The answer is in the image:
how do you simplify this
Answer:
6^8
Step-by-step explanation:
so whenever there is an exponent outside of a parentheses, multiply it with the exponent inside the parentheses:
so (6^4)^2= 6^8
Hope this helps!
Answer:
well the answer is 1679616
Step-by-step explanation:
how you search it up is (6^4)^2 and how you do it is times 6 by 6 by 6 by 6 then whatever that comes out to (1296) you would multiply that twice (1296 times 1296) and that'd be your answer ( 1679616)
Find the ratio of book price to number of pages for each ordered pair. Round your answer to the nearest hundredth. A 3-column table has 4 rows. Column 1 is labeled x Number of pages with entries 100, 400, 125, 350. Column 2 is labeled y Price of Book (dollar sign) with entries 5. 00, 20. 00, 6. 25, 15. 0. Column 3 is labeled Ration of y colon x with entries 0. 05, a, b, c. A = , b = , c =.
The ratio of book price to number of pages for the ordered pairs a, b , and c are:
A = 0.05B = 0.05C = 0.043The ratio of book price to number of pages can be evaluated for each ordered pairs as follows;
For a = 20.00/400 = 0.05For b = 6.25/125 = 0.05For c = 15.0/350 = 0.043
Therefore, ratio of book price to number of pages for the ordered pairs a, b , and c are:
a = 0.05
b = 0.05
c = 0.043
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What is the average rate of change for this exponential function for the interval from x = 7 to x = 8?
Answer:
4374
Step-by-step explanation:
Since, we are given table for x and y values
and table for average rate of changes
we can see the pattern of average rate of change
average rate of change for 5 to 6 is three times average rate of change for 4 to 5
but we have to find
average rate of change for 7 to 8
so, using same pattern
average rate of change for 6 to 7 is three times average rate of change for 5 to 6
average rate of change for 7 to 8 is 3*3( average rate of change for 5 to 6)
so, we can plug value
average rate of change for 7 to 8 is 3*3*486
average rate of change for 7 to 8 is 4374
Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: f(x) = 2^(x−5) + 3, g(x) = 2x − 5, h(x) = 8/x + 10
quickly please!!!!
Answer:
The point where f(x), g(x), and h(x) have the same value is (8, 11)
Step-by-step explanation:
The points where g(x) and h(x) have the same value is given as follows;
2x - 5 = 8/x + 10
2x² - 15x - 8 = 0
Using an online tool, we have;
(x - 8)(2x + 1) = 0
x = 8 or x = -1/2
∴ g(x) and h(x) = 11 or y = -6
For x = 8, we have;
f(x) = 2^(x - 5) + 3 = 2^(8 - 5) + 3 = 2^3 + 3 = 11
For x = -1/2, we have;
f(x) = 2^(-1/2 - 5) + 3 = 3.022
Therefore, the point where f(x), g(x), and h(x) have the same value is (8, 11), therefore, for x = 8, f(x) = g(x) = h(x) = 11.
Please help, its due today, ill give brainliest
Answer: bro just look it up fr fr
Step-by-step explanation:
PLS HELP I WILL GIVE BRAINLIEST
Answer:
See below for answers
Step-by-step explanation:
12/15=4/5
8/10=4/5
18/27=2/3
6/9=2/3
8/12=2/3
12/18=2/3
9/15=3/5
10/25=2/5
Answer:
4/5, 4/5, 2/3, 2/3, 2/3, 2/3, 3/5, 2/5
Step-by-step explanation:
(c) Given that the average speed for the entire journey was 80 km/h, form an equation in x and solve the equation.
Answer:
80x = y
Step-by-step explanation:
(1 point) find the angle θ between the vectors a=9i−j−5k and b=2i j−8k.
The required answer is the angle between vectors a and b is 44.8 degrees.
To find the angle θ between two vectors a and b, we use the dot product formula:
a · b = |a| |b| cos θ
where |a| and |b| are the magnitudes of vectors a and b, respectively.
First, let's calculate the dot product of a and b:
a · b = (9)(2) + (-1)(0) + (-5)(-8) = 18 + 40 = 58
Variable were explicit numbers solve a range of problems in a single computation. The quadratic formula solves any quadratic equation by substituting the numeric values of the coefficients of that equation for the variables that represent them in the quadratic formula. A variable is either a symbol representing an unspecified term of the theory , or a basic object of the theory that is manipulated ,without referring to its possible intuitive interpretation.
