Hi There!
The greatest common factor of 10 and 14 is 5 [FALSE]The greatest common factor of 10 and 15 is 5. [TRUE]The greatest common factor 13 and 21 is 3. [FALSE]The greatest common factor of 14 and 21 is 3. [FALSE]Step-by-step explanation:A factor is a number that a number can be evenly divisible by.Example: 5 is a factor of 10, because 10 can be evenly divided by 5.Example #2: 3 is not a factor of 13, because 13 is a prime number, which means it has only 2 factors - 13 and 1.3 is not a factor of 14. The factors of 14 are: 1, 2, 7, 14.5 is not a factor of 14 (reason - above)Hope it helps!Have an awesome day!
[tex]\huge\text{\bf{TheStarryNights}}[/tex] :):)
Find the measure of the three missing angles in the parallelogram below.
Answer: x = 77 degrees, y = 77 degrees, z = 103 degrees
Step-by-step explanation:
Since y and 103 are essentially same side interior angles, they must add up to 180. Therefore, y = 180-103 = 77 degrees.
Opposite angles of a paralellogram are equal.
Therefore, x = y = 77 degrees and z = 103 degrees
The measure of the three missing angles in the parallelogram are,
⇒ ∠x = 78
⇒ ∠ y = 78°
⇒ ∠z = 103°
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The parallelogram shown in figure.
We know that;
By Opposite Angles Theorem,
In parallelogram, The two opposite angles of a parallelogram are equal to each other.
Hence, We get;
⇒ ∠z = 103°
⇒ ∠x = ∠y
And, The sum of all angles in a parallelogram is 360°.
Hence, We get;
⇒ ∠x + ∠y + ∠z + 103° = 360
⇒ ∠x + ∠x + 103 + 103 = 360
⇒ 2∠x + 206 = 360
⇒ 2∠x = 360 - 206
⇒ 2 ∠x = 156
⇒ ∠x = 78
And, ∠ y = 78°
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This composite figure is made up of three simpler shapes. What is the approximate area of the figure? Use 3.14 for it som 8 cm
Answer:
A. 67.12 cm²
Step-by-step explanation:
The rectangle is 3 cm by 6 cm.
area of rectangle = 3 cm × 6 cm = 18 cm²
The triangle has a 6 cm base and an 8 cm height.
area triangle = 6 cm × 8 cm / 2 = 24 cm²
The semicircle has a diameter of 8 cm and a radius of 4 cm.
area semicircle = (1/2)(3.14)(4 cm)² = 25.12 cm²
Add the three areas to find the total area.
18 cm² + 24 cm² + 25.12 cm² = 67.12 cm²
Answer: A. 67.12 cm²
Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track.
Part A
The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function.
1. Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has four intercepts. Kelsey argues the function can have as many as three zeros only. Is there a way for the both of them to be correct? Explain your answer.
2. Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
3. Create a graph of the polynomial function you selected from Question 2.
Part B
The second part of the new coaster is a parabola.
4. Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.
5. Create a graph of the polynomial function you created in Question 4.
Part C
6. Now that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, sketch a design of Ray and Kelsey's coaster that includes the shape of the g(x) and f(x) functions that you chose in the Parts A and B. You do not have to include the coordinate plane. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view.
Part D
7. Create an ad campaign to promote Ray and Kelsey's roller coaster. It can be a 15-second advertisement for television or radio, an interview for a magazine or news report, or a song, poem, or slideshow presentation for a company. These are just examples; you are not limited to how you prepare your advertisement, so be creative. Make sure to include a script of what each of you will say if you are preparing an interview or a report. The purpose of this ad is to get everyone excited about the roller coaster.
Answer:
Part A
1. Third degree polynomial: [tex]f(x) = ax^3 + bx^2 + cx + d[/tex]
The function can have as many as 3 zeroes only, but it can have 4 intercepts if you include the y-intercept.
2. [tex]g(x) = (x + 2)(x - 1)(x - 2) =x^3-x^2-4x+4[/tex]
Zeroes at: x = -2, x = 1 and x = 2
y-intercept at (0, 4)
End behavior:
[tex]x \rightarrow-\infty, f(x) \rightarrow-\infty\\\\x \rightarrow\infty, f(x) \rightarrow\infty[/tex]
3. see attached
Part B
4. [tex]f(x)=(x-2)(x-5)=x^2-7x+10[/tex]
Direction: opens upwards
y-intercept: (0, 10)
zeros: x = 2, x = 5
5. see attached
**unfortunately I am unable to answer any additional questions as Brainly has a 5-question rule**
Answer:
Step-by-step explanation:
Part C: Question 6... join the 2 graphs together to make 1 (see attachment!)
