which statement is false?
A. every integer is a real number
B. every real number is a rational number
C. every positive rational number has a square root.
D. every integer is a rational number
Answer:
B because irrational numbers are are.real.# but not irrational
PLEASE HELP ME!!!!
A toy American Eskimo dog has a mean weight of 8 pounds with a standard deviation of 1 pound. Assuming the weights of toy Eskimo dogs are normally distributed, what range of weights would 95% of the dogs have?
a. Approximately 7–9 pounds
b. Approximately 6–10 pounds
c. Approximately 5–11 pounds
d.Approximately 4–12 pounds
Answer:
Step-by-step explanation:
A cuz if we do 7-9=1 and he has one pound of each
Type the correct answer in each box, If necessary, use / for the fraction bar(s).
1
-1
The point on the number line shows the opposite of
or the opposite of the opposite of
Reset
Next
Answer: -1/1
Step-by-step explanation: The fraction, -1/1 or just -1, passes through the transactional point through the slope of the line, y=3x+5.
Find the average value of the following function: p(x)=3x^2 +4x+2 on the interval 1≤x≤7
We need to perform the following steps:
1. Start with the function p(x) = 3x^2 + 4x + 2.
2. Use the average value formula:
Average value = (1/(b-a)) * ∫(a to b) p(x)
In this case, a = 1 and b = 7 because the interval is 1 ≤ x ≤ 7.
3. Integrate the function p(x) with respect to x over the interval (1 to 7):
∫(1 to 7) p(x) dx = ∫(1 to 7) (3x^2 + 4x + 2) dx
4. Calculate the integral:
∫(1 to 7) (3x^2 + 4x + 2) dx = [x^3 + 2x^2 + 2x] evaluated from 1 to 7
Substitute 7 into the function: (7^3 + 2(7^2) + 2(7)) - Substitute 1 into the function: (1^3 + 2(1^2) + 2(1))
5. Simplify the expression:
(343 + 2(49) + 2(7)) - (1 + 2 + 2) = 343 + 98 + 14 - 1 - 2 - 2 = 45
6. Now, calculate the average value:
Average value = (1/(7-1)) * 450 = (1/6) * 450 = 75.
Therefore, the average value of the function p(x) = 3x^2 + 4x + 2 on the interval 1 ≤ x ≤ 7 is 75.
To know more about average value :
https://brainly.in/question/5261263
#SPJ11
In a recent poll, 46% of respondents claimed they would vote for the incumbent governor. Assuming this is the true proportion of voters that would vote for the incumbent, let X be the number of people out of 50 that would vote for the incumbent. What is the standard deviation of the sampling distribution of X and what does it mean
The standard deviation is 0.0692 and it means that on average, the sample statistic (X-bar) differs from the true population mean (mu) is 0.0692.
Given, In a recent poll, 46% of respondents claimed they would vote for the incumbent governor.
Assuming this is the true proportion of voters that would vote for the incumbent.
Let X be the number of people out of 50 that would vote for the incumbent.
We know that the standard deviation of the sampling distribution of X is:
σ = sqrt [p (1 - p) / n]
Where: p = proportion of success in the population,
n = size of the sample
σ = sqrt [0.46(1 - 0.46) / 50]
σ = sqrt [0.24 / 50]σ = sqrt [0.0048]
σ = 0.0692
Standard deviation of the sampling distribution of X is 0.0692.
It means that on average, the sample statistic (X-bar) differs from the true population mean (mu) is 0.0692.
Learn more about standard deviation here:
https://brainly.com/question/13498201
#SPJ11
A plane intersects a prism to form a cross section that is a polygon with five sides. The minimum number of sides that the polygon at the base of the prism must have is?
Answer:
the base must have a minimum of 3 sides
Step-by-step explanation:
Answer:
It's 3
Step-by-step explanation:
333333333333333333333333333333333333333333333333333333333333333333333333333333
Find the distance between the points (4, - 7) and (4,3).
Answer:
The distance between the two points is 10.
Step-by-step explanation:
explain find the mean in the data set 14,13,19,22,7,
Answer:
Step-by-step explanation:
To find the mean of a set of numbers you have to start by finding the sum of all the numbers. In this case the sum is 75. After you find the sum of the numbers count how many numbers are in the data set. Now divide the sum by the amount of numbers you counted. We have 5 numbers so when we divide 75 by 5 your answer is 15. Hope that helps!
f(x) =1/3x how do you graph it
Answer:
draw a straight line with a ruler through the points (0,0) and (3,1)
Step-by-step explanation:
since your equation is linear, you need to use a ruler to graph, put in 0 and 3 to get 0 and 1, respectively, and draw a line through the two points on a graph
How are the absolute value of an imaginary number, the magnitude of a force, and the distance between two points related to one another?
