Answer:
11 feet
Step-by-step explanation:
The area of a square is simply the side of the square squared. This can be written as an equation as follows:
A = l^2
where A is the area of the square and l is the length of a side of the square.
Using this, we can find the length of the side.
121 = l^2
sqrt(121) = sqrt (l^2)
11 = l
Hence, the side length of the square is 11 feet.
Cheers.
Answer:
11
Step-by-step explanation:
[tex]Area = s^2[/tex]
s = side
[tex]A =121\\121 = s^2\\Square\:root\:both\:sides\:of\:the\:equation\\\sqrt{121}=\sqrt{x^2} \\\\11 =x\\x=11[/tex]
When given a graph, the vertical line test can be used to determine functionality. Describe the vertical line test and explain the reasons why a graph would, or would not, represent a function.
Answer:
Step-by-step explanation:
You are given a graph and wish to determine whether or not it represents a function. Draw a vertical line through this graph and count the number of times the vertical line intersects the graph.
If exactly once, the graph passes the vertical line test and we say the graph represents a function.
If more than once, the graph fails the test and does not represent a function.
This is because a function assigns one and only one y value to any input value x in the domain.
Answer:
Step-by-step explanation:
vertical line test: a test that uses any kind of straight stuff (i.e line, pen, etc.) to go over the graph and check whether or not there are two points on one vertical line.
In a function, one domain (x value) can only have one range (y value).
NOTE: one range can have multiple domains
This means through vertical line test, if there are two points on one vertical line, it will not be a function.
solve this question 2√8+√8
A. 3√8
B.24
C.16√8
D.2√8
Answer:
Simplify each radical, then combine.
3√8
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
6 √ 2 = 3√8
The distance from home plate to the fence in dead center at the Oak Lawn Little League field is 280 feet. How far is it from the fence in dead center to third base? [Hint: The distance between the bases in Little League is 60 feet.]
Answer:
241.3 feet
Step-by-step explanation:
From the above question, we solve for this using the law of cosines
Law of cosines
a² = b² + c² -2bc Cos A
a = √b² + c² -2bc Cos A
a = The distance between the bases in Little League = 60 feet
b = ???
c = The distance from home plate to the fence in dead center at the Oak Lawn Little League field = 280 feet
A = It makes an angle of 45°
This is because the distance 60 feet and 280 feet are perpendicular to each other and they meet at a point that divides a right angle 90° into equal parts.
a = √280² + 60² - 2 × 280 × 60 × Cos 45
a = 241.33216 feet
Approximately = 241.3 feet
How far is it from the fence in dead center to third base? 241.3 feet
(2x2 - 3x + 7) - (-3x2 + 4x - 7)
what is the combine terms
Answer:
-7x+24
Step-by-step explanation:
(2*2-3x+7) - (-3*2+4x-7)
11-3x+13-4x
-7x+24
Answer:
-7x +24
Step-by-step explanation:
2*2-3x+7) - (-3*2+4x-7)
11-3x+13-4x
-7x+24
Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=200, 95% confidence
Answer:
0.3581<x<0.4429
Step-by-step explanation:
Using the formula for calculating the confidence interval of the population proportion p expressed as:
Confidence interval = p ± Z * √p(1-p)/n
p is the population proportion = x/n
p = 200/500
p = 0.4
Z is the z-score at 95% CI = 1.96
n is the sample size = 500
Substituting the given parameters into the formula we will have;
Confidence interval = 0.4 ± 1.96 * √p(1-p)/n
Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500
Confidence interval = 0.4 ± 1.96 * √0.24/500
Confidence interval = 0.4 ± 1.96 * √0.00048
Confidence interval = 0.4 ± 1.96 * 0.0219
Confidence interval = 0.4±0.04294
Confidence interval = (0.3571, 0.4429)
Hence the confidence interval of the population mean is 0.3581<x<0.4429
graph the piecewise function
show how you got the function
(4). If we break down this piecewise function, we have 3 main expressions to deal with, 'h(x) = 5 if {x ≥ 4}' (represented by the green graph) 'h(x) = x if {0 ≤ x ≤ 4}' (represented by the blue graph) and 'h(x) = 1 / 2x + 2 if {x < 0}' (represented by the red graph).
Take a look at the attachment below for your graph of these 3 functions / expressions.
(5). For this part we want to determine the average rate of change of the function f(x) = 4x² - 5x - 8 over the interval [- 2,3]. Remember that to calculate average rate of change between the 2 points we use the following formula...
f(b) - f(a) / b - a,
f(3) = 4(3)² - 5(3) - 8 = 4(9) - 15 - 8 = 36 - 15 - 8 = 13,
f(- 2) = 4(- 2)² - 5(- 2) - 8 = 4(4) + 10 - 8 = 16 + 10 - 8 = 18
13 - 18 / 3 - (- 2) = - 5 / 5 = - 1
Therefore the average rate of change of the function f(x) = 4x² - 5x - 8 over the interval [- 2,3] will be - 1.
