Answer:
n = 220, 4, -4, -220
Step-by-step explanation:
factors of 17: 17, 1, -1, -17
13 is prime number: 13 x 1 = 13
(ax+b)(cx+d) = axcx+axd+bcx+bd
(x + 17)(13x - 1) = 13x^2 + 220x - 17, n = 220
(x - 17)(13x + 1) = 13x^2 - 220x - 17, n = -220
(x + 1)(13x - 17) = 13x^2 - 4x - 17, n = -4
(x - 1)(13x + 17) = 13x^2 + 4x - 17, n = 4
Find the length of x
. Assume the triangles are similar.
Answer:
44
Step-by-step explanation:
the smaller triangle is multiples of 9
(9, 18, 27, 36, 45, etc.)
and the bigger triangle is multiples of 11
(11, 22, 33, 44, 55, etc.)
Answer:
44
Step-by-step explanation:
22÷18=11/9
33÷27=11/9
x÷36=11/9
x=11/9×36
x=44
HELPP
3. Divide the following polynomials using the long division model: (4x^4 - 5x^2 + 2x^2 - X+5) = (x^2 + x+1).
Part I: Express this problem using the standard format for a problem of dividend - divisor divisor) dividend (2 points)
Part II: Use this checklist to proceed through this problem: (8 points)
• How many times does x2 go into the largest term in the problem?
* write the value on top of the problem and multiply that value by x^+x+1
*write the product below the lowest line on your work and subtract if from what reminds in the problem
*continue this process until you fab no longer divide x^2 into what reminds in the problem
*include your remainder in the final answer
Answer:
[tex]\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1} = 2 \cdot x^2 - 9 \cdot x + 7 \ Remainder \ (x - 2)[/tex]
Step-by-step explanation:
Part I
The problem can be expressed as follows;
The dividend is 4·x⁴ - 5·x³ + 2·x² - x + 5
The divisor is x² + x + 1
[tex]\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1}[/tex]
Part II
The number of times x² goes into the larest term, 4·x⁴ = 4·x² times
2·x² - 9·x + 7
[tex]\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1}[/tex]
4·x⁴ + 4·x³ + 4·x²
-9·x³ - 2·x² - x + 5
-9·x³ - 9·x² - 9·x
7·x² + 8·x + 5
7·x² + 7·x + 7
x - 2
Therefore, we have;
[tex]\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1} = 2 \cdot x^2 - 9 \cdot x + 7 \ Remainder \ (x - 2)[/tex]
find out 6 rational numbers between 3 and 4
Answer:
22/7, 23/7, 24/7, 25/7, 26/7, and 27/7.
Step-by-step explanation:
plz give me fast answer
I don't need a language ABC
Answer:
yes
Step-by-step explanation:
Answer:
?
Step-by-step explanation:
A car accelerates from rest at 1.0 m/s2 for 20.0 seconds along a straight road. It then moves at a constant speed for half an hour. It then decelerates uniformly to a stop in 30.0 s. Find the total distance covered by the car.
HELP
Answer:
50m
Step-by-step explanation:
speed (m/s2) = distance (m) ÷ time (s)
distance = speed (m/s2) x time (s)
1x20 =20m.
30s = 30m because they do 1 meter per second (every second)
50m in total if not counting the constant for half a hour.
The Bui family consists of 2 adults and 3 children. They spent $36 for zoo tickets. The equation 2x + 3y = 36 describes the cost for x adult tickets and y child tickets. Part of the equation is graphed below. What is the y-intercept?
On a coordinate plane, a line goes through points (6, 8) and (12, 4).
(0, 12)
(0, 18)
(12, 0)
(18, 0)
Answer: (0, 12)
Step-by-step explanation:
2x + 3y = 36
2(0) + 3y = 36
3y = 36
3/3 36\3
= 12
On edge
Answer:
a
Step-by-step explanation:
6.05kg, expressed in kilograms and grams
Answer:
6.05 kg, 6050 grams
Step-by-step explanation:
The kilograms were already given in your question, so that's one half done.
1 kilogram is equivalent to 1000 grams. If we multiply 6.05 by 1000, then you get 6050, the measurement in grams.
Find the measure of one interior angle for the following regular polygon
Answer:
108 degrees
Step-by-step explanation:
The formula for the total sum of the angles in any REGULAR shape is
[tex](n-2) * 180[/tex], where n represents the number of sides.
The shape in the picture shown is a pentagon (5 sides).
[tex](5-2) * 180\\[/tex]
[tex]3 * 180[/tex]
= [tex]540[/tex]
So the angle sum is 540 degrees.
Again, we are told that it is a regular polygon, meaning all sides and angles in the shape are equal.
So to find one angle, just divide it by the number of sides.
