Answer:
15
Step-by-step explanation:
The highest exponent in a polynomial function is the degree. The degree is also the greatest number of roots available. Since roots come from the factors of the function, as each factor is multiplied the degree increases. If the degree is 15 the greatest number of factors or roots it can have is 15.
Simplify each expression
Answer:
[tex]\frac{2y+3}{7y-1}[/tex]
Step-by-step explanation:
The given expression is
[tex]\frac{10y^2+15y}{35y^2-5y}[/tex]
Factor both the numerator and the denominator.
[tex]=\frac{5y(2y+3)}{5y(7y-1)}[/tex]
Cancel out the common factors.
[tex]=\frac{2y+3}{7y-1}[/tex]
Answer:
The correct answer is,
(10y² + 15y)/(35y² - 5y) = (2y + 3 )/( 7y - 1)
Step-by-step explanation:
It is given an expression,
(10y² + 15y)/(35y² - 5y)
To simplify the given expression
Taking 5y as common from both numerator and denominator,
(10y² + 15y )/( 35y² - 5y) = 5y( 2y + 3)/5y( 7y - 1)
= (2y + 3 )/( 7y - 1)
Therefore the simplified form of given expression is given by,
(10y² + 15y)/(35y² - 5y) = (2y + 3 )/( 7y - 1)
Find the radius of a circle with a circumference of 21.99 feet
Answer:
Radius ≈ 3.5 ftStep-by-step explanation:
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
r - radius
We have C = 21.99 ft. Substitute and solve for r:
[tex]21.99=2\pi r[/tex] divide both sides by 2π
[tex]r=\dfrac{21.99}{2\pi}[/tex]
Use [tex]\pi\approx3.14[/tex]
[tex]r\approx\dfrac{21.99}{2(3.14)}=\dfrac{21.99}{6.28}\approx3.5[/tex]
The radius of a circle with a circumference of 21.99 feet is 3.50 ft
Circumference of a circle:circumference = 2πrwhere
r = radius
Therefore,
circumference = 21.99 ft
circumference = 2πr
circumference = 2 × 3.14 × r
21.99 = 6.28r
divide both sides by 6.28
r = 21.99 / 6.28
r = 3.50159235669
r = 3.50 ft
learn more on circumference here: https://brainly.com/question/12388756
Can two cars be traveling the same speed but have difference velocities
Answer: Objects have the same velocity only if they are moving at the same speed and in the same direction. Objects moving at different speeds, in different directions, or both have different velocities.
On a map, the North Carolina cities of Raleigh, Durham, and Chapel Hill form a triangle, as shown below. What are the approximate values of the missing measures on the map?
The approximate values are:
c = 55.2°
r = 22.8°
x = 9.9 miles
Explanation- To find angle [tex]c[/tex], we are using the rule of sines: [tex]\frac{a}{sin(A)} =\frac{b}{sin(B)} =\frac{c}{sin(C)}[/tex]
For our triangle [tex]a=21,A=c,b=x,B=r,c=25[/tex] and [tex]C=102[/tex]
Replacing the values we get: [tex]\frac{21}{sin(c)} =\frac{x}{sin(r)} =\frac{25}{sin(102)}[/tex]
We can pick up two suited values to find [tex]c[/tex]:
[tex]\frac{21}{sin(c)} =\frac{25}{sin(102)}[/tex]
[tex]21=\frac{25sin(c)}{sin(102)}[/tex]
[tex]21sin(102)=25sin(c)[/tex]
[tex]sin(c)=\frac{21sin(102)}{25}[/tex]
[tex]c=sin^{-1}(\frac{21sin(102)}{25})[/tex]
[tex]c=55.2[/tex]
- Now that we have angle [tex]c[/tex], we can use the angle sum theorem to find angle [tex]r[/tex].
