Answers
Answer:
D. [tex]4^{15}[/tex]
Step-by-step explanation:
[tex]=(4^3)^5[/tex]
Multiply the exponent inside the parenthesis with the exponent outside.
[tex]=4^{15}[/tex]
Hope this helps.
Answer:
4^15
Step-by-step explanation:
Ok, so lets replace the base, 4, with x so we don’t get confused by it:
(X^3)^5
When we raise a power to a power, we multiply them , so:
(X^15)
Remember x is 4, so:
4^15 is the answer
Related Questions
i need help with this
Answers
Answer:
Step-by-step explanation:
64
128°
Step-by-step explanation:
The measure of the intercepted arc is twice the measure of the inscribed angle in a circle. Since the inscribed angle is given as 64°, that means that the intercepted arc x is 2×64° = 128°
can someone answer pleaseeee
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 10(1.02)n
Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)
Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)
Answers
Answer:
Step-by-step explanation:
11.04 = 10(1.02)^n
1.104 = 1.02^n
ln 1.104 = ln 1.02^n
ln 1.104 = n ln 1.02
n = ln 1.104/ ln 1.02
n = 4.99630409516
4.99 can be rounded to 5.
So a reasonable domain would be 0 ≤ x < 5
PART B)
f(0) = 10(1.02)^0
f(0) = 10(1)
f(0) = 10
The y-intercept represents the height of the plant when they began the experiment.
f(1) = 10(1.02)^1
f(1) = 10(1.02)
f(1) = 10.2
(1, 10.2)
f(5) = 10(1.02)^5
f(5) = 10(1.1040808)
f(5) = 11.040808
f(1)=10(1.02)^1
f(1)=10.2
Average rate= (fn2-fn1)/(n2-n1)
=11.04-10.2/(5-1)
=0.22
the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.
k+9=7..................................................
Answers
Answer:K=-2
Step-by-step explanation:
becuase you do the opposite of +9 which is -9 and you do 7-9 which is -2 so K=-2
In the short run, higher demand will not influence the price, it will influence
A. output.
B. price.
ОО
C. investment.
D. input.
Answers
Answer:
c espero q passe na prova tudo de bom pra vc
The total population of ethnic Southeast Asian students from Burma, Laos, Thailand, Vietnam, and Kampuchea at your university is currently 100 students. The administration of the university wants to increase the diversity of the student body and decides to increase the number of students from Southeast Asia by 8 percent each year, (over the prior year's enrollment) for a period of 15 years. How many students from Southeast Asia will be enrolled at your university after the 15 year period
Answers
Answer:
the number of students that enrolled after 15 year is 317
Step-by-step explanation:
The computation of the number of students that enrolled after 15 year is shown below;
We know that
Future value = Present value × (1 +rate of interest)^number of years
= 100 × (1+8%)^15
= 100 × 1.08^15
= 317
Hence, the number of students that enrolled after 15 year is 317
The same should be considered and relevant
Classify each as true or false. if the statement is true, identify the theorem. if the statement is false, give a counter example to show it is false.
Answers
Answer:
a) true.
if 3 can divide a without remainder, then a = 3×x.
doubling that number makes it 2×3×x. because of that still included factor 3, it is still divisible by 3 without remainder.
b) false.
example :
a=6, b=4, c=3
bc = 12
6 can divide 12 without remainder, but 6 cannot do that with 4 and not with 3.
or
a=7, b=35, c=10
bc=350
7 can divide 350 without remainder, and can do that also with 35, but not with 10.
