Answer:
3
Step-by-step explanation:
Add up the exponents of the variables
5xyz = 1+1+1 = 3
The degree is 3
Answer:
First, just to recap, a degree of a polynomial is the highest power that it is raised to.
For example, 2x^4 + 3x - 7, is a 4th degree polynomial.
5xyz is a has a degree of 3, since the highest power that it is raised to is to the power of 1, and has 3 terms.
Let me know if this helps!
The interquartile range is determined by the formula _________.
A. Third quartile - First quartile
B. Third quartile + first quartile
C. First quartile - third quartile
D. Maximum - minimum
Answer:
A)
Step-by-step explanation:
The inter quartile range is determined by the formula Third quartile - first quartile.
In a set, an inter quartile range is a measure of where the bulk of the data's lie
Prove the identity sin^2theta x csc^2 theta = sin^2 theta + cos^2 theta 20 points!!
Answer:
Step-by-step explanation:
sin² Θ csc² Θ =sin² Θ + cos² Θ
sin² Θ 1/sin² Θ = sin² Θ + cos² Θ
1 = sin² Θ + cos ² Θ (this is a trig identity)
please help!!! will give brainliest!!!
Answer:
the image or text isnt there?
Step-by-step explanation:
In a recent Super Bowl, a TV network predicted that 53 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 79 people who saw the commercials and found that 41 of them said they would watch one of the television shows.Suppose you have the following null and alternative hypotheses for a test you are running:H0:p=0.53H0:p=0.53Ha:p≠0.53Ha:p≠0.53Calculate the test statistic, rounded to 3 decimal places
======================================================
Explanation:
We're conducting a one proportion Z test.
The hypothesized population proportion is p = 0.53, which is not to be confused with the p-value (unfortunately statistics textbooks seem to overuse the letter 'p'). Luckily this problem is not asking for the p-value.
The sample population proportion is
phat = x/n = 41/79 = 0.518987 approximately
The standard error (SE) is
SE = sqrt(p*(1-p)/n)
SE = sqrt(0.53*(1-0.53)/79)
SE = 0.056153 approximately
Making the test statistic to be
z = (phat - p)/(SE)
z = (0.518987 - 0.53)/0.056153
z = -0.19612487311452
z = -0.196
Which is approximate and rounded to 3 decimal places.
pls solve this questions ,,with proper working..plsssssssss heeeeelpppp meeee......need to pass up tomorrow assignment..ASAP
Answer:
1). 114.29 km per hour
2). 93.24 km per hour
Step-by-step explanation:
Question (1)
Umar drove his taxi in two parts;
1). Ipoh to Tapah
2). Tapah to Kuala Lumpur
Since, the formula to calculate the average speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
Total distance from Ipoh to Tapah = 60 km
Average speed to cover this distance = 100 km per h
Time taken to cover this distance = [tex]\frac{\text{Distance covered}}{\text{Speed}}[/tex]
= [tex]\frac{60}{100}[/tex]
= 0.6 hours
Total distance from Ipoh to Kuala Lumpur = 220 km per h
Average speed from Ipoh to Kuala Lumpur = 110 km per h
Time taken to cover the distance = [tex]\frac{220}{110}[/tex] = 2 hours
Distance from Tapah to Kuala lumpur = 220 - 60
= 160 km
Time taken to travel from Tapah to Kuala Lumpur = 2 - 0.6
= 1.4 hours
Average speed from Tapah to Kuala Lumpur = [tex]\frac{160}{1.4}[/tex]
= 114. 29 km per hour
Question (2).
Speed achieved by the leopard = 25.9 meter per sec.