The angle sum theorem states the the interior angles of a triangle add up to 180°, so:
[tex]r+c+102=180[/tex]
[tex]r+55.2+102=180[/tex]
[tex]r+157.2=180[/tex]
[tex]r=22.8[/tex]
- Now that we have angle [tex]r[/tex], we can use the rule of sines, one more time, to find side [tex]x[/tex]
[tex]\frac{21}{sin(c)} =\frac{x}{sin(r)} =\frac{25}{sin(102)}[/tex]
[tex]\frac{x}{sin(r)} =\frac{25}{sin(102)}[/tex]
[tex]\frac{x}{sin(22.8)} =\frac{25}{sin(102)}[/tex]
[tex]x=\frac{25sin(22.8)}{sin(102)}[/tex]
[tex]x=9.9[/tex]
Answer: 1) r=23° , c=55° , x=10°
Step-by-step explanation:
correct on edge 2020
whats the answer for this?
Answer:
15+c-d
Step-by-step explanation:
4(3+1/4c-1/2d) or in decimals 4(3+0.25c-0.5d)
distribute the 4 (in other words use the distributive property)
4 · 3 = 12
4 · 0.25 = 1
4 · 0.5 = 2
12 + 1 + 2 = 15
15 + c-d is your answer
hope I helped <3
Look at the photo! Please answer ASAP will give brainliest on the last one it says answer and square feet
A path starts and ends at the same vertex true or false
the statement is true
HELP PLEASE I NEED THIS DONE
Answer:
138.3ft^3
Step-by-step explanation:
Volume for cylinders : V = pi*r^2*h
Volume for cones : V = pi*r^2*(h/3)
Since we know the radius (r) is 2 and the height is 10 and 3 for the cylinder and cone respectively, all we do is plug in.
Volume for cylinder is about 125.7ft^3
Volume for cone is about 12.6ft^3
Then just add them together for a total of 138.3ft^3
3. Factor by identifying a common factor in each term.
g) 6xy2 = (3x) (?)
h) 25a3b2 = (5a2b2) (?)
i) 6x + 6y + 6p
PLEASE HELP
Answer:
[tex]\large\boxed{g)\ 6xy^2=(3x)(2y^2)}\\\boxed{h)\ 25a^3b^2=(5a^2b^2)(5a)}\\\boxed{i)\ 6x+6y+6p=6(x+y+p)}[/tex]
Step-by-step explanation:
[tex]g)\ 6xy^2=3\cdot2\cdot x\cdot y\cdot y=(3\cdot x)(2\cdot y\cdot y)=(3x)(2y^2)\\\\h)\ 25a^3b^2=5\cdot5\cdot a\cdot a\cdot a\cdot b\cdot b=(5\cdot a\cdot a\cdot b\cdot b)(5\cdot a)=(5a^2b^2)(5a)\\\\i)\ 6x+6y+6p=6\cdot x+6\cdot y+6\cdot p=6(x+y+p)[/tex]
Other way for g) and h):
[tex]g)\ \dfrac{6xy^2}{3x}=\dfrac{6}{3}\cdot\dfrac{xy^2}{x}=2y^2\\\\6xy^2=(3x)(2y^2)\\\\h)\ \dfrac{25a^3b^2}{5a^2b^2}=\dfrac{25}{5}\cdot\dfrac{a^3}{a^2}\cdot\dfrac{b^2}{b^2}=5a\\\\25a^3b^2=(5a^2b^2)(5a)[/tex]
To factor by identifying a common factor in each term, divide out the greatest common factor of the terms.
Explanation:To factor by identifying a common factor in each term, we look for a number or variable that can be divided out of each term. Let's go through the expressions one by one:
g) 6xy2 = (3x) ?
We can see that both terms have a common factor of 3x. Dividing each term by 3x gives us 2y2.
h) 25a3b2 = (5a2b2) ?
Again, both terms have a common factor, which is 5a2b2. Dividing each term by 5a2b2 gives us 5a.
i) 6x + 6y + 6p
Here, all three terms have a common factor of 6. Dividing each term by 6 gives us x + y + p.
