Usando proporciones, en conjunto con multiplicación cruzada, encontra-se que el valor de p es de 6.
¿Qué es una proporción?Una proporción es una fracción de la cantidad total, e puede ser encontrada aplicando una regla de três.
En este problema, relación es dada por:
[tex]\frac{p}{p+2} = \frac{6}{8}[/tex]
Aplicando multiplicación cruzada:
8p = 6(p + 2)
8p = 6p + 12
2p = 12
p = 12/2
p = 6.
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Find the area of sphere of radius 4 cm
The measure of an angle is 42.1°. What is the measure of its complementary angle?
Answer:
47.9°
Step-by-step explanation:
complementary angles are two angles that add up to 90° [90 degrees]
so, we can find the complementary angle of 42.1 by finding what angle it needs to add up to 90
we can use subtraction to find this value:
90 - 42.1 = 47.9
So, the complementary angle to the angle 42.1° has a measure of 47.9°
hope this helps, have a lovely day!! :)
You need to know that two angles are complementary when they are equal to 90°. If you want to find the complement of an angle, and you have one of the angle measures, you need to subtract it from 90°. You have an angle measure of 42.1°. This will be the number you subtract.
⇢ 90° - 42.1°
⇢ 47.9
Writing an Equation from a Table
A 2-column table with 6 rows. Column 1 is labeled x with entries 8, 12, 16, 20, 25, 28. Column 2 is labeled y with entries 2, 3, 4, 5, 6, 7.
Which equation produces the values in the table?
y = 4x
y = 4 + x
y = One-fourthx
y = 4 – x
The equation of the line will be y = 4x. Then the correct option is A.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
Writing an Equation from a Table
A 2-column table with 6 rows. Column 1 is labeled x with entries 8, 12, 16, 20, 24, 28. Column 2 is labeled y with entries 2, 3, 4, 5, 6, 7.
Then at (2, 8) and (3, 12), we have
y – 8 = [(12 – 8) / (3 – 2)] (x – 2)
y – 8 = 4x – 8
y = 4x
Then the correct option is A.
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Please help me!!!!!!
Answer:
It is an obtuse triangle I think because
On a number line, 1.84 would be located ______. Choose all answers that make a true statement.
1.84
《--|----|----|----|----|----|----|----|----|----|--》
A. between 1.74 and 1.94
B. to the left of 1.85
C. to the right of 1.83
D. between 1 and 2
Answer:
All answers are correct.
Step-by-step explanation:
A. 1.84 is between 1.74 and 1.84.
B. 1.84 < 1.85. Lower values go to the left.
C. 1.84 > 1.83. Higher values go to the right.
D. 1.84 is between 1.0 and 2.0.
20 points please!!! helpp with functions and average rate of change
Answer:
option C.
Step-by-step explanation:
If we calculate average rate of change of a function over a certain interval, we’re computing the average number of units which the function moves up or down, per unit along on the xx-axis. We might alternatively argue that we’re measuring how much change occurs in our function’s value per unit on the xx-axis.
The equation for average rate of change is -
Δx/Δf =
f(x2) - f(x1) / x2 - x1
Answer:
C k(x)
Step-by-step explanation:
The average rate of change (m) of a function on an interval is the difference between the function values at the ends of the interval, divided by the interval width:
[tex]m_{ab}=\dfrac{f(b)-f(a)}{b-a}\qquad\text{average rate of change on interval $[a,b]$}[/tex]
__
simplificationHere, the interval of concern is the same for all of the functions. It is [a, b] = [0, 2] so the denominator of this fraction is 2-0 = 2 for all of the functions. That means we can determine the greatest average rate of change by simply looking at the differences f(2) -f(0) for each of the functions.
amount of changeA. j(2) -j(0) = 3(1.6²) -3 = 4.68
B. g(2) -g(0) = 25/2 -8 = 9/2 = 4.5
C. k(2) -k(0) = 9 -4 = 5 . . . . . . . . . . greatest amount of change
D. f(2) -f(0) = 1.5(2²) -1.5 = 4.5
solutionThe function k(x) has the greatest average rate of change over the interval [0, 2].
What is the value of the blue dot?
Answer:
17
Step-by-step explanation:
Solution
The distance between each marker is 2. So going upwards 9+2 = 11
11 + 2 = 13
13 + 2 = 15 But we still have 1 more space to go.
15 + 2 = 17
PLEASE HELP. FUNCTIONS AND RELATIONS. PROVIDE ANSWER OPTION A,B,C OR D? THANKS!!
Step-by-step explanation:
please mark me as brainlest
Proving Vertical Angles Are Congruent
Answer:
Vertical angles are always congruent
Step-by-step explanation:
Answer:
Statement
Measure of angle 2 and 3 are a linear pair and
Reason
Definition of linear pair
Step-by-step explanation:
Hook me up with a 5 star and a Thanks :)
The graph of y =[tex]\sqrt[]{x}[/tex]nis transformed as shown in the graph below. Which equation represents the transformed function?