Since, 25.9 meter = [tex]\frac{25.9}{1000}[/tex] km
= 0.0259 km
1 second = [tex]\frac{1}{3600}[/tex] hour
Therefore 25.9 meter per second = [tex]\frac{0.0259}{\frac{1}{3600} }[/tex]
= 0.0259 × 3600
= 93.24 km per hour
which value of g makes 26=7(g-9)+12 a true statment
Answer:
11
Step-by-step explanation:
26=7(g-9)+12
14=7(g-9)
2=g-9
g=11
Help please! <3 Simplify the expression to find the correct answer. Show your work and explain how you got that answer. [tex]\frac{1}{3}\sqrt{21}-\frac{2}{3}\sqrt{3} x \sqrt{7}[/tex] A. [tex]-\frac{1}{3}\sqrt{21}[/tex] B. [tex]\frac{2}{3}\sqrt{21}[/tex] C. [tex]\frac{2}{3}\sqrt{18×7}[/tex] D. [tex]-\frac{1}{3}\sqrt{63}x\sqrt{7}[/tex]
Answer:
-1/3 sqrt(21)
Step-by-step explanation:
1/3 sqrt(21) - 2/3 sqrt(3) * sqrt(7)
We know sqrt(a) * sqrt(b) = sqrt(ab)
1/3 sqrt(21) - 2/3 sqrt(21)
Factor out sqrt(21)
sqrt(21) (1/3-2/3)
sqrt(21) (-1/3)
-1/3 sqrt(21)
Answer: Choice A) [tex]-\frac{1}{3}\sqrt{21}[/tex]
=====================================================
Work Shown:
I'm guessing that the x you wrote is to signify multiplication. If so, then one way to do the steps is shown in the attached image below.
In step 2, I used the rule that sqrt(x)*sqrt(y) = sqrt(x*y).
6) By which least number should each of the following numbers be divided to make them perfect squares? b) 45125
45125|5
9025|5
1805|5
361|19
19|19
1
[tex]45125=5^3\cdot 19^2=5^2\cdot 5\cdot19^2[/tex]
It's 5
How do I do question 2?
Answer:
518
Step-by-step explanation:
solution:
=8^2^×1^+1+6^2^×1^-1
=8^3+6^1
=8^3+6
=8×8×8+6
=512+6
=518
Determine the center and radius of the following circle equation:
Answer:
Hello,
Step-by-step explanation:
[tex]x^2+y^2+6x+18y-10=0\\\\x^2+6x+9+y^2+18y+81-9-81-10=0\\\\(x+3)^2+(y+9)^2=10^2\\\\\\center=(-3,-9)\\radius=10\\[/tex]
anyone know how to solve a functions equation such as x^2-x-x <0
Answer:
Step-by-step explanation:
[tex]x^{2} -x-x<[/tex] 0
[tex]x^{2} -2x[/tex] < 0
x^2-2x+1<1
(x-1）^2<1
-1<x-1<1
0<x<2
[tex](x-1)^{2}[/tex][tex](x-1)^{2}[/tex]
The number 7 is a factor of
Answer:
itself and numbers divisible by 7
Today, Ling is going to an art museum to see a special exhibit. It takes Ling 45 minutes to walk to the subway station. She will ride the subway for 45 minutes and then walk 15 minutes to the art museum. If Ling needs to be at the art museum by 9:30 A.M., what is the latest time she can leave her house?
Answer: 7:55
Step-by-step explanation: in total the journey is 105mins so if she has to reach by 9:30. Then she has to leave her house 105mins before 9:30
p->q is false and p is true.
q is
a.true
b.false
Answer:
Choice b. [tex]q[/tex] has to be false.
Step-by-step explanation:
Consider the truth table of [tex]p \implies q[/tex] ([tex]p[/tex] implies [tex]q[/tex]).
[tex]p[/tex] is true and [tex]q[/tex] is true: [tex]p \implies q[/tex] would be true.[tex]p[/tex] is true and [tex]q[/tex] is false: [tex]p \implies q[/tex] would be false.[tex]p[/tex] is false and [tex]q[/tex] is true: [tex]p \implies q[/tex] would be true.[tex]p[/tex] is false and [tex]q[/tex] is false: [tex]p \implies q[/tex] would also be true.The only combination where [tex]p \implies q[/tex] is false is when [tex]p[/tex] is true and [tex]q[/tex] is false. Hence, the [tex]q\![/tex] here must be false.
find the HCF of the following numbers by listing the set of factors class six the question is 60 and 90
Answer:
30
Step-by-step explanation:
Write an equation of the line. What is the equation of the line?