Learn more about Factoring here:https://brainly.com/question/33624529
#SPJ3
For which of the following is the arc between the two hands of a clock greater than a semicircle?
The long arm is at 12 and the short arm is in-between the 12 and the 1
A The hands are at 11 and 6; arc measured clockwise
B The hands are at 11 and 6; arc measured counterclockwise
C The hands are at 2 and 8; arc measured counterclockwise
D The hands are at 2 and 8; arc measured clockwise
Answer:
A
Step-by-step explanation:
Each hour is 30 degrees. 11 to 6 is 7 hours so 30 * 7 = 210 degrees, which is greater than a semicircle, which is 180 degrees.
Answer:
A. The hands are at 11 and 6; arc measured clockwise
Step-by-step explanation:
A semicircle measures 180º and when you measure the distance from 11 to 6 the difference in the hands of the clock by each hour is given by the equation:
[tex]\frac{360}{12}[/tex]= 30
So there are 7 numbers between the 11 and the 6 if you measure it clockwise, that means that the angle formed by the two hands of the clock measured clockwise is:
7*30= 210
Wich is greater than 180º, which is why that is the correct answer.
What is the value of d?
Answer options: 70,85, 55, 42.5
Answer:
85°
Step-by-step explanation:
Opposite angles in a cyclic quadrilateral add up to 180°.in the figure provided, angle d is opposite the angle whose value is 95° while angle c is opposite the angle marked 110°. there fore its value can be calculated as follows:
angle d= 180-95
angle d=85°
Pls help picture provided
Answer: second option
Step-by-step explanation:
The standard form of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
Then, to write the quadratic equation given in the problem in standard form, you must substract 1 from both sides of the equation. Then you have:
[tex]2x^2+5x-1=0[/tex]
Given the quadratic equation above, to find the value of [tex]b^2-4ac[/tex] you must substitute:
a=2; b=5 and c=-1 into [tex]b^2-4ac[/tex]
Thenrefore, you obtain the following result:
[tex]5^2-4(2)(-1)=33[/tex]
Answer:
[tex]33[/tex]
Step-by-step explanation:
The given quadratic equation is
[tex]1=2x^2+5x[/tex]
We want to rewrite this equation in the form;
[tex]ax^2+bx+c=0[/tex]
We add [tex]-1[/tex] to both sides of the equation to obtain;
[tex]0=2x^2+5x-1[/tex]
This is the same as
[tex]2x^2+5x-1=0[/tex]
This implies that;
[tex]a=2,b=5,c=-1[/tex]
We substitute these values into the expression [tex]b^2-4ac[/tex]
[tex]\Rightarrow 5^{2}-4(2)(-1)[/tex]
[tex]=25+8[/tex]
[tex]=33[/tex]
Dina has a number cube that she uses for a game. The number cube has the shape of a triangular pyramid, with 4 faces numbered 1 through 4.
Dina rolls the number cube 100 times and records the results. She calculates the relative frequency of each outcome
Outcome: 1 2 3 4
Relative Frequency : 0.23 0.24 0.26 0.27
Which statements about Dina's experiment are true?
Select EACH correct answer.
A) The relative frequencies in the table are reasonably close.
B) The theoretical probability of rolling an even number is 0.51.
C) The relative frequency of rolling an even number is 0.51.
D) The number cube is not likely to be fair.
Answer:
A) The relative frequencies in the table are reasonably close; C) The relative frequency of rolling an even number is 0.51.
Step-by-step explanation:
The relative frequencies given are at most 0.02 apart. This means they are reasonably close.
The theoretical probability for each outcome would be 1/4, or 0.25; this means the theoretical probability of rolling an even number would be 0.50, not 0.51.
However, the relative frequency of rolling an even number would be 0.24+0.27 = 0.51.
Since the relative frequencies are reasonably close, the number cube is likely to be fair.
Answer:
Option A and C are true.
