Answer:
if a polynomial of lowest degree p has zeros at x=x1,x2,…,xn x = x 1 , x 2 , … , x n , then the polynomial can be written in the factored form: f(x)=a(x−x1)p1(x−x2)p2⋯(x−xn)pn f ( x ) = a ( x − x 1 ) p 1 ( x − x 2 ) p 2 ⋯ ( x − x n ) p n where the powers pi on each factor can be determined by the behavior of the graph ...
What is the Slope of the line
Answer:
[tex]m=\frac{-3}{4}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{-4-(-1)}{5-1}[/tex]
[tex]m=\frac{-4+1}{4}[/tex]
[tex]m=\frac{-3}{4}[/tex]
Help please will give brainlest!!!
Answer:
1.55 or 31/20 which is 1 11/20 gallons
Step-by-step explanation:
Find the value of x:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. There you go!
I WILL PICK YOU BRAINLIEST PLS, help with this! no one has really answered any of my questions so if you could help me with this on that would be great
Answer:
A = 28 cm^2 (4+24)
B = 34 cm^2 (40-6)
C = 96 cm^2 (150-54)
D = 40 cm^2 (1/2(8*5) + 1/2(8+5))
Step-by-step explanation:
Answer:
Step-by-step explanation:
-68 divided (-4)
Help ASAP
Answer:
Two negatives = positive (17)
Step-by-step explanation:
Answer:
Today: Wednesday, 14 October 2020
Hour: 12.58 WIB
______________________________
-68 divinded (-4) is 17
help me please
*I select an answer, but I don't know if it's right or wrong*
Answer:
yes your answer it right.... brainliest plsss
Solve the system of equations 2x-4y=-2 and -x+8y=-23 by combining the equations.
Answer:
(−9,−4)
Step-by-step explanation:
A DJ is preparing a playlist of 23 songs. How many different ways can the DJ arrange the first four songs on the playlist?
Answer:
Sample Response: The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.
DJ can arrange 88,55 times the first four songs on the playlist.
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,
Given that,
DJ prepares a playlist of 23 songs.
Since, DJ arranges the first four songs on the playlist,
The ways to arrange the song on the playlist,
= [tex]^{23}C_4[/tex]
= 23 ! / (4! x (23 - 4)! )
= 23 ! / (4! x 19!)
= (23 x 22 x 21 x 20 x 19!) / (4 x 3 x 2 x 1 x 19!)
= 23 x 11 x 7 x 5
= 8855
There are 8,855 ways to arrange first 4 songs.
To know more about Permutation and Combination on:
https://brainly.com/question/13387529
#SPJ2
What are dot plots used for?
A. Dot plots are best used to show a distribution of data.
B. Dot plots are best used to show answers to a non-statistical question.
C. Dot plots are best used to help you ask questions.
D. Dot plots are best used to help you tally data.
Answer:
A
Step-by-step explanation:
How much candy will each person get if 5 people share 6 1/2 pounds of Swedish fish.
Answer:
1 3/10 pounds of candy. Or around 1 pound
Step-by-step explanation:
6 1/2= 6.5
6.5/5=1.3
1.3 as a fraction is 1 3/10
-2x(x+12)+3(x+12) please please
which of the following functions has a range of all real numbers?
Answer:
c
Step-by-step explanation:
The dots cannot intersect
Solve the problem.
Two forces of 575 newtons and 271 newtons act at a point. The resultant force is 657 newtons. Find the angle between the forces.
The resultant force is
→F=321.9N at−165.4°
The equilibrant is
→Feq=321.9N at14.6°
Explanation:
This problem requires that we resolve the force vectors into x- and y-components.
Once this is done, we can add the components easily, as the one 2-dimensional problem will be two 1-dimensional problems.
Finally, we will convert the resultant force into standard form and find the equilibrant.
Resolve into components:
F1x=F1cos180°=215(−1)=−215N
F1y=F1sin180°=0N
F2x=F2cos(−140°)=126(−0.766)=−96.5N
F1y=F1sin(−140°)=126(−0.643)=−81.0N
Note the change of the angle used to give the direction of F2. Standard angles (rotation from the x-axis; counterclockwise is +) should be used to avoid sign errors in the results.
Now, we add the components:
Fx=F1x+F2x=−311.5N
Fy=F1y+F2y=−81.0N
Technically, this is the resultant force. However, it should be changed back into standard form. Here's how:
F=√(
What are the solutions to the quadratic equation below?
