Answer:
Step-by-step explanation:
Instead, you will use diagrams. To solve such a problem, you must produce a diagram which clearly shows all of the fractions involved in the ... between them have eaten five of the pieces, they have eaten 5/6 of the cake. We also see that ... counting numbers with M<N), then you must show the thing, show it clearly.
Write a polynomial f(x) that satisfies the given conditions.
Polynomial of lowest degree with zeros of
(multiplicity 2) and
(multiplicity 1) and with f(0) = -1.
Can someone do this?
Answer:
[tex] f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1 [/tex]
Step-by-step explanation:
Recall, if we have a polynomial of the form [tex](x-a)^k \cdot (x-b)^m[/tex], then we say that a is a zero of multiplicity k and b is a zero of multiplicty m. For example, in the polynomial of the form [tex](x+5)^10(x-2)^3[/tex] -5 is a zero of multiplicity 10 and 2 is a zero of multiplicity 3. If we want to know the degree of the polynomial, just add the multiplicity of both zeros (13 in our example).
In this case, we know that the degree of our polynomial should be at least 3(multiplicity 2 and multiplicity 1). So, lets take the polynomial of the form
[tex]f(x)=(x-a)(x-b)^2)[/tex].
In here, a is a zero with multiplicity 1 and b is a zero with multiplicity 2. We are also given that
[tex] f(0) = -1 = (0-a)(0-b)^2 = -a\codt b^2[/tex].
Which implies that [tex] 1 = a\cdot b^2[/tex]. Since the square of any number is a positive number, it must happen that a>0. So, we have that
[tex]b= \pm \sqrt[]{\frac{1}{a}}[/tex].
We can choose any value of a and solve for b. Let us choose a=4. So we can have b=1/2 or b=-1/2. Let's use b=1/2. So our polynomial would be
[tex] f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1 [/tex]
which we can easily check that f(0)=-1.
Veronica surveyed her classmates about which types of pets they own. The graph shows her data.
A circle graph titled Pets. 32 percent is dogs, 26 percent is cats, question mark is fish, 13 percent is lizards, 18 percent is no pet.
Something is missing. Veronica found the percentages of her classmates who have dogs, cats, and lizards, but she has not calculated the percentage who have fish.
What percent of her classmates own fish?
Answer:
11% own fish
Step-by-step explanation:
find the sum of−2 5/10 and−5 4/15. then, in two or more complete sentences, explain the steps you used to add the mixed numbers.
Answer:
- 7 23/30
Step-by-step explanation:
-2 5/10 + -5 4/15
First simplify the fractions if possible
-2 1/2 + -5 4/15
Then, we need to get a common denominator
The common denominator in this case is 30
-2 1/2*15/15 + - 5 4/15*2/2
-2 15/30 + -5 8/30
Since the signs are alike we add
First the whole numbers
2+5 =7
Then the fractions
15/30+8/30 = 23/30
Add the fraction and the whole number together
7 23/30
Take the sign
- 7 23/30
If the fraction was improper, we would change it to a mixed number and add the whole numbers together
Final answer:
To find the sum of −2 5/10 and −5 4/15, convert them to improper fractions, find a common denominator, add them with the negative signs, and simplify if needed, resulting in −7 23/30.
Explanation:
To find the sum of −2 5/10 and −5 4/15, we first convert the mixed numbers into improper fractions. The first step is to add the whole numbers together, and then add the fractions separately.
Since both numbers are negative, when we add them, the answer will also have a negative sign, following the rule that when two negative numbers add, the answer has a negative sign. We find the common denominator for the fractions, which in this case is 30, and convert them accordingly. After adding the converted fractions, we simplify the result if possible.
To illustrate, for the whole numbers: −2 + (−5) = −7. For the fractions: −(5/10 × 3/3) + −(4/15 × 2/2) = −(15/30) + −(8/30) = −(23/30). Thus, the sum is −(7) − (23/30) or −7 23/30.
1. What is the center and radius of the circle?
(x-4)² + (x-7) ² - 49
Answer:
Center at (4, 7) and radius is √49, or 7
Step-by-step explanation:
Didn't you mean (x-4)² + (y-7) ² = 49?
Comparing (x-4)² + (y-7) ² = 49
to (x - h)^2 + (y - k)^2 = r^2, we see that the center is at (h, k) => (4, 7) and that the radius is √49, or 7.
Subtract:
88 – (–35)
Question options:
A)
–53
B)
–123
C)
53
D)
123
Answer:
it's answer is D 123
Step-by-step explanation:
Here
88 - ( -35)
When it comes our of bracket - *- = +
So
88 + 35
= 123
Hope it will help you :)
Answer:
D ) 123
Step-by-step explanation:
88 – (–35) =
= 88 + 35
= 123
What is the measure of arc RS?