An individual with low income experiences victimization followed by severe depression. The dual effect of low income and victimization is called what
The dual effect of low income and victimization is called
compounding vulnerabilityWhat is Low Income?This refers to the marginally low returns which a person gets as a result of work done over a particular time period.
With this in mind, we can see that when a person earns low income, often he is victimized because he earns so little and as a result of this, such a person can become depressed and this aftereffect is known as compounding vulnerability.
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Neville and his friends are going to a local
peach festival. They plan to go on rides all
day. The tickets for the rides are $0.50 each.
Answer:
okay, how many friends are there?? just take the amount of friends and multiply that by 0.50 and you'll get the total price if that's what ur asking for
Step-by-step explanation:
Add these fractions 5/7 + 2/7 is it to 3 or
Answer:
1
Step-by-step explanation:
5/7+2/7 add the numerator to equal 7/7 simplify to 1/1 equals 1
PLEASE HELP WILL MARK BRAINLIEST: What is the Interquartile range of the set of data this box-and-whisker plot represents?
Answer:
3
Step-by-step explanation:
Lower quartile (xL): 13.5
Upper quartile (xU): 18.5
Interquartile range (xU-xL): 3
Thanks!
Answer:
3 is the interquartile range.
To find interquartile range:
First find the upper quartile.Secondly, find the lower quartileinterquartle range (IQR) : upper quartile(Q3) - lower quartile (Q1)Here:
upper quartile(Q3) = 18lower quartile(Q1) = 15using the formula:
→ 18 - 15
→ 3
How does the economic context of the setting directly affect Miss Bingley’s characterization?
She believes that she is better than Elizabeth, so she speaks poorly of her.
She wants to make a good impression on the guests, so she joins in on the gossip about Elizabeth.
She is accustomed to others agreeing with her, so she begins the conversation about Elizabeth.
She wants to create a divide among the guests, so she gossips about Elizabeth.
Answer:
A: She believes that she is better than Elizabeth, so she speaks poorly of her.
Step-by-step explanation:
EDGE2022 Hope this helps :)
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A craft store has 8 feet of red ribbon. A customer bought 2 5/8
feet of red ribbon. How much red ribbon is left?
Answer:
43/8 feet OR 5.375 feet
Step-by-step explanation:
Initial length of the ribbon = 8 feet
Length of the ribbon the customer bought
= 2 ⅝
= (8 × 2) + 5/8
= 21/8
Remaining length of the ribbon
= 8 - 21/8
= 64/8 - 21/8
= 43/8 feet (in fractional form)
= 5.375 feet (in decimal form)
Hope it helps ⚜
Answer:
5 3/8 or 43/8 feet
Step-by-step explanation:
This question is asking for you to do the subtraction of fractions. To make this question easier, let's turn that mixed number (2 5/8) into an improper fraction. (Important:) So, multiply the denominator (8) by the whole number (2). From there, add the numerator (5) to what you already have. This will become your new numerator for this number, but make sure to keep the denominator the same. So:
2 5/8 = 21/8.
We also need to make the 8 an improper fraction as well, so that it is easier to solve. In order for the subtraction to be easiest, we need to make the 8 have the same denominator as the last improper fraction we created. So:
8 x 8 = 64, which means that (keeping the denominator) 8 = 64/8.
Now we can subtract. Subtract both numerators but keep the denominators.
64/8 - 21/8 = 43/8.
Now we need to turn this back into a mixed number. So, we need to divide the denominator (8) back into the numerator (43). After that, we get 5 with a remainder of 3/8.
I hope that this helps.
(I NEED THE ANSWER) Select the number that would make this statement true: 344 ÷ ________ = 34.4 (3 points)
104
103
102
101
Answer:
The closest would probably be 101
Step-by-step explanation:
What is the volume of the cylinder shown below?
A. 260x cu. units
B. 3380x cu units
C. 169x cu units
D. 5200x cu units
Answer: B
some one already awnsered this
a jar of coins totalingg 4.58 contains 12 qaurters and five nickles. there are twice as any pennies as there is dimes. how many dims are there
Answer: there are 9 dims
Step-by-step explanation:
Which of the following is an example of the Multiplication Property of Zero?