Next, let's calculate the magnitudes of vectors a and b:
|a| = sqrt(9^2 + (-1)^2 + (-5)^2) = sqrt(107)
|b| = sqrt(2^2 + 1^2 + (-8)^2) = sqrt(69)
the angle θ by taking the inverse cosine of the cosine value: θ = (57 / (√107 * √69)
Now we can substitute these values into the dot product formula to solve for θ:
58 = sqrt(107) sqrt(69) cos θ
cos θ = 58 / (sqrt(107) sqrt(69))
θ = cos^-1(58 / (sqrt(107) sqrt(69)))
Now you have the angle θ between the two vectors a and b.
Using a calculator, we find that θ is approximately 44.8 degrees.
Therefore, the angle between vectors a and b is 44.8 degrees.
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Guys I need help on this :(
Answer: it’s going to be 15!
Step-by-step explanation:
what region R in the xy-plane minimizes the value of ! r (x^2 y^2 − 9) dA ?
To minimize our double integral, we want to find the region over which the function we are integrating has negative values
x^2 +y^2 − 9</= 0
Solving the inequality
x^2 +y^2 </= 9
We can verify this solution by graphing. f(x,y) = x^2 +y^2 − 9
Our function is a paraboloid. Only the negative values of f(x, y) are graphed here.
We can see that f(x, y) is negative below the circle in the x-y plane given by the formula x^2 + y^2 <= 9. If we were to include any points outside of this region in our integral, we would add positive values of f(x, y) to our double integral and the integral wouldn't be minimized
therefore, R : x^2 +y^2 </= 9
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The speed of a car traveling on a straight road increases from 63 m/s to 75
m/s in 4.2 seconds. What was the car's acceleration? m/s2 = meters per
second squared
Initial velocity = 63m/s
Final velocity = 75m/s
Time taken = 4.2
We have to find acceleration of car\(.\)
_________________________________
◈ Acceleration is defined as the rate of change of speed.
a = (v - u) / tIt is a vector quantity having both magnitude as well as direction.
SI unit : m/s²
⇒ a = (v - u) / t
⇒ a = (75 - 63) / 4.2
⇒ a = 12/4.2
⇒ a = 2.85 m/s²The speed of a car traveling on a straight road increases from 63 m/s to 75 m/s in 4.2 seconds. What was the car's acceleration?
Answer:\( \rm\red {Given:} \)
u ( initial velocity ) = 63m/sv ( final velocity ) = 75m/st ( time taken ) = 4.2s\( \rm\red {To \: find:} \)
a ( acceleration ) =?\( \rm\red {Calculation:} \)
We know that,
\( {\huge {\boxed {\tt { a = \dfrac{v-u} {t}}}}} \)
Substituting values-
\( \sf { \qquad \leadsto a = \dfrac{75-63}{4.2}} \)
\( \sf { \qquad \leadsto a = \dfrac{12}{4.2}} \)
\( \sf { \qquad \leadsto a = \dfrac{\cancel {12} {} ^{\: \: 6} \times 10}{\cancel {42} {} ^{\: \: 21} }} \)
\( \sf { \qquad \leadsto a = \dfrac{\cancel6 {} ^{\: \: \: 2}\times 10 }{\cancel {21} {} ^{\: \: 7}}} \)
\( \sf { \qquad \leadsto a = \dfrac{2 \times 10}{7}} \)
\( \sf { \qquad \leadsto a = \dfrac{20}{7} = 2.85} \)
\( \therefore \) Acceleration of the car was \( \sf { 2.8m/{s} ^{2}} \)
_________________________________Sonequa has two containers one in the shape of a cylinder and the other in the shape of a cone the two containers of equal radii and equal Heights she investigated the relationship between the volume of the cone and the cylinder by transferring water between the two containers which of the following claims is most likely to be supported using the result of sonequa investigation
Answer:35
Step-by-step explanation:
The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.
The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.
Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.
So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”
Researchers examined the bill color (in hue degree) of male and female zebra finches. Here are the summary statistics from the study. How different are male and female zebra finches in bill color? The margin of error for a 95% confidence interval for the difference in mean bill color μF – μM (in hue degree) is ____. Round your answer to the hundreths decimal place.
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
In the question some iformation is missing, which can be defined as follows:
Given:
The value of males:
\(n_1= 59\\s_1= 1.46\\\bar y_1=2.91\\\)
The value of Females:
\(n_2=60\\s_2= 2.48\\\bar y_2=7.42\\\)
Calculating Degrees of Freedom:
\(\bold{ df=\frac{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}{ \frac{1}{n_1-1} (\frac{s_1^2}{n_1})^2+\frac{1}{n_2-1} (\frac{s_2^2}{n_2})^2}}\\\\\\\)
\(=\frac{(\frac{1.46^2}{59}+\frac{2,48^2}{60})^2}{ \frac{1}{59-1} (\frac{1.46^2}{59})^2+\frac{1}{60-1} (\frac{2.48^2}{60})^2}\\\)
\(=9.58 or 95\)
\(\alpha= 1-0.95\\\\\)
\(= 0.05\)
for 95% confidence interval are:
\(\frac{\alpha}{2} = \frac{0.05}{2} = 0.025\)
From its t-distribution table , the value of t has an region of (\(\frac{\alpha}{2} \ \ 0.025\)) for (df=95) in its upper tail.