3x2 +16x + 21 = 0
Answer:
-3 and -7/3
Step-by-step explanation:
You could solve by factoring.
To do that, you find 2 numbers that multiply to 21, but add up to 16 when you multiply one of them by 3.
In this case, 3 and 7 would work, because 3*3 + 7 = 16, and 3 * 7 = 21.
Therefore, we can factor the equation to (3x+7)(x+3).
The solutions of the equations are -3 and -7/3.
Mai ran 1/4 of the length of her road, which is 9 miles long. How long did Mai run?
Answer:2.25
Step-by-step explanation:
If the length of the road is 9 miles long and Mai ran 1/4 of the length of her road. Mai ran 2.25 miles.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
It is given that,
Length of road = 9 miles
From the condition,
Mai ran 1/4 of the length of her road
Mai ran = 1/4 × length of her road
Mai ran = 1/4 × 9
Mai ran = 2.25 miles.
Thus, if the length of the road is 9 miles long and Mai ran 1/4 of the length of her road. Mai ran 2.25 miles.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
Find the product of 7 and 4.76.
Answer:
33.32
Explantion: 7x4.76
Jim bought a new freezer last winter. When he plugged it in at noon the temperature
inside the freezer was 21°C. That night the temperature inside the freezer was -15°C. By
how many degrees Celsius did the temperature change?
Answer:
The temperature inside the freezer dropped 36°C.
Step-by-step explanation:
You need to subtract the new temperature from the old temperature to get the difference. That's a pretty cool freezer! (Pun intended!)
I hope this helps!
What is the correct answer? please
A decimal is never a rational number
True
False
Answer:
False
Step-by-step explanation:
Decimals such as 1.2, 4.95, 2.28914 are all rational numbers.
If it doesnt end then its irrational, such as pi. but we know the exact amount of the numbers above therefore its rational. Also it can be put in fraction form which is another way to determine if rational or not.
a store sells jump rope. Each jump rope cots the sa
You haven't finished the question.
You need to finish the question before it can be answered.
The price of a stock steadily decreased by a total of $123 over the past 14 months.
What happened when the stock decreased by $123?
A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $, a $ gas card, or a $ shopping card. To claim his or her prize, a prospective customer needed to present the flier at the dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of , the chance of winning the gas card was 1 out of and the chance of winning the shopping card was out of 31,866, the chance of winning the gas card was 1 out of 31,866, and the chance of winning the shopping card was 31,864 out of 31,866.
Required:
a. How many fliers do you think the automobile dealership sent out?
b. Using your answer to (a) and the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier?
c. Using your answer to (a) and the probabilities listed on the flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a flier?
Answer:
(a) 31101
(b) $5.65
(c) $113.38
Step-by-step explanation:
The complete question is:
A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $20,000, a $125 gas card, or a $5 shopping card. To claim his or her prize, a prospective print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,101, the chance of winning the gas card was 1 out of 31,101, and the chance of winning the shopping card was 31, 099 out of 31,101.
Solution:
The information provided is as follows:
[tex]P(\text{Car})=\frac{1}{31101}\\\\P(\text{Gas Card})=\frac{1}{31101}\\\\P(\text{Shopping Card})=\frac{31099}{31101}[/tex]
(a)
The number of fliers the automobile dealership sent out is, n = 31,101.
This is because the probability of winning any of the three prize is out of 31,101.
(b)
Compute the expected value of the prize won by a prospective customer receiving a flier as follows:
[tex]E(X)=\sum x\times P(X=x)[/tex]
[tex]=[20000\times \frac{1}{31101}]+[125\times \frac{1}{31101}]+[5\times \frac{31099}{31101}]\\\\=0.6431+0.0040+4.9997\\\\=5.6468\\\\\approx 5.65[/tex]
Thus, the expected value of the prize won by a prospective customer receiving a flier is $5.65.
(c)
Compute the standard deviation of the prize won by a prospective customer receiving a flier as follows:
[tex]SD(X)=\sqrt{V(X)}=\sqrt{E(X^{2}-(E(X))^{2}}[/tex]
[tex]=\sqrt{[(20000)^{2}\times \frac{1}{31101}+(125)^{2}\times \frac{1}{31101}+(5)^{2}\times \frac{31099}{31101}]-(5.65)^{2}}\\\\=\sqrt{12854.9011}\\\\=113.37947\\\\\approx 113.38[/tex]
Thus, the standard deviation of the prize won by a prospective customer receiving a flier is $113.38.
Given that <2=<6.
Which theorem proves that line d is parallel to line e.