Step-by-step explanation:
these are positive real numbers representing a size, which can only be positive.
direction is irrelevant.
the absolute value of an imaginary number is the distance of that number from the origin on the imaginary number plane. it does not matter in what direction.
the magnitude of a force is just the power involved, it does not say what direction.
the distance between 2 points - that is the same case as with the absolute value of the imaginary number. a distance is always positive independently of the direction.
What is the undefined term of Ray?
The undefined term of the ray is line.
What is an undefined term?Undefined terms are those that are difficult to define. There isn't exactly a definition for such phrases. Think about the word "the." Although we frequently use the term "the," do we actually understand what it means? Another word that is difficult to define is "am." Although we can explain these phrases, we are unable to offer a definition. There are certain words in geometry that are more difficult to define.
A ray is a line that terminates at a single point in geometry and continues endlessly in the opposite direction.
We can understand why a ray is a defined concept since we can describe it using the geometric terms "line" and "point."
Ray: A ray is similar to a line, except that the line extends in just one direction to infinity, with a line segment on the opposite side.
The endpoint of a line is its terminus.
Two rays that originate at the same endpoint and move in opposition to one another are said to be opposing rays.
Therefore, arrow sided line is undefined in terms of ray.
To learn more about the undefined terms;
https://brainly.com/question/10969140
#SPJ1
Suppose elementary students are asked their favorite color, and these are the results: - 24 % chose blue - 17 % chose red - 16 % chose yellow What percentage chose something other
43% of elementary students chose something other than blue, red, or yellow as their favorite color.
The percentage of elementary students who chose something other than blue, red, or yellow as their favorite color can be found by subtracting the sum of the percentages of those three colors from 100%.Blue: 24%
Red: 17%
Yellow: 16%
Total: 24% + 17% + 16% = 57%
Percentage chose something other:
100% - 57% = 43%.
Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.
#SPJ11
learn more about "percentages"https://brainly.com/question/24877689
what is the value of 3cubed
Answer:
27
Step-by-step explanation:
\(3^{3}\) is basically just multiplying the number 3, three times. So 3x3x3. 3x3 is 9, and when you multiply 3 more, it is 27.
Answer:
Step-by-step explanation: 3, because when 3 is cubed you get 27.
Write the equation of the line passing through the points (-2,9) and (-9,2)
Answer:
Step-by-step explanation:
A vertical line has undefined slope, but will always have an x-intercept. In this case, since the line goes through the point (-2,-9) we know that x will always equal -2. So therefore the equation of this vertical line will be x=-2.
A. Use models to illustrate the given proportion. Do it on your answer sheet. 1) 8:6 = 4:3 2) 15:3 = 5:1 3) 12:6 = 4:2 4) 11: 7 and 44:27 5) 25 eggs to 3 hens and 75 eggs to 9 hens
pls answer it correctly
Using models to to illustrate the proportions is similar to reducing or increasing a ratio by a common factor. The solutions to the exercise are given below :
1.)
8 : 6
Reducing each side of the ratio by an half(1/2) :
8 × ½ : 6 × ½
4 : 3
2.)
15 : 3
Reducing each side of the ratio by ⅓:
15 × ⅓ : 3 × ⅓
5 : 1
3.)
12 : 6
Reducing each side of the ratio by (one-third) ⅓:
12 × ⅓ : 6 × ⅓
4 : 2
4.)
11 : 7
Increasing the proportion by 4 :
11 × 4 : 7 × 4
44 : 28
5.)
25 eggs : 3 hens
Increasing the number of hens by 3, then egg production will also triple
25 eggs × 3 : 3 hens × 3
75 eggs to 9 hens
Learn more : https://brainly.com/question/25641959
9-x^2 y = Given x = 4
Answer:
9-16y
Step-by-step explanation:
9-x^2y when x=4
plus in 4: 9- (4)^2y
=9-16y
test the series for convergence or divergence. [infinity] ∑ e^n / n^2 n=1
The series ∑ e^n / n^2, where n starts from 1 and goes to infinity, diverges. This means that the series does not have a finite sum and keeps growing indefinitely.
To determine the convergence or divergence of the series ∑ e^n / n^2, we can use various tests. One commonly used test is the comparison test.
When we compare the given series to a known series, such as the harmonic series or geometric series, we can see that the terms of the given series do not decrease or approach zero as n increases. In fact, the exponential term e^n grows exponentially, and the denominator n^2 increases at a much slower rate.
As a result, the terms of the series do not tend to zero, and we can conclude that the series diverges. In other words, the sum of the series goes to infinity as n approaches infinity. This indicates that the series does not have a finite sum and keeps growing indefinitely.
Therefore, the series ∑ e^n / n^2 diverges.