Answer:
y=-1
Step-by-step explanation:
As the line is horizontal in nature and pass through (2,-1), the equation is y=-1
the function h(x) is a transformation of the square root parent function
Answer:
h(x)=\sqrt(x+6)
Step-by-step explanation:
I just did the test for a p e x
If B is the midpoint of line AC, AC = CD, AB = 3x+4, AC=11x-17, and CE = 49, find DE. (Show work)
Answer:
2(3x+4) = 11x-17
6x+8 = 11x-17
25=-5x
x=-5
11x-17
55-17
38
AC = 38
CD = 38
49-38 = 11
DE = 11
Let me know if this helps!
Which of the following terms correctly describe the object below?
Check all that apply.
a. polyhedron
b. pyramid
c. prism
d. solid
e. cube
f. polygon
*will mark brainliest :))
Answer:
The given figure is:
a. Polyhedron
c. prism
d. solid
Step-by-step explanation:
First of all, let us consider the given image.
It is a 3 dimensional figure.
It has 2 equal bases which are pentagonal.
Its faces are made along the sides of the bases and are rectangular in shape.
Now, let us classify the given image in following:
a. Polyhedron:
A polyhedron is a 3-D (three dimensional) shape in which there are flat faces.
The faces can be of 'n' number of edges (Polygonal faces).
Its edges are straight, has sharp corners which are also known as vertices.
The given image is a polyhedron as per above definition.
b. Pyramid:
It is also a 3D shape which can have a polygonal base and its faces are triangular which converge on the top to one point.
The given image does not converge to a point on the top, so not a pyramid.
c. Prism:
It is a 3D shape which has it two bases as polygonal structure.
The two bases are equal in shape and size.
There are faces on the body of prism which are formed by joining the edges of the bases.
The given image is a prism with pentagonal bases.
d. Solid:
Any 3D image is called a solid and has a length, width and height.
So, the given image is a Solid.
e. Cube:
Cube is a 3D figure, which has all its faces in square shape.
All the sides are equal for a cube.
The given image is not a cube.
f. Polygon:
A polygon is a closed figure in 2 dimensions which has n number of sides.
The given image is not a polygon.
Answer: The given figure is:
a. Polyhedron
c. prism
d. solid
The given figure is a Polyhedron, prism and solid.
What is a polyhedron?A polyhedron is a three-dimensional geometry having plane surfaces connected together with sharp edges and pointed vertices.
First of all, let us consider the given image. It is a 3-dimensional figure. It has 2 equal bases which are pentagonal. Its faces are made along the sides of the bases and are rectangular in shape.
Now, let us classify the given image in the following:
a. Polyhedron:
A polyhedron is a 3-D (three dimensional) shape in which there are flat faces. The faces can be of 'n' number of edges (Polygonal faces). Its edges are straight, has sharp corners which are also known as vertices. The given image is a polyhedron as per the above definition.
c. Prism:
It is a 3D shape which has it two bases as a polygonal structure.The two bases are equal in shape and size. There are faces on the body of prism which are formed by joining the edges of the bases. The given image is a prism with pentagonal bases.
d. Solid:
Any 3D image is called a solid and has a length, width and height. So, the given image is a Solid.
To know more about Polyhedrons follow
https://brainly.com/question/24324783
#SPJ5
what are irrational numbers?
Step-by-step explanation:
Any real number that cannot be expressed as the quotient of integers
I HOPE THE DAY GOES GREAT.
find the extrema of the function y=cos2x
Answer:
Step-by-step explanation:
Find derivative of the function:
y' = -2·sin(2·x)
-2·sin(2·x) = 0
x1 = 0
x2 = 3.142
f(0) = 1
f(3.142) = 1
Answer
fmin = 1, fmax = 1
A rectangular sheet of steel is being cut so that the length is four times the width the perimeter of the sheet must be less than 100 inches . Which inequality can be used to find all possible lengths,l.of the steel sheet
Answer:
w>10
length = 40
Step-by-step explanation:
Let
Width=w
Length=4w
Perimeter is less than 100 inches
Perimeter of a rectangle= 2( Length + width)
100 < 2(4w+w)
100 < 8w+2w
100 < 10w
w > 10
Length =4w
=4 × 10
=40 inches
Answer:
5/2l <100
Step-by-step explanation:
PLATO
Sum and Product of zeroes of the quadratic polynomial 16s² - 16s + 4 respectively is:Sum and Product of zeroes of the quadratic polynomial 16s² - 16s + 4 respectively is:
Answer:
The sum and product of zeroes are 1 and 1/4, respectively.