I need help with this please
Answer:
31/100
Step-by-step explanation:
A percentage can be expressed as a fraction by making use of the fact that the % symbol is essentially equivalent to /100.
31% = 31/100
Rey ate 31/100 of the naxvips.
find the area and the circumference of a circle with the radius of 5 cm use the value 3.14 and do not round your answer
Answer:
31.42
Step-by-step explanation:
2πr=2·π·5≈31.41593
Mr miles for $22.50 on rides at the Carnival for his grandchildren each ride costs $1.25 right inside of an equation to find how many rides are you paid for in all
Answer:
22.50/1.25=18
Step-by-step explanation:
if he paid 22.50 in total and each ride cost 1.25 then you would just have to do 22.50 divided by 1.25 which would get you 18
PLEASEEEE HELPPPP!!!!
Given the m∠5 = 45°, find the measure of ∠8.
Question 1 options:
35°
45°
135°
145°
Answer:
(c) 135°
Step-by-step explanation:
Angles 5 and 8 form a linear pair, which means they are supplementary: their measures total 180°.
∠8 = 180° -∠5 = 180° -45°
∠8 = 135°
Lynn needs to save up $20 for a new game. How much money does she have if she has saved each percentage of her goal 25%, 75%,125%
$50
25% of 20 is $5
75% of 20 is $15
125% of 20 is $25
25
15 +
5
___
50
___
I don't know the answer and I need it quick!!
Answer:
The first one. The single line
Step-by-step explanation:
I can explain later but since you need it quick I will send my answer now :3
Further explanation:
A function is only a function if there are two x values to a single y value.
You can use the "vertical line test" to find out if a function is a function or not.
The vertical line test is where you put a line vertically through the function.
If at any point along the vertical line the function touches the line more than once, then it is not a function.
Answer:
the first one the one that looks like a line it passes the virtical line test
Step-by-step explanation:
Help me
What is the difference between the longest and shorter distance the gliders flew.
did more gliders fly farther or shorter than 35 feet?explain
Pls help with both questions
Answer:
The difference between the longest and shortest gliders is 6.
More gliders flew shorter than 35 feet because there is 12 dots behind 35 and only 8 in front of it.
the area of a triangle is 6 and 3/8 square yards. The height of the triangle is 2 and 1/2 yards. What is the length of the base of the triangle? pls help this is a important question
Solution:
Note that:
Area of triangle = 6 3/8 yd²Height of triangle = 2 1/2 Area of triangle = 1/2 x base x altitudeUse the formula to find the base of the triangle.
1/2 x base x altitude = 6 3/8 yd²=> 1/2 x base x 2 1/2 = 6 3/8 yd²=> 1/2 x base x 5/2 = 6 3/8 yd²=> 5/4 x base = 6 3/8 yd²=> base = 6 3/8 ÷ 5/4 yd=> base = 51/8 x 4/5 yd=> base = 51/2 x 1/5 yd=> base = 51/10 ydThe length of the base is 51/10 yards.
[tex]\large{|\underline{\mathtt{\red{G}\blue{i}\orange{v}\pink{e}\blue{n}\purple{}\green{}\red{↯}\blue{}\orange{}}}}[/tex]
Area of triangle = 6 3/8 yards²Height of triangle = 2 1/2 yards[tex]\large{|\underline{\mathtt{\red{T}\blue{o}\orange{\:}\pink{F}\blue{i}\purple{n}\green{d}\red{↯}\blue{}\orange{}}}}[/tex]
Base of triangle = ?[tex]\large\underline{\underline{\maltese{\blue{\pmb{\sf{\: Explanation :-}}}}}}[/tex]
[tex] \boxed{\mathfrak{area = \frac{1}{2} \times base \times height}}[/tex]
We are already given the values, Let's plug them and solve for x i.e base
[tex] \bf\: 6 \frac{3}{8} = \frac{1}{ \cancel2} \times x \times \cancel2 \frac{1}{2} [/tex]
[tex] \bf \: 6\frac{3}{8} = x \times \frac{1}{2} [/tex]
Convert the mixed number to an improper fraction
[tex] \bf \: \frac{51}{8} = \frac{1}{2} x[/tex]
Multiply both sides of the equation by 2
[tex] \boxed{ \tt \: x = \frac{51}{4} }[/tex]
➪ Therefore, The base of the triangle is 51/4 yards...~
Solve on the interval (0,2pi)
3 cscx-1=2
Answer:
It is pi/2
Step-by-step explanation:
In a company's first year in operation, it made an annual profit of $171,000. The profit of the company increased at a constant 33% per year each year. How much total profit would the company make over the course of its first 29 years of operation, to the nearest whole number?