Learn more about harmonic series here:
https://brainly.com/question/32256890
#SPJ11
A line passes through the point ( -10, 4) and has a slope of 1/2
Write an equation in point slope form for this line,
Answer:
\(y-4=\frac{1}{2} (x+10)\)
Step-by-step explanation:
Point-slope form: \(y-y_1=m(x-x_1)\) when the given point is \((x_1,y_1)\) and the slope is \(m\)
\(y-y_1=m(x-x_1)\)
Plug in the point (-10,4)
\(y-4=m(x-(-10))\)
Two negatives make a positive
\(y-4=m(x+10)\)
Plug in the slope
\(y-4=\frac{1}{2} (x+10)\)
I hope this helps!
Could someone explain this problem to me?
Answer: -19,21
Step-by-step explanation:
\(f(x)=-4x-7\\f(3)=-4*3-7\\f(3)=-12-7\\f(3)=-19\\And,\\f(-7)=-4*(-7)-7\\f(-7)=28-7\\f(-7)=21\)
-1 = -3(3r - 8) - 7. what does r equal?
Answer:
R=2
Step-by-step explanation:
What resistance R must be connected in series with a 200-mH inductor and a capacitor of the resulting RLC oscillating circuit is to decay to of its initial value of charge in 50 cycles
In order for the RLC oscillating circuit to decay to 1/10th of its initial value of charge in 50 cycles, a certain resistance (R) needs to be connected in series with a 200-mH inductor and a capacitor.
To determine the required resistance (R), we need to consider the decay of the RLC oscillating circuit over 50 cycles. The decay of the charge in the circuit is influenced by the combination of the inductor, capacitor, and the resistance. The resistance plays a crucial role in damping the oscillations and controlling the decay rate.
To calculate the required resistance, we would need more information such as the initial charge value, the frequency of the oscillations, or the specific values of the inductor and capacitor. Without these details, it is not possible to provide a specific value for the resistance (R) in this scenario. The resistance value will depend on the desired decay rate and the specific characteristics of the circuit components.
Learn more about RLC oscillating circuit here:
https://brainly.com/question/14582661
#SPJ11
what is the result of 2.130 x 10³ - 6.6 x 10² =
Answer:
The answer you're looking for is 1470.
Step-by-step explanation:
The method I used was PEMDAS
Since there was no parenthesis, I simplified the exponents.
2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?
After that, I multiplied all terms next to each other.
2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?
The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.
1470 = ?
I hope this was helpful!
The conjugate of (2+i)²/3+i, in the form of a+ib, is
13/2 + i(25/2)
13/10 + i(-15/2)
13/10 +(-9/10)
13/10+(9/10)
Given that
(2+i)²/(3+i)
On multiplying both numerator and the denominator with (3-i) then
⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]
⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]
⇛ [(2+i)²(3-i)]/[(3²-i²)
⇛ [(2+i)²(3-i)]/(9-i²)
⇛ [(2+i)²(3-i)]/[9-(-1)]
Since ,i² = -1
⇛ [(2+i)²(3-i)]/(9+1)
⇛ [(2+i)²(3-i)]/10
⇛ [{2²+i²+2(2)(i)}(3-i)]/10
⇛ (4+i²+4i)(3-i)/10
⇛ (4-1+4i)(3-i)/10
⇛ (3+4i)(3-i)/10
⇛ (9-3i+12i-4i²)/10
⇛ (9+9i-4(-1))/10
Since, i² = -1
⇛(9+9i+4)/10
⇛(13+9i)/10
⇛ (13/10)+ i (9/10)
We know that
The conjugate of a+ib is a-ib
So,
The conjugate of (13/10)+ i (9/10) is
(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)
Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)
Additional comment:
The conjugate of a+ib is a-ib and i = -1(a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².What is the complement of Q in P?
The complement of set Q {-4, -3, -2} if the universal set is P {-5, -4, -3, -2, -1} is defined by:
¬Q = {-5, -1}
What is the complement of Q in P?If we have a set A defined in an universal set U, we define the complement of A as all the elements of U that are not elements of A.
In this case we have the sets:
P = {-5, -4, -3, -2, -1}
Q = {-4, -3, -2}
Here we want to find the complement of Q in P, so P is the universal set for this problem.
The elements of P that are not elements of Q are:
{-5, -1}
So that is the complement that we are looking for.
Learn more about complements of sets at:
https://brainly.com/question/24341632
#SPJ1
Select all possible cross-sections of a sphere
Circle: a cross-section that goes through the center of the sphere and creates a circular shape.
Point: a cross-section that goes through the center of the sphere and creates a single point.
DeShawn has 120 feet of fencing for the pens. He likes his design because putting the two penstogether not only lets the pups safely play with each other, but also uses less fencing than if hemade both pens separate. Brilliant!
The optimal lenght of x and y are:
x = 30ft
y = 30ft
To solve this, we want to know the best lenght of x and y to get the maximum area.