Find the equation (in terms of x ) of the line through the points (-2,5) and (3,4)
y=
Answers
Answer:
[tex]{ \boxed{ \bf {general \: equation : y = mx + c}}} \\ m \: is \: the \: slope \\ { \green{slope = \frac{ \triangle \: y}{ \triangle \: x} }} \\ m = \frac{(4 - 5)}{(3 - ( - 2))} \\ m = - \frac{1}{5} \\ \therefore \: { \red{y = - \frac{1}{5} x + c}} \\ consinder \: the \: first \: point : \\ 5 = ( - \frac{1}{5} \times - 2) + c \\ c = \frac{23}{5} \\ \therefore \: { \boxed{ \bf{answer : 5y = - x + 23}}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
what'd the greatest common factor (GCF) for each pair of numbers. 25, 55 The GCE IS
Answers
Answer:
5
Step-by-step explanation:
5 l 25,55
l 5,11
What are the solutions to
96x(730) = (85/x)(15)
in decimal form?
Answers
Answer:
[tex]x = 0.1349[/tex]
Step-by-step explanation:
Given
[tex]96x (730) = (85/x)(15[/tex]
Multiply both sides by x
[tex]96x^2 (730) = 85 * 15[/tex]
[tex]96x^2 (730) = 1275[/tex]
Rewrite as:
[tex]96*730x^2 = 1275[/tex]
[tex]70080x^2 = 1275[/tex]
Divide by 70080
[tex]x^2 = 0.01819349315[/tex]
Take square roots of both sides
[tex]x = 0.1349[/tex]
1. Suppose that a die is rolled twice. What are the possible values that the following random variables can take on: (a) the maximum value to appear in the two rolls: (b) the minimum value to appear in the two rolls; (c) the sum of the two rolls; (d) the value of the first roll minus the value of the second roll? 2. If the die in Problem 1 is assumed fair, calculate the probabilities associated with the random variables in parts (a) through (d).
Answers
Answer:
hat mather chosen to be mather
Help please this is so hard I don't understand it
Answers
Answer:
<ABC = 15
< BAC = 150
Step-by-step explanation:
<C = <B since this is an isosceles triangle. We know this because AC = AB
<C = 15 so <ABC = 15
The sum of the angles of a triangle is 180
A + B+ C = 180
A + 15+15 = 180
A +30 =180
A = 180-30
A = 150
< BAC = 150
Please solve the puzzle!
Answers
It looks like the number 6 goes there. It seems to be the only one missing :|
A road in Europe has a speed limit of 60 kilometers per hour. How many miles per hour is this?
Answers
Answer: 37.28 mph
Step-by-step explanation:
I’ll give u brainlest please
Answers
Answer:
315
Step-by-step explanation:
the formula is V = B * h
B is the area of the base
V = (1/2)(10)(7) * 9
Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use s1, s2, and s3, respectively, for the vectors in the set.)
S = {(3,4),(−1,1),(2,0)}
Answers
Answer:
Let's define:
s1 = (3, 4)
s2 = (-1, 1)
s3 = (2, 0)
The system will be linearly dependent if we can write one of the vectors as a linear combination of the other two, so for example:
s1 = a*s2 + b*s3
where a and b are real numbers.
So let's try to solve this:
(3, 4) = a*(-1, 1) + b*(2, 0)
Note that the second term in the left only modifies the x-component. And the y-component in the left is 4, so we can conclude that a = 4 (because the first term is the only that has an y-component different than zero)
(3, 4) = 4*(-1, 1) + b*(2, 0)
(3, 4) = (-4, 4) + b*(2, 0)
Now we need to solve:
3 = -4 + b*2
3 + 4 = b*2
7 = b*2
7/2 = b
Then the linear combination is:
s1 = 4*s2 + (7/2)*s3
(3, 4) = 4*(-1, 1) + (7/2)*(2, 0)
Then the set is linearly dependent.
what is the coefficient of y in 2-5y÷2
Answers
Answer:
-5/2 because there is -5y/2 but we have to take coefficient only so -5/2
Choose the correct vertex of the function f(x) = x2 - X + 2.
Answers
Answer:
The vertex of the function is [tex](\frac{1}{2}, \frac{7}{4})[/tex]
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
f(x) = x² - X + 2.