A. Alternate interior angle theorem
B.Converse of the alternate exterior angle
theorem
C.Converse of the alternate interior angle
theorem
D.Alternate Exterior angle theorem
Answer: B . Converse of the alternate exterior angle theorem.
The converse of the alternate exterior angle proves that line d is parallel to line e which is the correct answer would be an option (C).
What are Alternate Interior Angles?Alternate Interior Angles are defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles.
According to the alternate exterior angles theorem, if two parallel lines are intersected by a transversal, the alternate exterior angles are congruent. In light of this, the converse of the alternate exterior angle theorem would state that if the two outside angles are congruent, the lines that the transversal cuts must be parallel.
The graph indicates that the outer angles are congruent (both equal x) shows that the lines are parallel.
Therefore, the converse of the alternate exterior angle proves that line d is parallel to line e.
Learn more about Alternate Interior Angles here:
brainly.com/question/2125016
#SPJ2
A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening. Two independent samples of 25 weeks are collected for Tuesday and Wednesday. The mean attendance on Tuesday evening is calculated as 5,500, while the mean attendance on Wednesday evening is calculated as 5,850. The known population standard deviation for attendance on Tuesday evening is 550 and the known population standard deviation for attendance on Wednesday evening is 445. Which of the following is the value of the appropriate test statistic?A. z = -2.4736B. z = 2.4736C. tdf=−2.4736D. td f=2.4736
Answer:
A. z = -2.4736
Step-by-step explanation:
n1 = 25
n2 = 25
x1 = 5500
x2 = 5850
Sd1= 550
Sd2 = 445
Null hypothesis
μ1 - μ2 = 0
Alternate
μ1 - μ2 != 0
Pooled variance = ((25-1)*550²)+((25-1)*445²)/25+25-2
= 7260000+4752600/48
= 250262.5
Pooled sd = √250262.5
= 500.26243
Test statistic
Z =
5500-5850+10/500.26243*√1/25+1/25
= -2.47357 approximately
-2.4736
The angle represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then . If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then . In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.
Answer:
the weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching
Step-by-step explanation:
This is the word for word answer but be careful and don´t copy it exactly!! paraphrase the answer using your own words
A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates:__________.Choose one or more:a. The average index of elementary school children must be 60.69.b. The standard deviation of the sample is about 10% smaller than the population standard deviation.c. That if we take many samples from this population 95% of them will have a sample mean between 56.29 and 65.09.d. 95% of all elementary school children in this district have indices between 56.29 and 65.09.e. 4.40 is 95% of the true average of the index for all elementary school children.f. We are 95% confident that the average index for all elementary school children is between 56.29 and 65.09.
Complete Question
A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates:__________.Choose one or more:
a. The average index of elementary school children must be 60.69.
b. The standard deviation of the sample is about 10% smaller than the population standard deviation.
c. That if we take many samples from this population 95% of them will have a sample mean between 56.29 and 65.09.
d. 95% of all elementary school children in this district have indices between 56.29 and 65.09.
e. 4.40 is 95% of the true average of the index for all elementary school children.
f. We are 95% confident that the average index for all elementary school children is between 56.29 and 65.09.
Answer:
The correct option is a and f
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The 95% confidence interval is (56.29, 65.09)
Generally the sample mean(average index of elementary school children) is mathematically represented as
[tex]\= x = \frac{65.09 + 56.29}{2}[/tex]
=> [tex]\= x = 60.69 [/tex]
four ponds of banana cost $2.60. what is the cost perpond?
Answer:
.65c
Step-by-step explanation:
2.60/4 equals .65
Answer:
.65
Step-by-step explanation:
2.06 divided by 4=.65
Hope this helped!
What is 1 1/2 + 3 7/8
5 3/8
Step-by-step explanation:Hi there !
1 1/2 + 3 7/8 =
= (1×2+1)/2 + (3×8+7)/8
= ⁴⁾3/2 + 31/8
= 12/8 + 31/8
= (12 + 31)/8
= 43/8
= 5 3/8
Good luck !
6y-2+x
I need Help Thursday 22 oct
Answer:
x+6y-2 is the simplfied answer
Step-by-step explanation:
"ect the best answer for the question.
- A polygon that has all sides the same measure and all angles the same measure is called what?
Answer:
Regular Polygon
Step-by-step explanation:
A polygon is a plane (two-dimensional) shape with straight sides.
Examples include triangles, quadrilaterals, pentagons, hexagons, etc.
A polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length) is called a Regular Polygon.