Answer:
60°, D
Step-by-step explanation:
(140-x)/2=40
140-x=40×2=80
x=140-80=60°
Mary is creating valentine’s Day card for her friends and can choose from white,red,or pink construction paper to create a heart.On the heart she can use a black blue or green marker to write out her message and she can’t finish the valentine by sprinkling gold or silver glitter.Wh is the probability that her valentine to her friend will be on either red or pink construction paper with. black market and gold glitter?
Answer:
(1/9)
Step-by-step explanation:
Mary can choose from white,red,or pink construction paper to create a heart.
And she can use black, blue or green marker to write out her message and she can’t finish the valentine by sprinkling gold or silver glitter.
The probability that her valentine to her friend will be on either red or pink construction paper with black marker and gold glitter.
The probability that she uses red or pink construction paper = (2/3)
(since red or pink are two out of the total 3 sample spaces available for construction paper)
Probability that she uses black marker = (1/3)
(Black is one of the 3 sample spaces for markers)
Probability that she uses gold glitter = (1/2)
(Gold glitter is one of two sample spaces for glitters)
The required probability is then
(2/3) × (1/3) × (1/2) = (1/9)
Hope this Helps!!!
PlEASE HELP PRONTO WIL GIVE BRANLIEST!!!
Kevin drew a picture of a house and then built a model. The x-axis shows the size of different segments in the drawing, and the y-axis shows the size of the same segments in the model.
Write an equation showing the relationship between x and y.
A) y = 2x
B) y = x + 2
C) y = x + 3
D) y = 1/2x
Answer:
(A) y = 2x
Step-by-step explanation:
hope this helps
In the figure below, BD and EC are diameters of circle P. What is the arc measure of AE in degrees?
Pls helppp
Answer:
27°
Step-by-step explanation:
Since BD is a diameter then arc BD = 180°
∠ APE = 180° - (90 + 63)° = 180° - 153° = 27°
The measure of the arc AE is equal to the angle at the centre subtended by it.
arc AE = ∠ APE = 27°
Abe creates a scatter plot showing students' ages on the x-axis and their heights on the y-axis. Which type (1 point)
of trend will the scatter plot show?
М.
a linear trend
a positive trend
a negative trend
no trend
The trend will be positive because as the students get older their heights tend to get taller.
Answer:
B
Step-by-step explanation:
As students grow older, they will naturally grow taller because their bodies are developing and maturing. This means that as the values on the x axis increase, the values on the y axis will also increase.
The result of these type of correlation is that there will be a line increasing to the right. This is known as a positive trend.
Hope this helps!
Can more than one triangle be drawn with two side lengths of 6 inches and a nonincluded angle of 60°? Explain?
Answer:
No This is an unique triangle.
Step-by-step explanation:
Given that:
Two side lengths of 6 inches=> it is an isosceles triangle
According to the property of an isosceles triangle, the measurements of the two non-included angle are equal.
In this situation, a non included angle of 60°=> This is an equilateral triangle because the two non-included angles and include angle ( 180° - 2 *60°) are 60° .
This is an unique triangle.
Answer:No because you cannot form another triangle out of it. It only makes 1 shape.
Step-by-step explanation:
a) Convert 30 inches to centimetres.
centimetres
Answer:
76.2
Step-by-step explanation:
You can use a table like the one I have attached! :)
If g^2+1/g^2=51, find the positive value of g-1/g
Answer:
7
Step-by-step explanation:
Note that
(g - [tex]\frac{1}{g}[/tex] )² = g² - 2 + [tex]\frac{1}{g^2}[/tex] = 51 - 2 = 49
Take the square root of both sides
g - [tex]\frac{1}{g}[/tex] = [tex]\sqrt{49}[/tex] = 7 ← the positive value
Find the equation of the line.
Use exact numbers.
y=___x+_____
most of the values are blank the mean ?
The mode is the value that appears most often in a data set. It is a measure of central tendency and is especially useful for describing categorical data or discrete sets. The correct answer is B. mode.
The mode, denoted as B in the options, is the value that occurs most frequently in a given data set. It is a statistical measure used to describe the central tendency of a dataset.
Unlike the mean, which calculates the average, and the median, which identifies the middle value, the mode focuses on the most recurring value. This is particularly helpful in analyzing categorical or discrete data. A dataset may have one mode (unimodal), more than one mode (multimodal), or no mode if all values occur with the same frequency.