Step-by-step explanation:
To determine the zeroes of the quadratic polynomial, let equalize the polynomial to zero and solve in consequence:
[tex]16\cdot s^{2}-16\cdot s + 4 = 0[/tex]
By the General Quadratic Formula:
[tex]s_{1,2} = \frac{16\pm \sqrt{(-16)^{2}-4\cdot (16)\cdot (4)}}{2\cdot (16)}[/tex]
[tex]s_{1,2} = \frac{1}{2}[/tex]
Which means that zeroes are [tex]s_{1}=s_{2}=\frac{1}{2}[/tex].
The sum and product of zeroes are, respectively:
[tex]s_{1}+s_{2} =\frac{1}{2}+\frac{1}{2}[/tex]
[tex]s_{1}+s_{2} = 1[/tex]
[tex]s_{1}\cdot s_{2} = \left(\frac{1}{2} \right)^{2}[/tex]
[tex]s_{1}\cdot s_{2} = \frac{1}{4}[/tex]
The sum and product of zeroes are 1 and 1/4, respectively.
Find of factor of 72
Answer:Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
Negative Factors of 72: -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -36 and -72.
Prime Factors of 72: 2, 3.
Prime Factorization of 72: 2 × 2 × 2 × 3 × 3 = 23 × 32
Sum of Factors of 72: 195.
Step-by-step explanation:
please solve this ASAP. I need this done but I can't figure it out
Answer:
x = 61
Step-by-step explanation:
Supplementary angles add up to 180 degrees. We can create an equation and solve for x.
(2x + 6) + (x - 9)= 180
~Combine like terms
3x - 3 = 180
~Add 3 to both sides
3x = 183
~Divide 3 to both sides
x = 61
Best of Luck!
1. Find the area of a triangle (PLEASE ONLY in CM²) 2. Seven squared equals seven times .........
Answer:
30 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 6 and h = 10 , thus
A = [tex]\frac{1}{2}[/tex] × 6 × 10 = 3 × 10 = 30 cm²
and 7² = 7 × 7 = 49
Answer:
1) 30 cm²
2) Seven squared equals seven times 7
Step-by-step explanation:
Base = 6 cm
Height = 10 cm
Area of triangle = [tex]\frac{1}{2}[/tex]*base * height
= [tex]\frac{1}{2} * 6 * 10[/tex]
= 3 * 10
= 30 cm²
2) 7² = 7 * 7
By how much is 5 over 6 greater than 3 over 4
Answer:
By 1/12Step-by-step explanation:
5/6 - 3/4 = 10/12 - 9/12 = (10 - 9)/12 = 1/12Convert 2 5/8 to a decimal
Answer:
2.625
Step-by-step explanation:
First convert mixed fraction to improper fraction,
=> 21/8
Then by normal division you will get,
=> 2.625
Write each of the following in the simplest exponential form please help
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n} =a^{m+n}\\\\\\2^{3}*2^{5} = 2^{3+5} =2^{8}\\\\\\3^{2}*3^{4}=3^{2+4} = 3^{6}\\\\\\a^{2}*a^{5}=a^{2+5}=a^{7}[/tex]
find the volume of each figure. Round to the nearest tenth if necessary.
Answer:
3166.7
Step-by-step explanation:
Volume=pi*r^2*h
=pi*12^2*7=3166.7
Answer:
3166.7
Step-by-step explanation:
Volume of a cylinder= pi × radius² × height
3.14 × 12² ×7 = 3166.7