizen moved to Italy for work. Emigration is when a person lives his home country.
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Find the value of x in each case:
Answers
x = 90°
2x = 180°
Step-by-step explanation:
angle VTS= angle TSR (alternate angle)
now in ∆TRS,
2x + x + x = 360° (angle sum property of ∆)
4x = 360°
x = 90°
the lines shown are parrallel. if the green line has a slope of 5, what is the slope of the red line
Answers
Answer:
if a line is parallel they have the same slope
so the slope is 5
Hope This Helps!!!
Simplify the following expression 7a + 5b - 2a + b
Answers
Answer:
5a + 6bStep-by-step explanation:
Simplify the following expression:
Simplify the following expression:
7a + 5b - 2a + b =
5a + 6b
i'm confused
Find the value of x.
A. 5
B. 31
C. 25
D. 11
Answers
Answer:
D. 11
Step-by-step explanation:
Take the two horizontal line measurements and subtract them.
13-9=4
That is how much it changed between these two numbers. Since x is exactly halfway between, simply divide 4 and 2.
4/2=2
Now, add that to 9 or subtract it from 13.
9+2=11
or
13-2=11.
Hope this helps!
If not, I am sorry.
Answer:
D. 11
Step-by-step explanation:
Since segment AC bisects segments ED and BF, the length of AC is the average of the lengths of EB and DF.
AC = x = (EB + DF)/2 = (9 + 13)/2 = 22/2 = 11
Answer: D. 11
what does X equal to in this equation
Answers
Answer:
17
Step-by-step explanation:
5x+5x+10=180
10x=170
x=17
Answer:
Answer is 17
Step-by-step explanation:
It is done in this step
5x +5x+10=180
10x=170
x=17
According to the property
below?
√30
OA. 25
OB. -√5
O C. 5
OD. -5
OE. √5
Vo = √ which choice is equivalent to the quotient
4
Answers
Answer:
√30/6 = √5
The correct answer would be E
The value of the expression √30/√6 is √5, option E is correct.
What is Number system?A number system is defined as a system of writing to express numbers.
The given property is √a/√b = √(a/b)
Now we have to find the equivalent to the quotient √30/√6
By the given property let us plug in a as 30 and b as 6
√30/√6
= √(30/6)
When we simplify the fraction inside the root we get 5
= √5
Hence, the value of the expression √30/√6 is √5, option E is correct.
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