Step-by-step explanation:
Given : Dina has a number cube that she uses for a game. The number cube has the shape of a triangular pyramid, with 4 faces numbered 1 through 4.
Dina rolls the number cube 100 times and records the results. She calculates the relative frequency of each outcome
Outcome : 1 2 3 4
Relative Frequency : 0.23 0.24 0.26 0.27
To find : Which statements about Dina's experiment are true?
Solution :
Option A - The relative frequencies in the table are reasonably close.
This statement is true, as we see that the relative frequency are all between 0.23 to 0.27 that are reasonably close.
Option B - The theoretical probability of rolling an even number is 0.51.
This statement is not true, as the theoretical probability of rolling even numbers is
2 even numbers from 4, so probability is
[tex]P=\frac{2}{4}=\frac{1}{2}=0.5[/tex]
Option C - The relative probability of rolling an even number is 0.51.
This statement is true, as the relative frequency of an even number is 0.24+0.27=0.51
Option D - The number cube is not likely to be fair.
The statement is not true, as the relative frequency are reasonably close which implies that the number cube is likely to be fair and sum of the relative frequency is 1.
Therefore, Option A and C are correct.
(URGENT)
What is the volume of the square pyramid with base edges 4m and height 3m?
The volume of a square pyramid is a^2 * h/3, assuming a is the base edge and h is the height. Plug the numbers in and you get your answer.
The volume of the square pyramid with base edges of 4 m and height 3 m is [tex]16 \, \text{m}^3[/tex]
To find the volume of a square pyramid, you can use the formula:
[tex]\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]
For a square pyramid, the base area is the area of the square base. The formula for the area of a square is \( \text{Area} = \text{side}^2 \).[tex]\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]
Given:
- Base edges = 4 m
- Height = 3 m
1. Calculate the Base Area:
The base of the square pyramid is a square, so its area is:
Base Area = [tex]\text{side}^2[/tex]
Base Area = [tex]4^2[/tex]
Base Area = [tex]16 \, \text{m}^2[/tex]
2. Plug the Values into the Volume Formula:
Now, we can plug the values into the volume formula:
Volume = [tex]\frac{1}{3} \times \text{Base Area} \times \text{Height}[/tex]
Volume = [tex]\frac{1}{3} \times 16 \, \text{m}^2 \times 3 \, \text{m}[/tex]
Volume = [tex]\frac{1}{3} \times 48 \, \text{m}^3[/tex]
Volume = [tex]16 \, \text{m}^3[/tex]
So, the volume of the square pyramid with base edges 4 m and height 3 m is [tex]16 \, \text{m}^3[/tex]
what is the equation for an arithmetic sequence with a first term of 7 and a second term of 3?
Answer:
HOPEFULLY THIS HELPS YOU
Arithmetic sequence: an = a1 + (n-1)d
In this case: an = 7 +(n-1)(-4)
Write the equation of a circle
Answer:
[tex]\large\boxed{(x-9)^2+(y+5)^2=4}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the center (9, -5) and the radius r = 2. Substitute:
[tex](x-9)^2+(y-(-5))^2=2^2\\\\(x-9)^2+(y+5)^2=4[/tex]
How do I find the percent
Answer:
if you want to find a percent first you have to find the fraction. for an example for other, if 75 people out of 300 people are working you would divide 75 by 300. that would give you .25. then you multipluy by a hundred. that would give you 25 percent
Step-by-step explanation:
What is the initial value of the equation shown? y = −4x − 3 −4 −3 3 4
The initial value is when Y equals when x is 0.
Replace x with 0 in the equation and solve for y.
Y = -4x -3
y = -4(0) - 3
y = 0-3
y = -3
Answer:
-3
Step-by-step explanation:
The initial value of an equation is when x=0
y = −4x − 3
Let x =0
y = -4(0) -3
y = 0-3
y=-3
The initial value is -3
Which pair of angles are corresponding? 10 points <3
Answer: Angles 1 and 5
Step-by-step explanation: Corresponding angles are angles that have the same measures.