. In double integration , we keep one variable say x fixed and _______ a. Reliable the order variable y b. Varying the order variable y
Answer:
A double integral can be written as:
[tex]\int\limits {f(x, y)} \, dx dy[/tex]
Now, to do this integral, we first can fix one of the variables, like in this case, we can fix x.
Now, with x fixed, this will be a function of only one variable, y, then we can do the integration over y.
Once the function is integrated over y, we can now do the integration over x.
Then the correct option will be:
" Varying the order variable y"
We keep x fixed, and integrate over the other variable.
5-(n-4)= 3 (n + 2)
what does n equal
Answer:
The value of n in this equation is -3/4
Step-by-step explanation:
5 - (n - 4) = 3 (n + 2)
Distribute the negative to (n - 4) and distribute 3 to (n + 2).
5 - n + 4 = 3n + 6
Add 4 to -5.
9 - n = 3n + 6
Subtract 9 from 6.
-n = 3n - 3
Subtract 3n from n.
4n = -3
Divide 4 by -3.
n = -3/4
In general, what can you conclude about a pair of angles that are both congruent and supplementary?
Answer:
Both angles are right angles.
Step-by-step explanation:
Supplementary angles sum to 180°. Since we know that both angles are congruent, let's call them x and x. We can write the following equation:
x + x = 180
2x = 180
x = 90°
Therefore, we can conclude that both angles are right angles.
Answer:
Angles that are both congruent and supplementary each have a measurement that is equal to 90°.
Step-by-step explanation:
Suppose that the height s of a ball (in feet) at time t (in seconds) is given by the formula s(t) = 64 - 16(t - 1)^2. This function is graphed below on the interval 0 ≤ t ≤ 3. Which labeled point (A-G) corresponds to the release of the ball? How high (in feet) was the ball when it was released? Which labeled point corresponds to the highest point of the ball? When (in seconds after being released) did the ball reach its highest point? Which labeled point corresponds to the ball hitting the ground? How long (in seconds) after being released did the ball hit the ground?
Answer:
Kindly check explanation
Step-by-step explanation:
Suppose that the height s of a ball (in feet) at time t (in seconds) is given by the formula
s(t) = 64 - 16(t - 1)^2
t interval = 0 ≤ t ≤ 3
1) point A (from the graph)
11) Height of ball when it was released
Ball was released at t = 0
s(0) = 64 - 16(0 - 1)^2
= 64 - 16(-1)^2
= 64 - 16(1)
= 64 - 16
= 48 feets
111) point C ( from the graph)
IV) highest point of the ball is 64
Hence,
s(t) = 64 - 16(t - 1)^2
64= 64 - 16(t - 1)^2
16(t - 1)^2 = 64 - 64
16(t - 1)^2 = 0
16t^2 - 32t + 16 = 0
t^2 - 2t + 1 = 0
(t-1) = 0 (t-1) = 0
t = 1
V) Point G (from graph)
V1)
height = 0
s(t) = 64 - 16(t - 1)^2
0 = 64 - 16(t - 1)^2
16(t - 1)^2 = 64
(t - 1)^2 = 64/16
(t - 1)^2 = 4
(t - 1)² = 2²
t - 1 = 2
t = 2 + 1
t = 3
The weight of tigers follow a normal distribution with a mean of 220 kg and a SD of 30 kg. 1) If we randomly select a tiger, what is the probability that his weights is less than 258 kg
Answer:
0.89736
Step-by-step explanation:
We solve this question using z score formula
Z score = x - μ/σ
x = raw score
μ = population mean
σ = population standard deviation
Hence,
x = 258, μ = 220, σ = 30
Z = 258 - 220/30
=1.26667
Probability value from Z-Table:
P(x<258) = 0.89736
Therefore, the probability that his weights is less than 258 kg is 0.89736
What is 5.264 x 2.3? Please show work on how you got the answer
[tex]5.264 \times 2.3[/tex]
Answer:
12.1072
Step-by-step explanation:
5.264
x take 3 multiply with 5264 = 15792
2.3 then take 2 multiply with 5264 = 10528
15792 add column by column as drop 2 down, then 9 + 8
10528 then 7+2, 5+5, 1+0, 1. then count how many numbers total
121072 behind the point .264= 3 numbers + .3 is 1 number= 4#s
then count backward the result 4 numbers 2701 put the
dot there you will get 12.1072
PLEASE HELP IMMEDIATELY!!!
5x + 11 = 4x + 18 and describe the steps!!!