shall be given by = t {0.025}=1.985
Calculating the margin of Error:
\(M_OE =t_{0.025} \times \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}\)
\(=1.985\times \sqrt{\frac{1.46^2}{59}+\frac{2.48^2}{60}}\\\\=0.739\)
The difference in mean bill color "\(\mu_2 -\mu_1\)" with 95% confidence intervals:
\(\to (7.42 - 2.91) \pm 0.739\\\\\to 4.51 \pm 0.739\)
Lower limit=3.771
Upper limit = 5.249
please help with drawing this polygon with coordinates!!!
A graph of the triangle with the vertices (-5, 0), (-5, 9), and (0, 9) is shown in the image below.
What is a triangle?In Mathematics and Geometry, a triangle can be defined as a two-dimensional geometric shape that comprises three side lengths, three vertices and three angles only.
Generally speaking, there are five (5) major types of triangle based on the length of their side lengths and angles, and these include the following;
Equilateral triangleScalene triangleIsosceles triangleObtuse triangleRight-angled triangleIn this scenario, we would use an online graphing calculator to plot the given triangle with the vertices (-5, 0), (-5, 9), and (0, 9) as shown in the graph attached below.
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Navel County Choppers, Inc., is experiencing rapid growth. The company expects dividends to grow at 18 percent per year for the next 11 years before leveling off at 4 percent into perpetuity. The required return on the company’s stock is 10 percent. If the dividend per share just paid was $1.94, what is the stock price?
The stock price of Navel County Choppers, Inc. can be determined using the dividend discount model. With expected dividend growth of 18% for the next 11 years and a perpetual growth rate of 4%, and a required return of 10%, we can calculate the stock price.
To calculate the stock price, we need to find the present value of the expected future dividends. The formula for the present value of dividends is:
Stock Price = (Dividend / (Required Return - Growth Rate))
In this case, the dividend just paid is $1.94, the required return is 10%, and the growth rate is 18% for the first 11 years and 4% thereafter. Using these values, we can calculate the stock price.
Stock Price = ($1.94 / (0.10 - 0.18)) + ($1.94 * (1 + 0.04)) / (0.10 - 0.04)
Simplifying the equation, we find the stock price of Navel County Choppers, Inc.
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CAN SOMEONE HELP ASAP! ITS FOR HOMEWORK AND I DONT KNOW HOW TO DO ANYTHING !!!
The missing angles are
A. = 130 degrees
B. = 55 degrees
C. = 145 degrees
D. = 73 degrees
E. = 43 degrees
F. = 23 degrees
G. = 61 degrees
H. = 90 degrees
I. = 50 degrees
J. = 27 degrees
K. = 25 degrees
How to find the valuesAssuming the missing angle in each case is x
A. Angle on a straight line = 180 degree
x + 50 = 180
x = 130 degrees
B. Angle at a point = 360 degrees
209 + 96 + x = 360
x = 360 - 96 - 209
= 55 degrees
C. Angle on a straight line = 180 degree
= 145 degrees
D. Vertical angles are equal, using vertical angle theorem
= 73 degrees
E. vertical angle theorem
= 43 degrees
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Brenna wants to learn more about stingrays. Which of the following is a statistical question Brenna could ask?
A. Do stingrays live in oceans or rivers?
B. Are stingrays an endangered species?
C. What is the heaviest stingray ever recorded?
D. How long does a stingray live?
Answer:d
Step-by-step explanation:because that would come up with the most information from sciencetist and professors
Answer:
Probably B or A
Step-by-step explanation:
Because learning about stingrays asking a question like that can tell you how many are left and how long you have to study them while they are here. and A because you wanna get to know their surroundings and what's better for them in an environment before you actually get to know about the stingrays, studying the environment can give you an idea of what to look for when you are diving in the ocean. Meaning you know exactly what to look for when diving so you can get as much information as you need.
Please help due in 3 min
How much time will it take for the laptop to receive one mtu-size (1500 byte) packet?
The correct answer is it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.
To determine the time it will take for a laptop to receive a packet of MTU size (1500 bytes), we need to consider the data transfer rate or network speed.
Let's assume the network speed is given in bits per second (bps). We'll need to convert the packet size from bytes to bits and then divide it by the network speed to calculate the time.