Therefore, the mode is a valuable tool for understanding the distribution and characteristics of a dataset. (option B)
The complete question is:
The ____ is the value that appears most often in a data set.
A. mean
B. mode
C. median
D. range
A contractor has $3,285 to spend for doors and hammers. Doors cost $75 each. He bought the greatest number of doors that he could buy. He will use the money he has remaining to buy hammers that cost $15 each. What is the greatest number of hammers the contractor can buy with the money he has remaining?
Answer:
4 hammers
Step-by-step explanation:
step 1
Find out the greatest number of doors that the contractor could buy
Divide the total amount by the cost of each door
so
[tex]\$3,285/\$75=43.8[/tex]
That means ----> The greatest number of doors that the contractor could buy are 43
step 2
Find the remaining money
The remaining money is equal to
[tex]3,285-43(75)=\$60[/tex]
step 3
Find the greatest number of hammers that the contractor can buy with the remaining money
Divide the remaining money by the cost of each hammer
[tex]\$60/\$15=4\ hammers[/tex]
|
Find the amplitude and period of f(t)= 1/2sin3t
Answer:
Step-by-step explanation:
hello :
note : y = A sin(Bt + C) + D
• amplitude is A
• period is 2π/B
in this exercice : f(t)= 1/2sin3t
amplitude is A =1/2
period is 2π/3
PLEASE HELPPPP!!!!!
Daniel wants to rent a two-bedroom apartment in Red Pines. The
apartment has a monthly rent of $1,100. He must pay an application fee
which is 2% of 1 month's rent, a credit application fee of $ 10, and a
security deposit of 1 month's rent. First month's rent is expected to be paid
up front. The broker charged a fee of 7% of 1 year's rent. How much is
Daniel expected to pay before he can move into the apartment?
Determine which equation is belongs to the graph of the limacon curve below.
[-5,5] by [-5,5]
a.
r = 4 + cos(theta)
c.
r = 3 + 2 cos(theta)
b.
r = 2 + 3 cos(theta)
d.
r = 2 + 2 cos(theta)
Please select the best answer from the choices provided
A
B
C
D
Answer:
c. r = 3 + 2 cos(theta)
Step-by-step explanation:
At θ = 180°, the value of r is positive, but just a fraction of the value at θ = 0°. This eliminates choices 'b' and 'd'.
Choice 'a' would give r=3 and r=5 for those two cases, but the ratio of left extent to right extent looks smaller than 3/5. A graph of choice 'c' shows it matches the given figure.
Answer:
c. r = 3 + 2 cos(theta)
Step-by-step explanation:
Amy printed a square picture that was 225% the size of the original picture. The length of the side of her original picture was 4 inches. Choose True or False for each statement.
Answer:
because i cant see the true or false parts i can help by giving some basic answers
Step-by-step explanation:
the new length is 9 in. (4 x 2.25=9, change the percent to a decimal)because it is a square the area of the original is 16 in.^2 and the new area is 91 in.^2you change the percent to a decimalif there are more true or false parts to this question please leave a comment with them so i can hopefully answer them.
Final answer:
Amy's printed picture, which is 225% the size of the original picture with a 4-inch side, would have a new side length of 9 inches, making it larger than the original. The statements truthfully state that the picture is larger and the size scale is 2 ¹/₄ in terms of the sides, but the area would be scaled by the square of the side scale factor.
Explanation:
When Amy prints a square picture at 225% of the original size, and the original picture has a side length of 4 inches, then the new side length can be determined by calculating 4 inches × (225/100). The correct calculation for the side length of Amy's printed picture should be 4 inches × 2.25 (or 225%) which equals 9 inches.
Therefore, the statements should be evaluated as follows:
Amy's printed picture is larger than the original picture. - TrueThe length of the side of Amy's printed picture is 2 ¹/₄ inches. - False, since the correct side length is 9 inches.Amy's printed picture is 22.5 times the size of her original picture. - False, the size in terms of area scales with the square of the scale factor.Amy's printed picture is 2 ¹/₄ times the size of her original picture. - True, if considering the scale factor of the sides, but in terms of area, it would actually be (2.25)² times the original size.What is the slope of the line shown?
a. slope = 2
b. slope= 1/2
c. slope = -1
d. slope= 1
Answer:
the answer is b, 1/2.