Answer:
x = 7
Step-by-step explanation:
First, put the x values on one side by subtracting 4x from each side:
5x + 11 = 4x + 18
x + 11 = 18
Subtract 11 from both sides to solve for x:
x = 7
Answer: The value of x is 7.
Step-by-step explanation:
Here's how I got my answer:
5x + 11 = 4x + 18
Isolate variables and combine like terms:
5x - 4x = 18 - 11
Simplify:
x = 7
That is the final answer.
g In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if Z STAT
Answer:
The P-value is 0.0166.
Step-by-step explanation:
The complete question is: In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if ZSTAT = -2.13.
We are given that the z-statistics value is -2.13 and we have to find the p-value.
Now, the p-value of the test statistics is given by the following condition;
P-value = P(Z < -2.13) = 1 - P(Z [tex]\leq[/tex] 2.13)
= 1 - 0.9834 = 0.0166
Assuming that the level of significance is 0.10 or 10%.
The decision rule for rejecting the null hypothesis based on p-value is given by;
If the P-value of the test statistics is less than the level of significance, then we have sufficient evidence to reject the null hypothesis.If the P-value of the test statistics is more than the level of significance, then we have insufficient evidence to reject the null hypothesis.Here, the P-value is more than the level of significance as 0.0166 > 0.10, so we have insufficient evidence to reject the null hypothesis, so we fail to reject the null hypothesis.
The height of a building, measured in feet, is an example of:_______.
a. qualitative data
b. either qualitative or quantitative data
c. feet data
d. quantitative data
Answer:
Option d (quantitative data) is the correct choice.
Step-by-step explanation:
Quantitative data seems to be a collection or kind of data which is concerned regarding quantitative information or methods. That indicates its value, as well as the condition, could be represented arithmetically. All evidence that can be quantified, checked, and suitable for statistical analysis categorizes as quantitative methods.The remaining three options do not apply to the specified scenario. Therefore the description made will serve as an example of quantitative data.
write the equation of the line that passes through (2,-4) and (-1,-1)
Answer:
y = - x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (- 1, - 1)
m = [tex]\frac{-1+4}{-1-2}[/tex] = [tex]\frac{3}{-3}[/tex] = - 1 , thus
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, - 1 ), then
- 1 = 1 + c ⇒ c = - 1 - 1 = - 2
y = - x - 2 ← equation of line
Parabola,,Could you help me please??
Answer:
[tex]\large \boxed{\sf \bf \sqrt{\dfrac{10}{3}}}[/tex]
Dimension of the rectangle is
[tex]2\times\sqrt{\dfrac{10}{3}}\\ \\10-\dfrac{10}{3}=\dfrac{20}{3}[/tex]
Step-by-step explanation:
Hello,
[tex]\text{The area is }2x(1-x^2) \\ \\\text{The derivative is }2(10-x^2)+2x(-2x)=2(10-3x^2)\\\\\text{The derivative is }0\text{ for} 10-3x^2=0 \\\text{so for } x=\sqrt{\dfrac{10}{3}}[/tex]
Thanks
An experimenter wants to estimate the average water consumption per family in a city. Discuss the relative merits of choosing individual families, dwelling units (single-family houses, apartment buildings, and so on), and city blocks as sampling units. What would you use as a frame in each case?
Answer:
Solution: an Experimenter whats to estimate the average water consumption per family in the city
if individual families are used as the sampling united, a frame could be using censes data or atelephone book
if dwelling are used as the sampli units, aframe could be using Address book or city directory
If city blocks are used as the sampling units, aframe could been using is city directory
Step-by-step explanation:
helloo! please quick help with this it’s super simple
Answer:
1
Step-by-step explanation:
[tex] \bigg(3 {w}^{4} {z}^{3} m \bigg) ^{0} \\ = {3}^{0} \times {w}^{4 \times 0} \times {z}^{3 \times 0} \times {m}^{0} \\ = {3}^{0} \times {w}^{0} \times {z}^{0} \times {m}^{0} \\ = 1 \times 1 \times 1 \times 1.. ( \because {a}^{0 } = 1) \\ = 1 \\ \therefore \: \bigg(3 {w}^{4} {z}^{3} m \bigg) ^{0} = 1[/tex]
Answer:
1
Step-by-step explanation:
whenever we have 0 in the exponent the term becomes equal to 1
(3w^4z^3m)^0
multiplying 0 with all terms inside the bracket
3^0 × w^4×0 × z^3×0 × m^1×0
solving the powers
3^0 × w^0 × z^0 × m^0
since we have 0 in the exponent so all the terms will become 1
1 × 1 × 1 × 1 = 1
Help what is the answer help plz
Answer:
2
Step-by-step explanation:
-r^2+5ry+4y^2
= -(-2)^2+5(-2)(3)+4(3)^2
= -(4)+5(-6)+4(9)
= -4-30+36
= 36-30-4
= 36-34
= 2
What equation do you obtain when you solve the formula A = 1/2bh for h?ASAP PLEASE
Answer:
2Ab=h
Step-by-step explanation:
A=1/2bh
2A=bh
2Ab=h
what does (-3)+9/8 equal i cant get it im kinda stupid lol
Answer:
-15/8 or -1 7/8, 1.875
Step-by-step explanation:
Look at the sets below.