First, let's convert the packet size from bytes to bits:
Packet size = 1500 bytes
1 byte = 8 bits
1500 bytes * 8 bits/byte = 12000 bits
Now, we need to divide the packet size by the network speed to calculate the time:
Time = Packet size / Network speed
For example, if the network speed is 1 Gbps (1 gigabit per second), the calculation would be:
Time = 12000 bits / (1 Gbps) = 12000 / (10^9) seconds = 0.000012 seconds
Therefore, it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.
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5. Find the measure of arc AC.
Find mAC
A) 52
B) 72
C) 92
D) 112
Answer:
B: 72
Step-by-step explanation:
Here, we want to find the measure of arc AC
Mathematically, we will use an angle arc relationship here
The angle arc relationship to use here is that the arc AC is twice the measure of angle ABC
Thus, we have the arc AC as 2 * 36 = 72 degrees
Edward boxmakers produces carton boxes each has a length of 40 cm a width of 25 cm and the height of 19 cm find the minimum area of paper required to wrap each box
The Minimum Surface area of paper required to wrap each box is 4470 square centimeters.
To determine the minimum area of paper required to wrap each box produced by Edward Boxmakers, we need to find the surface area of the box. The surface area of a rectangular box can be found by adding the areas of all six sides. In this case, the box has three pairs of sides, each with the same area, so we can simplify the formula to:
Surface Area = 2lw + 2lh + 2wh
where l = 40 cm, w = 25 cm, and h = 19 cm
Substituting these values into the formula, we get:
Surface Area = 2(40)(25) + 2(40)(19) + 2(25)(19)
Surface Area = 2000 + 1520 + 950
Surface Area = 4470 cm²
Therefore, the minimum area of paper required to wrap each box is 4470 square centimeters.
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Determine the vertex, direction of opening, range, maximum/minimum value, axis of symmetry, y-intercept, and zeroes, and intervals of increase and decrease.
f(x)=(x-4)^2+2
The vertex is (4, 2) and the other key features are listed below
How to evaluate the function key featuresFrom the question, we have the following parameters that can be used in our computation:
f(x) = (x - 4)² + 2
A quadratic function is represented as
f(x) = a(x - h)² + k
Where
Vertex = (h, k) and axis of symmetry: x = h
So, we have
Vertex = (4, 2) Axis of symmetry: x = 4From the graph, we can see that
The direction of opening is up
And this means that
The function is a minimumRange: y ≥ 2There is no restriction on the input values
So, the domain is the set of all real values
Set x = 0 to determine the y-intercept
y-intercept = (0 - 4)^2+2
y-intercept = 18
To find the zeroes of the function, we set f(x) = 0 and solve for x:
(x - 4)^2 + 2 = 0
(x - 4)^2 = -2
This equation has no real solutions, since the square of a real number is always non-negative.
To determine the intervals of increase and decrease,
We can look at the graph
Where, we have:
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Which equation represents exponential decay?
Write 0.15 as a fraction in simplest
Answer: 3/20 also known as 15% Hope this helps Have a great night
Step-by-step explanation:
Find the midpoint of the line segment joining points A and B. A(4,-7); B(2,3) The midpoint of the line segment is (Type an ordered pair.)
Answer:
Step-by-step explanation:
(Y1 +Y2)/2=-7+3/2 so y=-2
(X1 +X2)/2=4+2/2 so x=3
The midpoint of the line segment joining points A and B is (3, -2).
What is a midpoint of a line segment?The midpoint of a line segment is given as,
x = (a + c)/2
y = (b + d) / 2
Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.
We have,
A = (4, -7) = (a, b)
B = (2, 3) = (c, d)
The midpoint (x, y) of the line AB.
x = (4 + 2) / 2 = 3
y = (-7 + 3) / 2 = -2
Thus
The midpoint is (3, -2).
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calculer la longueur dun cercle de diametre 78mm
Answer:
La circunferencia es 245.044 mm
Three t-shirts for $10. find the unit rate
Answer:
Step-by-step explanation:I don’t know
determine whether the data are qualitative or quantitative.temperatures inside 10 pizza ovens
Answer:
The data are quantitative
(temperature is quantitative
Step-by-step explanation:
Since you can measure the temperature inside pizza ovens and get a quantitative answer i.e get a number and not just 'hot' or 'cold',
The data are quantitative
estimate quotients using compatible numbers lesson 4.5 answer key
4 its the correct answer do it
Step-by-step explanation:
its correct
Which intersection forms an ellipse?
A plane intersects only one nappe of a double-napped cone. The plane is neither perpendicular to the axis nor parallel to the generating line.
A plane intersects only one nappe of a double-napped cone such that the plane is parallel to the generating line.
A plane intersects both nappes of a double-napped cone.
A plane intersects only one nappe of a double-napped cone such that the plane is perpendicular to its axis.