Answer:
total profit = $2,023,338,517 (nearest whole number)
Step-by-step explanation:
Use geometric sum formula:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
where [tex]a[/tex] is the initial value and [tex]r[/tex] is the common ratio
We have been told that the initial value is 171000, so [tex]a=171000[/tex].
If the company's profit increases by 33% per year, this means each year's profit is 133% of the previous year's profit. 133% = 133/100 = 1.33
Therefore, [tex]r = 1.33[/tex]
We need to calculate the total profit earned over 29 years, so [tex]n = 29[/tex]
Inputting these values into the formula:
[tex]\implies S_{29}=\dfrac{171000(1-1.33^{29})}{1-1.33}=\$2,023,338,517 \ \textsf{(nearest whole number)}[/tex]
The function f(x) = –(x – 3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of the length of the rectangle, x. What is the maximum area of the rectangle?
3 square units
6 square units
9 square units
12 square units
Answer:
9
Step-by-step explanation:
Option C is correct, the maximum area of the rectangle is 9 square units.
What is Area of Rectangle?The area of Rectangle is length times of width.
The equation f(x) = –(x – 3)² + 9 can be used to represent the area of a rectangle with a perimeter of 12 units.
We can determine the maximum area of the rectangle by finding the maximum value of the function.
To find the maximum, we take the derivative of the function and set it equal to zero, then solve for x.
f'(x) = -2(x - 3) = 0
x = 3
When x = 3, the maximum area of the rectangle is 9 square units.
Hence, the maximum area of the rectangle is 9 square units, Option C is correct.
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What is 38:46 in simplest form
Answer:
19:23 or 19/23
Step-by-step explanation:
Divide 38 and 46 by 2 and then you will get your equivalent ratio. Since 19 and 23 are prime numbers, you can simplify any further.
1. A criminologist is interested in determining whether prison terms differ for white and
black defendants convicted of burglary. She selected at random 18 records of burglary
convictions and compared the prison terms for the 10 white convicts and 8 black convicts
in the sample. The sentence lengths (in years) are shown in the table below. Using these
data, test the null hypothesis at the .01 a level that white and black defendants convicted
of burglary do not differ in sentence length.
The hypothesis is a two-sided test, because the distribution is two-sided and if a sample is greater than or less than a range of values.
How to explain the hypothesis?From the complete information, the null hypothesis is that whites and blacks convicted of burglary in this jurisdiction do not differ with respect to prison sentence length.
The alternate hypothesis is that whites and blacks convicted of burglary in this jurisdiction differ with respect to prison sentence length.
Also, the hypothesis is a two-sided test, because the distribution is two-sided and if a sample is greater than or less than a range of values.
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Let \[f(x) = (x-1)(x-3)(x+5) + 72.\] Find the sum of all values of $x$ such that $f(x) = 72$.
Answer:
Step-by-step explanation:
f(x) = (x-1)(x-3)(x+5) + 72
if f(x) = 72, then
(x-1)(x-3)(x+5)=0
do
x-1=0, x=1
x-3=0, x=3,
x+5=0, x=-5
Answer:
x = 1, 3, -5
The values of x are 1, 3, and 5. Then the sum of the values of the x will be 1 + 3 + 5 = 9
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function is given as below.
f(x) = (x – 1)(x – 3)(x + 5) + 72 ...1
And
f(x) = 72 ...2
From equations 1 and 2, we have
(x – 1)(x – 3)(x + 5) = 0
The value of x will be
x = 1, 3, and 5
The sum of the values of the x will be
⇒ 1 + 3 + 5 = 9
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What is the equation of the line that passes through the point (1,2) and (5,2)
Answer:
y=2x
Step-by-step explanation:
Please dont delete BrainlyPatrol
Ok first to solve you have to find m by using point slope form:
y^2-y1=m(x)x^2-x^1
2-2=0
5-1=4