{1, 2, 3, 4, 5} {2, 4, 6, 8, 10}
Which of the following shows the union of the sets?
A.
{1, 2, 3, 4, 5}
B.
{2, 4, 6, 8, 10}
C.
{2, 4}
D.
{1, 2, 3, 4, 5, 6, 8, 10}
Answer:
[tex] \boxed{\bold{\boxed{ \sf{1 \: , \: 2 \: , \: 3\: ,4 \: , \: 5 \: , \: 6 \: , \: 8 \: , \: 10 \: }}}}[/tex]
Option D is the correct option
Step-by-step explanation:
Let the sets be A and B.
A = { 1 , 2 , 3 , 4 , 5 }
B = { 2 , 4 , 6 , 8 , 10 }
Finding A union B ( A ∪ B )
The union of sets A and B is the set of all elements which belongs either A or B or both A and B
So, list them :
A ∪ B = { 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 }
Hope I helped!
Best regards! :D
Find the equation of a line containing the points (3,1) and (2,5). Write the equation
in slope-intercept form
Answer:
[tex]y=-4x+13[/tex]
Step-by-step explanation:
We are given the two points (3, 1) and (2, 5) and we want to find the equation of the line containing the given points.
First, find the slope of the line:
[tex]\displaystyle \begin{aligned} m &= \frac{\Delta y}{\Delta x} \\ \\ &= \frac{(5)-(1)}{(2)-(3)} \\ \\ &= \frac{4}{-1} \\ \\ &= -4 \end{aligned}[/tex]
Hence, the slope of the line is -4.
Since we know the slope and a point, we can consider using the point-slope form, given by:
[tex]y-y_1=m(x-x_1)[/tex]
Let's use (3, 1) as the chosen point, and we will substitute -4 for the slope m. This yields:
[tex]\displaystyle y-(1)=-4(x-(3))[/tex]
To convert into slope-intercept form, solve for y:
[tex]\displaystyle \begin{aligned} y - 1 &= -4 (x - 3) \\ y - 1 &= -4x + 12 \\ y &= -4x + 13 \end{aligned}[/tex]
In conclusion, the equation of the line is:
[tex]y=-4x+13[/tex]
Answer:
Step-by-step explanation:
Y=-4x+13
Could anyone answer this?
Answer:
4.472135955
Step-by-step explanation:
solve for x : 8 (2-x) +3x= -4
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]8(2-x)+3x=-4[/tex]
Distribute the first term:
[tex]16-8x+3x=-14[/tex]
Combine like terms:
[tex]16-5x=-4[/tex]
Subtract 16 from both sides:
[tex]-5x=-20[/tex]
Divide both sides by -5:
[tex]x=4[/tex]
So, the value of x is 4 :)
Which row of table reveals the x-intercept
The row of table reveals the x-intercept could be second ( -4, 0).
What is x-intercept of a function?The x-intercept of a function of variable x ( y = f(x) ) form is an intersection fo the x-axis and the curve of the function.
The x-intercept for a function y = f(x) is a solution to the equation f(x) = 0 because at that value of x, the function f(x) lies on x-axis where y is 0.
Values of x-intercept for a function f(x) are also called roots or solution of f(x) = 0 equation.
We have to find Which row of table reveals the x-intercept.
Thus, We can conclude that the second row shows the unit rate.
Hence, the row of table reveals the x-intercept could be second ( -4, 0).
Learn more about x-intercept here:
https://brainly.com/question/14764115
#SPJ5
Calculate the average rate of change for the given function, from x = -1 to x = 2.
Answer:
it moved 3 spots
Step-by-step explanation:
The hypotenuse of one side of a right angled triangle are 5cm and 4cm respectively. what is the length of the other side
Answer:
Hypotenuse is the longest side in a triangle.
a^2=b^2+c^2.
5^2=4^2+c^2.
c^2=25-16.
c^2=9.
c=√9.
c=3cm.
Nya covers a rectangular tray with 1-square-inch tiles. She uses 42 tiles, arranged in 7 rows. How many tiles are in each row?
Answer:
6
Step-by-step explanation:
Since you're familiar with your multiplication tables, you know that ...
42 = 6 × 7
There are 6 tiles in each of the 7 rows.