Quadratic equation with [tex]a = 1, b = -1, c = 2[/tex]
So
[tex]\Delta = b^2-4ac = (-1)^2 - 4(1)(2) = 1 - 8 = -7[/tex]
[tex]x_{v} = -\frac{(-1)}{2} = \frac{1}{2}[/tex]
[tex]y_{v} = -\frac{-7}{4} = \frac{7}{4}[/tex]
The vertex of the function is [tex](\frac{1}{2}, \frac{7}{4})[/tex]
One sixth of the students of a class joined the
sports club. Three fifth of these students opted
to play table tennis. If 6 students play table
tennis, how many students are there in the
class?
Answers
Answer:
5/8 the answer answer answer
Please help ASAP thank you
Answers
Answer:
if you still need the answer its B here the explenation in a picture:
Step-by-step explanation:
A survey of 1000 young adults nationwide found that among adults aged 18-29, 35% of women and 30% of men had tattoos. Suppose that these percentages are based on random samples of 500 women and 500 men. Using a 2.5% level of significance, can you conclude that among adults aged 18-29, the proportion of all women who have tattoos exceeds the proportion of all men who have tattoos?
Answers
Answer:
95% confidence interval for adults in age group 18-29 is (-0.007, 0.107)
Step-by-step explanation:
Given
N1 = n2 = 500
% of males = 0.30
% of females = 0.35
95% confidence interval
(p2-p1) + z(0.025) sqrt (p1q1/n1 + p2q2/n2) and (p2-p1) - z(0.025) sqrt (p1q1/n1 + p2q2/n2)
Substituting the given values, we get –
(0.35-0.30) + 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500) and (0.35-0.30) - 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500)
0.05 + (1.96 *0.029) and 0.05 - (1.96 *0.029)
0.05 + 0.057 and 0.05 – 0.057
(-0.007, 0.107)
Can someone help me please???!
Answers
Answer:
1) Yes, it is a right angle triangle
2)Yes, it is a right angle triangle
3) No, they are not similar.
Step-by-step explanation:
Dimension of triangle A = 48, 55 & 73
Dimension of triangle B = 36, 77 & 85
For any of the triangles to be a right angled one, then;
c = √(a² + b²)
Where a,b & c are side dimensions of a triangle.
Thus;
Triangle A: c = √(48² + 55²)
c = √5329
c = 73
This tallies with what we are given and so it is a right angled triangle.
Triangle B: c = √(36² + 77²)
c = √(7225)
c = 85
Similar to the third side dimension of 85, thus it is true.
For Triangle A & B to be similar, the ratio of the 3 corresponding sides must be in a whole number ratio.
Thus, we have;
48/36 = 1.5
55/77 = 5/7
73/85 = 73/85
Since the ratios are not similar, then we can say that the triangles are not similar.
Given the triangle below, answer the following:
Answers
Answer:
Step-by-step explanation:
question no . 5
ratio of angle L
take angle as reference angle
using cos rule
cos L = base / hypotenuse
= 4/5
ratio of angle N
take angle N as reference angle
using sin rule
sin N = opposite / hypotenuse
= 4/5
for measure of angle L
cos L = 4/5
cos L = 0.8
L = [tex]cos^{-1}(0.8)[/tex]
L = 36.9
for meanure of angle N
sin N = 4/5
sin N = 0.8
N = [tex]sin^{-1}(0.8)[/tex]
N = 53.1
60°
b
45°
8
Find a, b, and c.
Plz help :)
Answers
Answer:
step 1 : 8/b = sin 45 degree so b = 11.31
step 2 : a/b = sin 60 degree, so a = 9.8
step 3: c/b = cos 60 degree, so c = 5.66
Consider the sequence Two-fourths, three-fifths, four-sixths, StartFraction 5 Over 7 EndFraction, ellipsis Which statement describes the sequence? The sequence diverges. The sequence converges to 0. The sequence converges to 1. The sequence converges to [infinity].