Step-by-step explanation:
1-0 divided by 4-2 is 1/2
Help please.Round to the nearest hundredths
Answer:
2637.00 cubic feet
Step-by-step explanation:
Given object is a hemisphere:
Volume of hemisphere is given as:
[tex]V = \frac{2}{3} \pi {r}^{3} \\ \\ =\frac{2}{3} \times 3.14 \times {(10.8)}^{3} \\ \\ = \frac{2}{3} \times 3.14 \times 1,259.712\\ \\ = \frac{2}{3} \times3,955.49568 \\ \\ = \frac{7,910.99136}{3} \\ = 2,636.99712 \: {ft}^{3} \\ = 2637.00\: {ft}^{3} [/tex]
Simplify (-2x^4y^2)^3
Final answer:
The expression (-2x⁴y²)³ simplifies to -8x¹²y⁶, by individually raising the coefficient and each variable to the third power.
Explanation:
To simplify the expression (-2x⁴y²)³, you must raise both the numerical coefficient and the variables to the third power. Remember that raising a power to a power multiplies exponents and raising a negative number to an odd power results in a negative number.
First, raise -2 to the third power: (-2)³ = -8Then raise x⁴ to the third power: (x⁴)³ = x¹²Lastly, raise y² to the third power: (y²)³ = y⁶Putting it all together, the expression simplifies to -8x¹²y⁶.
What’s the answer?
^^^^^^^^^^^^^^
(PLEASE ANSWER NOW)
Hey there!
Solving for equation: y = 9x + 2
Replace (for now) 9x + 2 for y in the equation: y = 3x + 12
y = 3x + 12
↪ 9x + 2 = 3x + 12
ADD by -3 on both of your sides
9x + 2 + (-3x) = 3x + 12 + (-3x)
If you solved that correctly you should get: 6x + 2 = 12
ADD by -2 on both of your sides
6x + 2 + (-2) = 12 + (-2)
Cancel out: 2 + (-2) because it gives you 0
Keep: 12 + (-2) because it helps us solve for our x-interpret
12 + (-2) = 10
NEW EQUATION: 6x = 10
DIVIDE by 6 on your sides
6x/6 = 10/6
Cancel out: 6x/6 because it gives you 1
Keep: 10/6 because it helps us solve for our x-intercept
10/6 = 10÷2/6÷2 = 5/3
Thus our x = 5/3
Solving for y = 9x + 2
Replace x with 5/3 since we found our x
y = 9(5/3) + 2
9(5/3) = 15
15 + 2 = 17
Thus our y = 17
Overall answer: a = 5/3 & y = 17 ✅ (Option D)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
A rectangle is 28 centimeters long and 9 centimeters wide.
What is the perimeter of this rectangle?
37 cm
56 cm
65 cm
74 cm
Answer:
74cm
Step-by-step explanation:
(28×2)+(9×2)
Brainliest would be appreciated
Answer:
74cm
Step-by-step explanation:
To work this out you would add all the lengths of the sides together.
1) Multiply 28 by 2.
[tex]28*2=56[/tex]
2)Multiply 9 by 2.
[tex]9*2=18[/tex]
3) Add 18 to 56.
[tex]18+56=74[/tex]
need help ASAP I don't understand this....will mark brainliest
Answer:
C
Step-by-step explanation:
All parabolas (U shaped graphs) have domains of All Real Numbers
Answer:They y axis runs up and down so on the verticle lind where is says -2 plotthe point.
Step-by-step explanation:
Help plz plz plz plz plz plz
Answer:
2
6
11
102
Step-by-step explanation:
1^2+2=2
2^2+2=6
3^2+2=11
10^2+2=102
Answer:
brainly have anything and everything that you need just ask the question and it will give the answer that they have
Step-by-step explanation:
What does a machine change to make work easier? Select three options.
the amount of work done
the amount of force applied
the time needed to do the work
the direction of a force
the distance over which a force is applied
Answer: the amount of force applied
The direction of a force
The distance over which a force is applied
The machine will work easier when force, the direction of the force and the displacement increased. Options B, D, and E are correct.
What is Work?It is defined as the transfer of energy from one object to the other.
The work is equal to the product applied Force and the displacement.
The formula of the work is,
W = Fs
Where
W = work
F = force
s = Displacement
Therefore, the machine will work easier when force, the direction of the force and the displacement increased.
Learn more about work here:
brainly.com/question/13063512
#SPJ2
*********PLEASE I NEED HELP ********
IN 1,2,3
a and b are positive integers and a−b = 2. Evaluate the following:
4^(1/2a) / 2^b
Answer:
4
Step-by-step explanation:
4^(1/2a)/2^b
[tex]\frac{4^{\frac{1}{2} a} }{2^b}\\=\frac{(2^{2})^{\frac{1}{2}a} }{2^b}\\=\frac{2^{2 \times \frac{1}{2}a } }{2^b} \\=\frac{2^a}{2^b} \\=2^{a-b} \\=2^2\\=4[/tex]