Answer:
[tex] {(1.9 \times {10}^{5}) }^{3} [/tex]
open the bracket:
[tex] = {1.9}^{3} \times {10}^{(5 \times 3)} \\ { \boxed{= 6.859 \times {10}^{15} }}[/tex]
please help me, if you help then thanks!
9514 1404 393
Answer:
k = 3
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
__
Using these rules, we can simplify the left-side expression, then equate exponents of the same base.
[tex](3)^2(3^2)^k=3^8\\\\(3^2)(3^{2k})=3^8\\\\3^{2k+2}=3^8\\\\2k+2=8\qquad\text{equate exponents}\\\\k+1=4\qquad\text{divide by 2}\\\\\boxed{k=3}\qquad\text{subtract 1}[/tex]
f(x)=x^4+3, g(x)=x-7 and h(x)=square root of x then f(g(h(x))=
Answer:
x² - 28x√x + 294x - 1372√x + 2404
Step-by-step explanation:
f(x) = [tex]x^{4}[/tex] + 3
g(x) = x - 7
h(x) = √x
f(g(h(x))) - ?
g(h(x)) = √x - 7
f(g(h(x))) = [tex](\sqrt{x} -7) ^{4}[/tex] + 3 = ( √x - 7 )² × ( √x - 7 )² + 3 =
= (x - 14√x + 49)(x - 14√x + 49) + 3 =
= x² - 14x√x + 49x - 14x√x + 196x - 686√x + 49x - 686√x + 2401 + 3 =
= x² - 28x√x + 294x - 1372√x + 2404
a / b = c for b find b
Answer:
b = c/a
Step-by-step explanation:
a/b = c
c/a = b
Dose anyone knows how to solve this?
Answer:
sorry i don't know
i hope i can help u next time
A garage sale has a total of 48 shirts
and 6 jackets for sale. Select the
answer that shows the ratio of shirts
compared to jackets in simplest form.
Answer:
d
Step-by-step explanation:
48/6=8
8/1
In Exercises 9-12 solve y=f(x) for x then find the input when output is 2 9. F(x)=x+5 10. F(x)=2x-3 11. F(x)= 1/4x -1 12. F(x)= 2/3x+4
Step-by-step explanation:
Q9 . y = x + 5
x= y-5
× the input
y the output
x= -3
Q10.
y = 2x -3
y+3 = 2x
x = (y+3) ÷ 2
× = 5/2
= 2.5
Q11.
y = 1/4x - 1
y+1 = 1/4 x
4y+4 = x
x = 12
Q 12 .
y = 2/3x + 4
y-4 = 2/3x
3(y-4) = 2x
x = 3(y-4)/2
x = -3
what is the value of 4 to the second power - 2 ( 3 times 5 + 1)
Answer:
4 to the second power = 16. that leaves us with 16 - 2 ( 3 x 5 + 1). next, multiply 3 x 5 = 15. that leaves us with 16 - 2 ( 15 + 1 ). next, add 15 + 1 = 16. that leaves us with 16 - 2 ( 16 ). next, multiply 2 ( 16 ) = 32. finally, subtract 16 - 32 = -16
Step-by-step explanation:
your answer is -16. hope this helps
Convert binary into decimal number.
if u can please help me in my last question
Answer:
i think answer is 819...........
Algebra Question: Answer quickly.
Given the following functions:
f (x) = x2
g (x) = x − 3
Find the composition of the two functions and show your process:
Answer:
x^2 -6x +6
Step-by-step explanation:
f (x) = x^2
g (x) = x − 3
f(g(x)) = Substitute g(x) in for x in the function f(x)
= (x-3)^2 -3
=x^2 -3x-3x+9 -3
=x^2 -6x +6
Round each number to the nearest hundred 124 =
2311=
48=
Help, i've been trying for around 30mins and I can't figure it out.
Answer:
Option A and CStep-by-step explanation:
As,
[tex]2 \sqrt{75} + 3 \sqrt{50} [/tex]
[tex] = 2 \sqrt{25 \times 3} + 3 \sqrt{25 \times 2} (A) [/tex]
[tex] = 2 \times 5 \sqrt{3} + 3 \times 5 \sqrt{2} [/tex]
[tex] = 10 \sqrt{3} + 15 \sqrt{2} (C)[/tex]
Answer:
A and C.