Answers
Answer:
The sequence converges to 1
Step-by-step explanation:
Given
[tex]\frac{2}{4}. \frac{3}{5}, \frac{4}{6}, \frac{5}{7},...[/tex]
Require
Description of the sequence
The given sequence follows:
[tex]\frac{2}{4}. \frac{3}{5}, \frac{4}{6}, \frac{5}{7},... \frac{n+1}{n+3}[/tex]
i.e.
[tex]T_n = \frac{n+1}{n+3}[/tex]
For every term,
[tex]\frac{n+1}{n+3} < 1[/tex]
In other words,
as the value of n increases, [tex]\frac{n+1}{n+3}[/tex] approaches 1
Hence, (c) is true
Find the equation of the straight line that passes through the points (1, 10) and (3, 2)
ANSWER ASAP
Answers
Answer:
y = -4x+14
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
m = (2-10)/(3-1)
=-8/2
= -4
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -4x+b
Substitute a point into the equation
10 = -4(1)+b
Add 4 to each side
14 = b
y = -4x+14
In the diagram, the lines dividing parking spaces are parallel. The measure of ∠1 is 110°. Identify the measures of each labeled angle to ensure cars can park safely.
Answers
Answer:
1=110 2=70 3=70 4=110 5=110 6=70 7=70 8 =110
Step-by-step explanation:
its the answer
Which of the following is NOT a solution to the linear equation y=3x+2?
Select the correct answer below:
(1,5)
(2,8)
(3,10)
(4,14)
Answers
Answer:
(3,10)
Step-by-step explanation:
When x is 3
[tex]{ \bf{y = 3x + 2}} \\ { \bf{y = (3 \times 3) + 2}} \\ { \bf{y = 11}}[/tex]
y is 11, and this is invalid because it is not at accord.
The correct coordinates which is NOT a solution to the linear equation
y = 3x+2 is,
⇒ (3, 10)
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Linear equation is,
⇒ y = 3x + 2
We know that;
The solution of linear equation is satisfy the eqaution.
Hence, We can check as;
⇒ y = 3x + 2
Put x = 1. y = 5
⇒ 5 = 3 × 1 + 2
⇒ 5 = 5
Thus, It is solution of linear equation.
⇒ y = 3x + 2
Put x = 2. y = 8
⇒ 8 = 3 × 2 + 2
⇒ 8 = 8
Thus, It is solution of linear equation.
⇒ y = 3x + 2
Put x = 3, y = 10
⇒ 10 = 3 × 3 + 2
⇒ 10 ≠ 11
Thus, It is not solution of linear equation.
Thus, The correct coordinates which is NOT a solution to the linear equation y = 3x+2 is,
⇒ (3, 10)
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
what are the range and domain?
Answers
Answer:
domain=0
range=2
Step-by-step explanation:
this might be helpful..
What is the slope of the line shown in the graph?
A coordinate plane is shown with points graphed at −2 comma 2 and 0 comma 1. The points are joined by a line.
−2
−1
−1 over 2
1 over 2
Answers
Answer:
-1 over 2
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
The line joins (-2, 2) and (0, 1).
Remember that slope equals change in y all divided by the change in x.
Here,
change in y = 1 - 2 =- 1
change in x = 0 -(-2) = 2
Thus, slope =- 1/2
What is y=4/5x+2 written in standard form?
Chose 1 answer:
A.−4/5x+y−2=0
B. 5y=4x+10
C. y=4/5(x+5/2)
D. −4x+5y=10
Answers
Answer:
The "Standard Form" for writing down a Linear Equation is
Ax + By = C
A shouldn't be negative, A and B shouldn't both be zero, and A, B and C should be integers.
--------------------------------
y = 4/5x + 2
Multiply both sides by 5 to clear the fraction
5y = 4x + 10
Subtract 4x from both sides
-4x + 5y = 10 This is answer D, BUT A shouldn't be negative
Multiply both sies by -1
4x - 5y = -10 This is correct Standard Form, BUT it is not one of the choices
Answer D is closest to being correct