Since angle 1 and 5 have the same measure on these lines, that means that the answer must be angle 1 and 5.
Find the area of figure B
Answer: tithe area of figure b is 315.
Step-by-step explanation:
in circle O, AD and BE are diameters. the measure of arc AB is 55 and the measure of arc CD is 25 what is the measure of EAC
Answer:
arc EAC = 280 degrees
Step-by-step explanation:
Given: the measure of arc AB is 55 and the measure of arc CD is 25
Vertical angles are equal so <AOB = <DOE = 55
In a circle, the degree measure of an arc is equal to the measure of the central angle.
so if <DOE = 55 then arc DE = 55
As you know, the arc angle to a full angle in a circle = 360
so
arc EAC = 360 - arc CD - arc DE
arc EAC = 360 - 55 - 25
arc EAC = 280
Answer:
arc EAC = 280 degrees
The measure of EAC = 280°
What is a Circle?A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.
The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.
The circumference is the perimeter of the circle, it is the distance that is covered by a man to take one round around the circle.
The area is defined as the space required by a two dimensional object in space.
The chord AD and BE is the diameter of the circle,
They intersect each other, the sector formed by the circle is of equal measure.
The measure of arc AB is 55 and,
The measure of arc CD is 25
The sector ED = AB = 55 degree.
The measure of EAC = 360 - measure of ED and DC
The measure of EAC = 360 - 55 - 25
The measure of EAC = 280°
To know more about Circle
https://brainly.com/question/11833983
#SPJ5
Jean needs 2 gallons olive oil to make a recipe. If olive oil cost $ 8.00 a quart, how much money will she need to buy the olive oil?
Answer:
Step-by-step explanation:
There are 4 quarts in a gallon.
So, that is $32 a gallon.
2 gallons is $64
Write a number story to fit this number sentence. 20- (3x6) =2
Answer: Bonnie went to a meadow to pick flowers there was 20 flowers in one area and had decided to pick 18 of the flowers, how many flowers are left?
Step-by-step explanation: I don't know.... Just something random, hope I was able to help!
A Number story was written to describe the given mathematical equation.
Mercy had 20 balls, 6 were of green color, 6 were of blue color, 6
were of red color, 2 were of yellow colors. One day six of her friends came
to her home and each of them liked the balls Mercy had. All of them
requested Mercy to offer one ball of each color i.e. green, blue, and red. Since they were the best friends of Mercy so Mercy couldn't deny it.
She offered each friend 3 balls of green, blue, and red color each. Since She offered 3 balls to each of her friends i.e 18 balls, she was left with
20-(3*6) = 2 yellow color balls.
Thus, a number story was written to describe the given mathematical equation.
Which of the following statements about cubes is false?
Answer:
B and D
Step-by-step explanation:
The surface area is the area of each face of the cube. The volume is the amount that will fill the cube. These are two separate processes which cannot give you the same measurement by calculating one part of the surface area. B is false.
Doubling the sides of the cube will not double the surface area. It will quadruple it. D is false too.
What is the complete factorization of the polynomial below? x^3+2x^2+ x + 2
The complete factorization of the given polynomial is (x² + 1)(x + 2).
Explanation:To factorize the polynomial [tex]x^3 + 2x^2 + x + 2[/tex], we first look for any common factors. In this case, we don't have any common factors, so we move on to factoring by grouping.
Unfortunately, this cubic polynomial does not factorize nicely into simpler terms using rational numbers. It would involve using heavy algebra and complex numbers to factor. Usually, for a cubic polynomial of this nature, a numerical method will be employed to find its roots.
We can group the terms as [tex]x^3 + 2x^2 + x + 2[/tex]). Taking out the common factors from each group, we get:
[tex]x^2[/tex](x + 2) + 1(x + 2).
Now, notice that we have a common binomial term (x + 2), so we can factor that out as well:
([tex]x^2[/tex] + 1)(x + 2).