Step-by-step explanation:
2 √75 + 3√50
= 2√(25*3) + 3√(25*2)
- so A is one.
2 √75 + 3√50
= 2√25√3 + 3√25√2
= 2*5√3 + 3*5√2
= 10√3 + 15√2
which is C.
It takes 1 1/4 ounces to make 1 serving how many servings is in a 16 ounce box
Answer: 1 1/2 because if you do 11/4 then it can go only one time if you have 16 ounces, and you just add the rest until it gets to 16.
Step-by-step explanation: Hope I helped.
Determine the value of f (–3) for the function
0
Undefined
3 over 8
15
Answer:
0
Step-by-step explanation:
f(-3) = (3(-3) +9)/((-3)³-4(-3)²+(-3)-6)
= (-9+9)/(-27-36-9)
=0/(-72)
= 0
Answer:
I've come as your salvation. The answer to THIS specific problem is 0. Be careful because there are similar problems and that might be the reason you get it wrong. I did the quiz and got 100 so 0 for sure.
Step-by-step explanation:
Which answer is the simplified form of the radical expression [tex]\sqrt{288}[/tex] ?
Answer:
12 sqrt 2 (D)
Step-by-step explanation:
12^2=144
Divide 288 by 144=
2
Bring out the 12
12 sqrt 2
Answer:
D
Step-by-step explanation:
[tex]\sqrt{288}=\sqrt{2\cdot 144}\\=\sqrt{144}\cdot \sqrt{2}\\=12\sqrt{2}[/tex]
help...........................
You can reformulate the expression in a more easier way, by using the concept of fraction. And so you get :
[tex]\frac{55}{11(\frac{120}{2*(4+(10+5-7)} )} =\frac{55}{11(\frac{120}{2*(12)} )}=\frac{55}{11(\frac{120}{24} )}=\frac{55}{11*5} = \frac{55}{55} =1[/tex]
Select the correct answer.
The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed. Which statement is true?
A.
The mean of data set X is greater than the mean of data set Y.
B.
The median of data set X is less than the median of data set Y.
C.
The standard deviation of data set X is greater than the standard deviation of data set Y.
D.
The range of data set X is less than the range of data set Y.
E.
The mode of data set X is greater than the mode of data set Y.
Answer:
C. The standard deviation of data set X is greater than the standard deviation of data set Y.Step-by-step explanation:
A. The mean of data set X is greater than the mean of data set Y.
FALSE, there is no indication its true as per given statement.B. The median of data set X is less than the median of data set Y.
FALSE, there is no indication its true as per given statement.C. The standard deviation of data set X is greater than the standard deviation of data set Y.
TRUE, the greater the spread the greater the standard deviation.D. The range of data set X is less than the range of data set Y.
FALSE, the range of X would be greater with a greater spread.E. The mode of data set X is greater than the mode of data set Y
FALSE, there is no indication its true as per given statement.C.
C. The standard deviation of data set X is greater than the standard deviation of data set Y.
is a true statement .
Answer:
The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed. Which statement is true?
A.
The mean of data set X is greater than the mean of data set Y.False
B.
The median of data set X is less than the median of data set Y.False
C.
The standard deviation of data set X is greater than the standard deviation of data set Y.True
D.
The range of data set X is less than the range of data set Y.False
E.
The mode of data set X is greater than the mode of data set Y.False
solve the following equations by using cramer's rule
Answer:
where is question huh??Referring to the Fig
find m∠2
Answer:
m ∠ 2 = 150°
Step-by-step explanation:
30°+ m ∠ 1 = 180°
m ∠ 1 = 180 – 30 = 150°
m ∠ 1 and m ∠ 2 = 150° —> Opposite angles
I hope I helped you^_^
Please help i will give extra points
Answer:
20
Step-by-step explanation:
solve expression like in the image attached
A rectangle's width is one-seventh its length, and its perimeter is 160 m. Find the dimensions of the rectangle.