Then, we know the perimeter of the pens: 120ft
The perimeter is the sum of all the sides:
\(P=2x+2y\)Sinnce we have 2 sides of lenght x and 2 sides of length y
Also, we know how the area is calculated. Base times height:
\(A=x\cdot y\)Now, we know the perimeter he has is 120ft. Then, we can replace P = 120ft and solve for y:
\(\begin{gathered} P=120ft \\ 120ft=2x+2y \\ y=\frac{120ft-2x}{2} \\ y=60ft-x \end{gathered}\)Now we can replace y in the area equation:
\(\begin{gathered} \begin{cases}A=xy \\ y=60ft-x\end{cases} \\ A=x(60ft-x) \\ A=60ft\cdot x-x^2 \end{gathered}\)Here we have a function of the area respect x.
Then, we want to find the maximum area possible. We know that the zeroes of the derivative of a function is where we can find maximums and minimums.
Then let's derivate the function of the area:
\(\begin{gathered} A(x)=60ft\cdot x-x^2 \\ A^{\prime}(x)=60ft-2x \end{gathered}\)Now let's find the zero of the derivative:
\(\begin{gathered} 0=60ft-2x \\ x=\frac{-60ft}{-2x} \\ x=30ft \end{gathered}\)This is the value of x that maximizes the area with a perimeter of 120ft.
Now let's find the value of y:
\(\begin{gathered} \begin{cases}x=30ft \\ y=60ft-x\end{cases} \\ y=60ft-30ft \\ y=30ft \end{gathered}\)Then the maximum area is with a lenght of y = 30ft and x = 30ft.
This also tell us that the shape that maximizes the area of a 4 sided shape with a certain perimeter is a square.
A net of a rectangular pyramid is shown.
A net of a rectangular pyramid with a base with dimensions of 13 inches by 17 inches. The two larger triangular faces have a height of 11 inches. The smaller triangular face has a height of 12.3 inches.
What is the surface area of the pyramid?
567.9 in2
457.4 in2
346.9 in2
283.95 in2
The surface area of the rectangular pyramid is approximately 567.9 in².
What is rectangular pyramid?
A rectangular pyramid is a type of pyramid that has a rectangular base and four triangular faces that meet at a common vertex. The rectangular base of a rectangular pyramid can be any rectangle, meaning that the length and width can be different. The four triangular faces of a rectangular pyramid are congruent, which means they are the same size and shape. The height of the rectangular pyramid is the distance between the vertex and the center of the base. The surface area of a rectangular pyramid can be calculated by finding the area of each face and adding them together.
To find the surface area of the rectangular pyramid, we need to find the area of each face and add them together.
First, let's find the area of the rectangular base:
Area of base = length x width = 13 in x 17 in = 221 in²
Next, let's find the area of the larger triangular faces:
Area of each larger triangular face = (1/2) x base x height = (1/2) x 17 in x 11 in = 93.5 in²
Total area of both larger triangular faces = 2 x 93.5 in² = 187 in²
Finally, let's find the area of the smaller triangular face:
Area of smaller triangular face = (1/2) x base x height = (1/2) x 13 in x 12.3 in = 79.95 in²
Now, we can find the total surface area of the rectangular pyramid by adding the areas of all the faces:
Total surface area = area of base + area of both larger triangular faces + area of smaller triangular face
Total surface area = 221 in² + 187 in² + 79.95 in²
Total surface area = 488.95 in²
Therefore, the surface area of the rectangular pyramid is approximately 567.9 in².
To know more about rectangular pyramid visit:
https://brainly.com/question/27270944
#SPJ1
Exponential Logarithmic Equations
7^3x+5=7^x+1
The Exponential Logarithmic Equations 7^3x+5=7^x+1 is : -2.
What is Exponential Logarithmic Equations?Let make use of the property of exponential functions to find the exponential equation 7(3x+5) = 7(x+1).
First step is for us to equalize the exponents:
3x + 5 = x + 1
Simplify
2x = -4
Divide both side by 2x
x = -4/2
x = -2
Therefore the Exponential to the given equation is-2.
Learn more about Exponential Logarithmic Equations here:https://brainly.com/question/28595962
#SPJ1
Given that R = 9 x + 8 y Find x when y = 8 and R = 4
Answer:
-20/3 = x
Step-by-step explanation:
Substitute the values that you were given in for the variables:
4 = 9x + 8(8)
4 = 9x + 64 - Subtract 64 from both sides
-60 = 9x - Divide both sides by 9 to get x by itself
-60/9 = x - Simplify
-20/3 = x
Select all the solutions to the quadratic equation x2-4x-12=0
Answer:
x1= -2
x2= 6
Step-by-step explanation:
x^2-4x-12=0
x^2+2x-6x-12=0
x(x+2)-6(x+2)
(x+2)*(x-6)
one solution
x+2=0
x=-2
other solution
x-6=0
x=6