Learn more about Factorization here:https://brainly.com/question/33624529
#SPJ6
What is the value of x so that the line segment with endpoints W(x, −2) and X(5, −4) is parallel to the line segment with endpoints Y(2, 2) and Z(5, 6)?
x equals six start fraction one over two end fraction
x = 6 x
equals three start fraction one over two end fraction
x = 7
Answer:
x equals six start fraction one over two end fraction
Step-by-step explanation:
Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.
Slope of YZ is:
[tex]m = \frac{y_2-y_1}{x_2-x_1}=\frac{2-6}{2-5}=\frac{-4}{-3}=\frac{4}{3}[/tex]
Since they are parallel, then WX has a slope of 4/3 too.
Slope of WX is:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3}=\frac{-2--4}{x-5}\\\\\frac{4}{3}=\frac{2}{x-5}\\\\\frac{4}{3} (x-5) = 2\\\\4x -20=6\\\\4x = 26\\\\x = 6\frac{1}{2}[/tex]
The table shows the height of a ball that was dropped from a 380-foot tower. What was the ball's rate of fall during the first 3 seconds?
0s-380ft
1-s-350ft
2s-290ft
3s-200ft
Answer:
60ft/s
Step-by-step explanation:
To find the rate
rate = f(3) - f(0)
-------------
3-0
rate = 200-380
---------------
3-0
rate = -180/3 = -60 ft/s
The negative tells us it is falling
The fall falls 60ft/s
Answer:
The correct answer is 60 feet / second.
Step-by-step explanation:
We are given the height of a ball which is falling from a height of 280 feet for 3 seconds.
We are to find the ball's rate of fall during the first 3 seconds.
For that, we will take the difference between the heights and divide it by the time.
Ball's rate = [tex] \frac { 3 8 0 - 2 0 0 } { 3 } [/tex] = 60 feet / second
A van has room for six students and two teachers. How many vans are needed for a total of 48 students and 16 teachers
You would need 8 vans because:
48/6 = 8
16/2=8
Plus, if you add the number of students and teachers together it equals 64. Then divide it by the number of people who can fit into the van, which is 8.
64/8=8 vans
there will be needed 10 buses so other people can fit in
help me on this math please
9514 1404 393
Answer:
A (and C)
Step-by-step explanation:
A relationship that is a direct proportion is described by the equation ...
y = kx
for some constant k.
You can examine the tables to see what the value of k is by looking at ...
k = y/x
__
In table A, the values of k are 125/5 = 250/10 = 500/20 = 25.
In table B, the values of k are 100/50 = 2, 250/20 = 125, 50/10 = 5. These are not constant, so the relation is not a proportional one.
In table C, the values of k are -125/5 = -250/10 = -500/20 = -25.
In table D, the values of k are 8/2 = 4, 10/4 = 2.5, 12/6 = 2. These values are not constant, so the relation is not a proportional one.
__
We see that the tables of A and C both represent proportional relationships. We usually expect the value of k to be positive, but there is nothing in the definition of a proportional relationship that demands that be the case.
If this is a single-answer question, choose A.
If this is an "all that apply" question, choose A and C.
Given the diagram below what is the length of segment EF
Answer:5.5
Step-by-step explanation:
A. P. E. X.
The length of the line segment EF will be 55 units. Then the correct option is B.
What is a trapezium?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.
In the diagram, the line segment EF is the given as the half of the sum of the line segment BC and the line segment AD.
EF = (BC + AD) / 2
From the diagram, the length of the line segment AD is 7.6 units and the length of the line segment BC is 3.4 units.
Put these values in equation. Then the length of the line segment EF will be
EF = (3.4+ 7.6) / 2
EF = 11 / 2
EF = 5.5 units
Thus, the length of the line segment EF will be 55 units.
Then the correct option is B.
More about the trapezium link is given below.
https://brainly.com/question/22607187
#SPJ5