[tex]540/5 = 108[/tex]
Answer: 108 degrees
Step-by-step explanation:
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PLEASE ANSWER!!!!!!!!! FASTEST GETS BRAINLIEST
what is the period of the graph of y=5 sin (pi(x)+4
Answer:
Step-by-step explanation: Hope this helps
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 3 kg weighs 30 N. Find the weight of an object whose mass is 5 kg
Answer:
[tex]50 N[/tex]
Step-by-step explanation:
To help us find our answer, we need to use Newton's Second law
[tex]F = m \times a[/tex]
Where F is the force (N), m is the mass (Kg) and a is the acceleration (m/s^2, on a planet this would just be the gravity)
So if we know that a person has a mass of 3Kg and weighs 30N, the acceleration (or the gravity on that planet is)
[tex]30 = 3 \times a\\a = 10 m/s^2[/tex]
Now that we know the acceleration we can easily find the weight of the person.
[tex]F = 5 * 10 = 50 N[/tex]
Find the value of x.
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You continue to work on a
paper that you started many days ago. If you work from 8:10pm to 9:35pm, find the
measure of the angle, in radians, that the minute hand travelled during this time.
- 510 degrees
- 180 degrees
- 630 degrees
- 210 degrees
Answer:
510°
Step-by-step explanation:
Total Time from 8:10pm to 9:35pm is 1hour 25mins= 85mins
Movement of the minute hand from one point around the clock and back to the same point gives a complete rotation of 360°
if 60mins = 360°
85mins=
[tex] \frac{85}{60} \times 360[/tex]
= 510 degrees
a senior one student has reported in her class and has settled at her desk the math teacher has asked her to explain how she can access her seat
Answer:
she can sit
Step-by-step explanation:
which of the answers is correct
Answer:
Option C, sin Y = 38/63
Step-by-step explanation:
sin Y = Opposite/Hypotenuse
sin Y = 38/63
Answered by GAUTHMATH
A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.20 meters per week. After 7 weeks, the sheet is only 2.42 meters thick. Let y represent the ice sheet's thickness (in meters) after x weeks.
Complete the equation for the relationship between the thickness and number of weeks.
Answer:
Step-by-step explanation:
We know that the thickness of the lake decreases at a rate of 0.2 meters per week, so we can write:
S(t)=-0.2t+4
we also know that after 7 weeks, the sheet is only 2.42 meters thick, which means we can write:
S(7)=2.42
S(7)=-0.2*7+X
S(7)=-1.4+X
2.42=-1.4+X
X=3.82
So, the function is: S(t)=--0.2*t+3.82
Answer:
y = 3.8 - 0.2x
Step-by-step explanation:
Khan Academy
Determinar la altura de una antena que, A cierta hora del día,Arroja una sombra de 2.85 m, En ese preciso momento Marta que Mide 1.65 m Proyecta una sombra de 1.16 m
Answer:
La altura de la antena es 4.054 metros.
Step-by-step explanation:
La altura del objeto es perpendicular a la longitud de la sombra, tanto el triángulo rectángulo de la antena como el triángulo rectángulo de Marta son semejantes. La altura de la antena se determina mediante la siguiente relación:
[tex]\frac{h}{l} = \frac{H}{L}[/tex] (1)
Where:
[tex]h[/tex] - Altura de Marta, en metros.
[tex]l[/tex] - Longitud de la sombra de Marta, en metros.
[tex]L[/tex] - Longitud de la sombra de la antena, en metros.
[tex]H[/tex] - Altura de la antena, en metros.
Si sabemos que [tex]h = 1.65\,m[/tex], [tex]l = 1.16\,m[/tex] y [tex]L = 2.85\,m[/tex], entonces la altura de la antena es:
[tex]H = h\cdot \left(\frac{L}{l} \right)[/tex]
[tex]H = 1.65\,m \times \left(\frac{2.85\,m}{1.16\,m} \right)[/tex]
[tex]H = 4.054\,m[/tex]
La altura de la antena es 4.054 metros.
Please solve these radical equations and show the steps so that I can understand them. In my notes, it says the steps are to Isolate the radical, square both sides, solve for the variable, and check for the extraneous solutions so if this is what you are supposed to do please show these steps in action. Thank you for your time.
Answer:
1) X = 0
2) X = 0 or X = 1
Step-by-step explanation:
1)
[tex] \sqrt{6x} + 9 + 2 = 11 [/tex]
6x = 0 since root can only be = 0 if radicand is 0
X = 0
2)
[tex] \sqrt{x} - 3 + 3 = x[/tex]
[tex] \sqrt{x} = x[/tex]
X = x^2 ( We are squaring both sides to simplify)
x-x^2 = 0
x (1-x) = 0 (Factor the expression)
X = 0 or
1 -x = 0
X = 1
Answered by Gauthmath
Find the principle that yields and interest of Rs.2240 at the rate of 10% p.a. in a years 6 months.
Step-by-step explanation:
I=PRT/100
p=I/RT×100
p=2240/10×2×100
p=11200
How do you find the radius??
Step-by-step explanation:
According to the fundamentals of Mathematics, as well as corresponding mathematical principles, encompassing trigonometry, are acknowledged to provide the intergenerational definitions for subsequent generations.
Thus far, the radius is equated to half the diameter.
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Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:
Position Open Side Up Closed Side Up Landing on Side
Number of Times Landed in Position 1 5 44
Based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). Show your work.
Answer:
Closed side up : 5/50
1/50 = open side up
44/50 = landing side
experimental probablity Formula:
no. of times event was conducted/ Total no. of times experiment was conducted.
Let's first start with open side up.
No. times it was conducted was 1.
Total no times experiment conducted: 50 times
1/50 = open side up
Closed side up
No. times it was conducted was 5
Total no times experiment conducted: 50 times
5/50
The same for landing on side :
44/50
Have a wonderful day!!
The experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side) is given as:
[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.
For the given case, if we name the events for results of tossing of paper cup as:
A = Event of getting open side upB = Event of getting close side upC = Event of that cup landing on sidesThen, as it is given that:
Number of times paper cup was tossed = 50
Number of times A occurred = 1Number of times B occurred = 5Number of times C occurred = 44Thus, their experimental probabilities are obtained as:
[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]
Learn more about experimental probability here:
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using trig to solve for missing angles
Answer:
? = 32.20422
Step-by-step explanation:
We know the adjacent side and the hypotenuse
cos ? = adj / hyp
cos ? = 33/39
cos ? = 11/13
Taking the inverse cos of each side
cos ^ -1( cos ?) = cos^-1(11/13)
? = 32.20422
Which function is the inverse of h(x) = 18x+7/3 ?
Question 10 options
Answer:
Out of those choices, the answer in the first image makes the most sense
Write equations for the vertical and horizontal lines passing through the point (5,-9).
Answer:
the vertical line is:
x = 5
The horizontal line is:
y = -9
Step-by-step explanation:
A vertical line has a fixed x-value, while a horizontal line has a fixed y-value.
Then we can write a vertical line as:
x = a
and a horizontal line as
y = b
Then, if we want a vertical line that passes through the point (5, -9), remember that the x-vale will be fixed, then we fix the x-value at the same x-value of the point, which we know that is 5, then the vertical line that passes through the point (5, -9) is:
x = 5
While the horizontal line that passes through the point (5, -9) will be a line with the y-value fixed at the y-value of the point, which we know is -9
Then the horizontal line is:
y = -9
If you have the time mind helping me on this
you can go for option g cause ans is 14:5
so i have this problem for my credit recovery can anyone please help me Eight people were asked what the balance of their savings account at the beginning of the month was and how much it increased or decreased by the end of the month.
Create a scatter plot that represents the data that is shown in the table. The x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the savings account in hundreds of dollars.
Answer:
scatter plots are simply putting the data as a dot where it belongs based on in the situation the x-axis being balance in thousands and y axis for the change in savings account in hundreds.
Step-by-step explanation:
place a dot where each value given for each person x,y. it will look scattered.
just took the k12 test
could someone help me ASAP, thanks !!
Answer:
I think this is the right answer but last two signs are incorrect
Hope this will help
Answer:
i dont know
Step-by-step explanation:
The present age of Madison's Mother is 3 time that of Madison. After 6 1/4 years, the sum of their age will be 53 3/4 years. Find their present ages. (Estimate to the nearest whole number)
Answer: [tex]10, 31\ \text{years}[/tex]
Step-by-step explanation:
Given
The present age of Madison's Mother is three time that of Madison
Suppose the Present age of Madison is [tex]x[/tex], so age of her mother is [tex]3x[/tex]
After [tex]6\dfrac{1}{4}\ \text{years}[/tex], the sum of their age will be [tex]53\dfrac{3}{4}\ \text{years}[/tex]
[tex]\therefore (x+6\dfrac{1}{4})+(3x+6\dfrac{1}{4})=53\dfrac{3}{4}\\\\\Rightarrow 4x+2\times \dfrac{25}{4}=\dfrac{53\times 4+3}{4}\\\\\Rightarrow 4x+\dfrac{50}{4}=\dfrac{215}{4}\\\\\Rightarrow 4x=\dfrac{215-50}{4}\\\\\Rightarrow x=\dfrac{165}{16}\\\\\Rightarrow x= 10.31\approx 10[/tex]
Madison mother's age [tex]3x=30.93\approx 31\ \text{years}[/tex]
Lucy's dog sleeps 14 hours a day. What percent of the day does her dog spend sleeping?
Answer:
58.3333
Step-by-step explanation:
make 14/24 into a fraction with a denominator of 100, and you get 58.333333 over 100
Lucy's dog sleeps for 58.3% of the whole day.
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Given that, Lucy's dog sleeps 14 hours a day, we need to find that how much percent of the total day, her dog sleeps.
We know, there are 24 hours in a day,
Percentage = 14% of 24
= 24x14/100
= 58.3333333333 ≈ 58.3%
Hence, Lucy's dog sleeps for 58.3% of the whole day.
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