Answer:
dimensions of the rectangle is 70m by 10m
Step-by-step explanation:
w = 1/7 X L
p = 160m
p = 2(L + W)
p = 2( L + L/7)
160/2 = (L + L/7)
80 =( 8L/7)
Make L subject of formula
L = 80 X 7/8
L = 10x 7
L = 70m
W = 1/7 X L
W = 1/7 X 70 = 10m
PLEASE HELP I NEED AN ANSWER
I WILL GIVE BRAINLIEST
Answer:
3rd option
Step-by-step explanation:
how do you determine if a graph is a function or not
Show example
Answer: Vertical line test. You can show just a random parabola and draw a line threw it.
Step-by-step explanation:
Vertical Line test basically just says that the parabola has no to y coordinates for one x as that one make it not a function.
What is the volume of 2/5m and 2 4/5m3
Answer:
Step-by-step explanation:
36 cubic meters
HELP MEEEEE PLEASEEEEEE!!!
Which expression is equivalent
Answer:
[tex](-7)^{-2}[/tex]
Step-by-step explanation:
Simplify.
(If an answer is undefined, enter UNDEFINED.)
6/10
Answer:
3/5
Step-by-step explanation:
1.) Find the Greatest Common Factor of 6/10.
2
2.) Divide both the numerator and the denominator by the greatest common factor.
6÷2
10÷2
3.) Simplify 6÷2/10÷2
3/5
can some one help me with geometric sequence?
Answer:
See below
Step-by-step explanation:
We have the series
[tex]$\sum _{ n=0 }^{ \infty }{ 3(0.8)^n}$[/tex]
(a) To show that the sum of first [tex]n[/tex] terms is [tex]S_n= 15(1-0.8^n)[/tex]
Consider that the this sum is given as
[tex]S_n = 3\dfrac { 1-{ r }^n}{ 1-r }[/tex]
In this case, the ratio is 0.8, thus, [tex]r=0.8[/tex]
[tex]S_n = 3\dfrac { 1-{ 0.8 }^n }{ 1-0.8 }[/tex]
[tex]3\dfrac { 1-{ 0.8 }^{ n } }{ 1-0.8 } = 15(1-0.8^n) \iff 3(1-{ 0.8 }^{ n }) = 15(1-0.8^n)( 1-0.8) \iff 3 = 15(1-0.8) \iff 3 = 15-12 = 3[/tex]
Therefore,
[tex]S_n = 3\dfrac { 1-{ 0.8 }^n }{ 1-0.8 } = 15(1-0.8^n)[/tex]
[tex]\dfrac{S_6}{S_4} = \dfrac{15(1-0.8^6)}{15(1-0.8^4)} = \dfrac{(1-0.8^6)}{(1-0.8^4)} = \dfrac{0.737856}{0.5904} = \dfrac{737856}{5904} = \dfrac{144\cdot 5124}{144\cdot 41} = \boxed{\dfrac{5124}{41} }[/tex]
(b) Calculate the smallest integer value of [tex]n[/tex] such that [tex]S_{40} -S_n < \dfrac{1}{2}[/tex]
Once [tex]S_{40} \approx 15 \text{ and } S_n>14.5, \text{ thus } S_{40} \approx S_n, \text{ but } n \text{ is considerably smaller than 40}[/tex]
I am considering [tex]S_{40}=15[/tex], so
[tex]15-15(1-0.8^n) < \dfrac{1}{2} \implies 0.8^n < 0.03 \implies n> 15.71[/tex]
[tex]\text{Once } n\in\mathbb{Z}, \text{ then } n=16[/tex]
Referring to the figure, is the transformation a
rotation about the origin?
a. yes
b. no
Answer:
yes.
Step-by-step explanation:
90 Degree Rotation. When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x).
Solve the compound inequality.
2(x - 2) + 7> -1 and 5 – 4x > 9
Nrite the equation of the line whose slope is 2 and y intercept is -1.
Answer:
y=2x-1
Step-by-step explanation:
