Answer:
x^2 + 100
x^2 + 10^2
Using the square of 2 sums formula ((x + y)^2 = x^2 + y^2 + 2xy), we can simplify as: x^2 + y^2 = (x + y)^2 - 2xy.
Implement y = 10, then we got:
x^2 + 10^2 = (x + 10)^2 - 20x
Student grades on a chemistry exam were: 77, 78, 76, 81, 86, 51, 79, 82, 84, 99
Required:
a. Construct a stem-and-leaf plot of the data.
b. Are there any potential outliers? If so, which scores are they? Why do you consider them outliers?"
Answer:
Step-by-step explanation:
A) Stem-and-leaf plot
stem leaf
5 1
7 6,7,8,9
8 1,2,4,6
9 9
B) Outlier
Could consider 51 an outlier.
A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).
What is stem and leaf plot?A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).
The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.
The "stem" is used to group the scores and each "leaf" shows the individual scores within each group.
A) Stem-and-leaf plot
stem leaf
5 1
7 6,7,8,9
8 1,2,4,6
9 9
B) potential outliers will be
Could consider 51 an outlier.
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If fx) = 3* + 10x and x) = 4x - 2, find (f+ g)(x).
Answer:
[tex]\boxed {\boxed {\sf B. \ 3^x + 14x-2}}[/tex]
Step-by-step explanation:
We are given 2 functions:
f(x)= 3ˣ + 10x g(x)= 4x-2We are asked to find (f+g)(x) or f(x)+ g(x). Essentially, we are finding the sum of the functions.
[tex](f+g)(x)=f(x)+ g(x)[/tex]
[tex](f+g)(x)=(3^x + 10x) + (4x-2)[/tex]
[tex](f+g)(x)= 3^x + 10x + 4x -2[/tex]
Simplify the expression by combining like terms. There are 2 terms with a variable of x, so they can be added together.
[tex](f+g)(x)= 3^x + ( 10x + 4x) -2[/tex]
[tex](f+g)(x)= 3^x + 14x -2[/tex]
The sum of the functions f(x) and g(x) is 3ˣ + 14x -2 and choice B is correct.
A triangle, where the two angles are 30° and 90°, what are the remaining angles
Answer:
60⁰
Step-by-step explanation:
A triangle has three angles.
The sum of its angles = 180⁰
[ By angle sum property ]
Let the unknown angle be 'x'
Then,
30⁰ + 90⁰ + x = 180⁰
120⁰ + x = 180⁰
x = 180⁰ - 120⁰
x = 60⁰
Therefore, the unknown angle will be equal to 60⁰
Find the common ratio for the geometric sequence
Answer:
1/4
Step-by-step explanation:
Find the area and the circumference of a diameter 8yd Use the value 3.14 for π, and do not round answer
Answer:
circumference = 25.12 yards
area = 50.24 yards squared or yd^2
Step-by-step explanation:
circumference = pi * d
3.14 * 8 =
25.12
area = pi* r^2
r = 1/2 of d = 4
area = pi * 16
3.14 * 16 =
50.24
Answer:
Area: 50.24yds^2 Circumference: 25.12yds
Step-by-step explanation:
Area: The formula for area of a circle is a = πr^2.
The radius (r) of the circle is 4yds because it is half the length of the diameter. The equation would like like this:
A = (3.14)(4)^2
A = (3.14)(16)
A = 50.24yds
Circumference: The formula for circumference is 2πr. We already know all of the variables so we can plug them in.
C = 2(3.14)(4)
C = 25.12yds
Hope this helps
©
In
what ratio does the point (m, 4) divide the line joining points (5, 1) and
(-3, 2)? Also, find the value of m.
what ratio does the point divide the line
Answer:
Part 1; The point (m, 4) divides the line externally in the ratio 3:2
Part 2; m = -19
Step-by-step explanation:
Part 1
The given point dividing the line = (m, 4)
The given points on the line = (5, 1) and (-3, 2)
Let A and B, represent the points (5, 1) and (-3, 2) respectively, and let P represent the point, (m, 4)
Therefore, we have;
The vertical distance from 4 to 1 = 4 - 1 = 3 units
The vertical distance from 4 to 2 = 4 - 2 = 2 units
Given that the point 4 is over the given points joined by the line, (5, 1) and (-3, 2), we have that the point (m, 4) divides the line in the ration -3:2 or externally in the ratio AP:PB = -3:2
Part 2
Therefore, we have;
(m - 5)/(m - (-3)) = 3/2
3·m + 9 = 2·m - 10
m = -19
13) Jim ran 2-miles after school while Tom ran 5
miles. How many miles did Tom and Jim run total?
Write your answer as a mixed number.
sunt
Answer:
7
Step-by-step explanation:
I don’t rly know how to write this as a mixed number
Find the coordinates of the image of Z(−3,−1) after the translation (x,y)→(x−2,y−7).
======================================================
Explanation:
We get this point by doing two things.
Subtract 2 from the x coordinate, due to the x-2Subtract 7 from the y coordinate, because of the y-7If we started with x = -3, then x-2 = -3-2 = -5. Also, if we had y = -1 then y-7 = -1-7 = -8
So that's how we end up with Z(-3,-1) moving to Z ' (-5, -8)
You could also show your work like this
[tex](x,y) \to (x-2, y-7)\\\\(-3,-1) \to (-3-2, -1-7)\\\\(-3,-1) \to (-5, -8)\\\\[/tex]
how long should the ladder be if they want to use all the canle they have? use the law of sines to find the length.
Answer: L = 36 feet approximately
The more accurate value is 35.9547644 feet, but this approximate value isn't exact either.
============================================================
Explanation:
Ignore the vertical line and any byproducts of it.
Refer to the diagram below. Note that the 95 degree angle is from 15+80 = 95.
We can use the law of sines like so
sin(A)/a = sin(B)/b
sin(75)/200 = sin(10)/L
L*sin(75) = 200*sin(10)
L = 200*sin(10)/sin(75)
L = 35.9547644 which is approximate.
This rounds to roughly 36 feet when rounding to the nearest whole number.
Side note: We never use angle C = 95, and its opposite side.
Hey can anyone help me pls
Answer:
6.8=6 8/5
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hope it help
Which of the following represents the set in words?
{x | x ≤ 0}
all negative integers
None of these
all positive integers
all negative real numbers
all positive real numbers
Answer:
It's actually: None of these.
Think about it: In this case we have an inequality, of x ≤ 0.
This basically means, that x can be less than OR equal to 0.
But 0 is neither negative or positive, so we can eliminate the following answer choices:
- all positive integers
- all negative real numbers
- all positive real numbers
- all negative integers
And we are left with "None of these"
Let me know if this helps!
Option B is correct. None of these options is the right answer since zero is neither an integer nor a real number
Before we can decide which option is correct, first we must integers and real numbers are.
Integers are whole numbers. They can either be positive and negative.Real numbers are numbers that are both whole numbers and fractions.zero is neither positive nor negative integerGiven the set of numbers {x | x ≤ 0}. The set of numbers in the set will be all integers less than zero including zero (zero is not an integer)
Hence the set of numbers are not all negative integers since 0 is not a negative integer.
They are not all positive integers rather they are mostly negative integers
They are not all positive and negative real values because zero is not a real integer.
Hence we can conclude that None of the options is correct.
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I need help I don't understand this at all.
please mark this answer as brainlist
Use the distance formula to find the perimeter. Round to the nearest tenth
Answer:
18.8
Step-by-step explanation:
You just add the two lengths and then do pythagorean theory to get the length of the hypotenuse. Then you add them all together to get 18.8. Hope this helps.
Will Mark Brainlest Helppp please
Answer:
6
Step-by-step explanation:
how often is that question posted here ?
this means that we need to find the value of x, so that the functional (result) value is 7.
7 = (3x - 4)/2
14 = 3x - 4
18 = 3x
x = 6
Se forman varios triángulos con fósforo uno después de otro escribe una expresión numérica que representa el número de fósforo según el número de triángulos
La expresión numérica que representa el número de fósforos según el número de triángulos es: x=2n+1
Vamos a suponer que los triángulos se disponen de la manera mostrada en el diagrama (ver diagrama adjunto)
Cuando se construye el primer triángulo vamos a necesitar de 3 fósforos.Cuando se construye el segundo triángulo vamos a necesitar de 2 fósforos adicionales por lo que obtenemos 3+2=5 fósforos.Cuando se construye el tercer triángulo, se necesitan 2 fósforos adicionales, por lo que obtenemos 3+2+2=7Cuando se construye el cuarto triángulo se necesitan 2 fósforos adicionales y tenemos 3+2+2+2=9En este caso vamos viendo un patrón, por cada nuevo triángulo vamos necesitando dos fósforos adicionales.
Cuando tenemos varios números que presentan un patrón y el patrón es que la distancia entre dos números consecutivos es la misma, entonces estamos hablando de una secuencia aritmética. Las secuencias aritméticas tienen la forma general:[tex]x_{n}=a+d(n-1)[/tex]
En este caso vamos a definir dos variables:
x = número de fósforos
n = número de triángulos
El patrón que vimos arriba se puede escribir de la siguiente manera:
x=3+2n
pero mucho ojo, esta fórmula es válida únicamente si empezamos a contar de n=1 triángulo adicional (osea cuando tenemos 2 triángulos). Si usamos n=1 obtenemos:
x=3+2(1)=5 (el cual es el resultado para 2 triángulos, no 1)
Esto se puede arreglar restándole un 1 a la x para que de esa forma, la fórmula sea válida cuando usamos x=1 triángulo, así que obtenemos:
x=3+2(n-1)
(Esta es la forma general de una secuencia aritmética.)
Ahora bien, esta fórmula puede ser simplificada usando álgebra, así que obtenemos:
n=3+2x-2
lo cual nos da:
n=2x+1
por lo que la expresión numérica que representa el número de fósforos según el número de triángulos es: n=2x+1
Puedes encontrar más información sobre secuencias aritméticas en el siguiente enlace:
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calculate the area of the given quadrilaterals.
Answer:
dissect the trapezium into a square and triangle. since the triangle is a right angled one the base is 17-7=10cm
the height is found using Pythagorean theorem to be 24cm i.e 26²=x²+10²,x=√(676-100),x=√576,x=24cn
area of trapezium is (1/2)(a+b)h
a is the shorter side and b the longer side
(1/2)*(7+17)24
=288cm²
PLEASE HELP!!! Find the value of x.
A. 11
B. 5
C. 25
D. 31
Answer:
C
Step-by-step explanation:
Consider trapezoid ABCD with
A is the midpoint of ED
C is the midpoint of BF
=> AC is the median of trapezoid EBFD
=>(EB+DF) / 2 = AC
=>(13+x) / 2 = 19
=> 13+x = 38
=> x= 25
The value of x is 5.
According to the Triangle Proportionality Theorem, if a line is parallel to one side of a triangle and intersects the other two sides, it divides those two sides proportionally. In mathematical terms, we can express this as:
(a/b) = c
Where the values of a = 13, b = 19
Now, we can substitute the given values into the proportionality equation:
(13/19) = c
Next, we can cross-multiply the equation:
c = 0.68
Then the value of x is calculated by adding 4.32 on it then we get the value of x as
=> x = 0.68 + 4.32
=> x = 5
Hence the correct option is (b).
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it is a polynomial or not write step in step
Answer:
√(3x)-2y+7
here √(3x) means, √3×√x
√x = x^(1/2)
now, now the exponent is 1/2, which means it's not a polynomial
What is 0.04% of 30? Round to the nearest hundredth
Answer:
0.012
Step-by-step explanation:
Have a good day.
Answer:
.01
Step-by-step explanation:
Change the percent to decimal form
.04% = .0004
.0004 *30
.012
Round to the nearest hundredth
.01
please help, is associated with angles. thank u :)
Answer:
Step-by-step explanation:
Because those lines are parallel, that means that the angle measuring 75 and the angle measuring 4x + 7 are alternate interior and by definition are congruent. Therefore,
75 = 4x + 7 and
68 = 4x so
x = 17
look at image below urgant 1000 points alert
A = pi x r x l
= 3.14 x 5 x 13
= 204.1
Answer:
282.7 mi^2
Step-by-step explanation:
Surface area of cone=pi*r*(r+l)=pi*5*18=282.7
Please help explanation if possible
Answer:
45
Step-by-step explanation:
a44 = 2 + (43 × 1) = 2 + 43 = 45
Solve for n. 1/ n-4 - 2/n = 3/ 4 - n
Answer:
The answer is n = - 4.. I hope it will help :)
I’m so confuseddddd
Answer:
i think second number.
not sure but i think that's the answer
A box office analyst seeks to predict opening weekend box office gross for movies. Toward this goal, the analyst plans to use online trailer views as a predictor.
Answer and Step-by-step explanation:
A box office predicts to open the weekend box office gross for a movie, and analysts plan to use the online trailer views as a predictor. The 66 movies and the number of the online trailers view from the trailer through the Saturday before the movie and open the weekend box office gross in a million dollars. Linear regression was performed on the data, and the result is the linear regression equation such as Y = -0.724 + 1.41X. At 0.05 level of significance, the linear relationship between the view and opening weekend is as H0: B1 = 0 H1:B is not equal to 0. To compute the test statistic, do the test. The standard error of deviation for this is Syx = 20.702, and the line model is appropriate. Click the icon to view the data on trailer views and open the weekend box office gross. The linear relationship between the trailer views and opening weekend box gross is to compute the test statistics at the level of significance. The test statistic is round to two decimal places as needed, and the p-value is round to three decimal.
Plssss help fasttt , I’ll mark u as the brainlest and follow u too
[tex]\huge\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]
sec² θ (1 + sin θ) (1 - sinθ ) = k
sec² θ(1-sin²θ ) = k
sec² θ cos² θ = k
sec² θ. 1 /sec²θ = k
1 = k
.. k = 1.
how can i round 162 to the nearest hundred in a easier way with multiplying
Answer:
it's 200
Step-by-step explanation:
it is rounded to 200 because the last two digit which are 62 should be 50 or above.
Can someone please help me?
Answer:I’m not sure
Step-by-step explanation: try and use the scientific demos
ILL MARL BRAINIEST IF YOU DO THIS CORRECTLY!!!
Drag each tile to the correct box.
Order the expressions from least value to greatest value.
Answer:
okie dokie 5557/57890/6678/2559
A dripping tap loses water at a rate of 5mL a minute.
How long does it take to lose one litre?
1 liter = 1000mL
Divide 1000mL by mL per minute:
1000 / 5 = 200 minutes ( 3 hours and 20 minutes)