Answer:
[tex]\textsf{A)}\quad y=-\sqrt{x}+2[/tex]
Step-by-step explanation:
Parent function:
[tex]y = \sqrt{x}[/tex]
The properties of the parent function are:
Starts at the origin, so y-intercept is at (0, 0)Domain: x ≥ 0Range: y ≥ 0As x increases, y increasesFrom inspection of the graph, as the x-values increase, the y-values decrease. Therefore there has been a reflection in the x-axis.
The y-intercept is now at (0, 2), therefore the function has been translated 2 units up.
Translations
For a > 0
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
Therefore:
Reflected in the x-axis: [tex]-f(x)=-\sqrt{x}[/tex]
Then translated 2 units up: [tex]-f(x)+2=-\sqrt{x}+2[/tex]
So the equation that represents the transformed function is:
[tex]y=-\sqrt{x}+2[/tex]
The amount of weight a truck can hold is limited to 1200 pounds. If you weigh 165 pounds and each brick weighs 3 pounds, how many bricks, b, can you
haul?
Answer:
max weight truck can hold = 1200 pounds
your weight. 165 pounds
1200 - 165
1035 pounds left
3 pounds --- 1 brick
1035 --- ?
1035 / 3
345 can haulYou can haul 345 bricks in the truck.
How many bricks, b, can you haul?An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.
From the given information, we have:
The amount of weight a truck can hold is limited to 1200 pounds.
You weigh 165 pounds and each brick weighs 3 pounds.
Number of bricks you can haul, b.
Thus, we can say:
Your weight + (Weight of each brick * Number of bricks) ≤ Total weight capacity of the truck
165 + (3 * b) ≤ 1200
3b ≤ 1200 - 165
3b ≤ 1035
b ≤ 1035/3
b ≤ 345
Therefore, you can haul 345 bricks in the truck.
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Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3
Help me please?
Answer:
y-2=1/3(x-3)
Step-by-step explanation:
Point slope formula: y-y1=m(x-x1)
m is slope.
y-2=1/3(x-3)
Hope this helps!
If not, I am sorry.
Tara and Julia run a race Julia takes 42 seconds to run the race she is seven seconds faster than Tara how many seconds does Tara take
Answer:
49 seconds
Step-by-step explanation:
42+7=49
Answer:
35 seconds
Step-by-step explanation:
3% simple annual interest paid on $250
A 2-column table with 4 rows. Column 1 is labeled Year with entries 1, 2, 3, 4. Column 2 is labeled Total Interest Paid with entries question mark, 15 dollars, 22 dollars and 50 cents, question mark.
The simple interest earned in year 1 is calculated as
.
The simple interest earned in year 1 is
.
The total interest earned at the end of year 4 is
.
The simple interest earned in year 1 is 7.5. The simple interest earned in year 1 is $7.50. The total interest earned at the end of year 4 is $30.00
How to calculate a simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, it is left for T years for that simple interest.
3% simple annual interest paid on $250
A 2-column table with 4 rows.
Column 1 is labeled Year with entries 1, 2, 3, 4.
Column 2 is labeled Total Interest Paid with an entries question mark, 15 dollars, 22 dollars, and 50 cents,
The simple interest earned in year 1 is calculated as
The first one is (0.03)(250) = 7.5
The simple interest earned in year 1 is
The second one is $7.50
The total interest earned at the end of year 4 is
The third one is $30.00
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2*2+2+2+2+2+2+2+22+2+22+2222+222+22+22+222+22+22
Answer:
Step-by-step explanation:
2,816 lol
Question 1
swere
>
Find the equation for the line that passes through (2, 8) that has slope 4. Give your answer in point-slope
form. You do not need to simplify.
Answer:
The point-slope form is y - 8 = 4(x - 2)
Step-by-step explanation:
Given:
slope = 4passes through (2, 8)the point-slope form is y - y1 = m(x - x1)
(x1, y1) is a known pointm is the slope of the line(x, y) is any other point on the lineHence the point-slope form is y - 8 = 4(x - 2)
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maths uhhhhhhh?????????????????????????????
Answer: 68.852459016393 or 68.9 if you round up
Step-by-step explanation:
If you add all the students subjects together you get a total of 41. Then if you add up the total of students who study physics, chemistry, and both you get 20. Then I put those numbers is a percentage calculator then boom you got your answer.
Sequence: 1,5,13,25
Find nth term (Equation/formula thingy)
Need answer ASAP
Answer:
Formula for a linear sequence is
Tn=a+(n-1)d
where Tn is the nth term
a is the first term
n is the number of term
d is common difference
What is the value of the expression 4 x (2a - 1) if a = 3?
16
20
23
25
Answer:
20
Step-by-step explanation:
⇒ Multiply 2 by 3
2 * 3 = 6
4 (6 - 1)
⇒ Distribute terms
4 * 5
20
Hence, the answer is 20.
What is the difference? startfraction x over x squared minus 16 endfraction minus startfraction 3 over x minus 4 endfraction startfraction 2 (x 6) over (x 4) (x minus 4) endfraction startfraction negative 2 (x 6) over (x 4) (x minus 4) endfraction startfraction x minus 3 over (x 5) (x minus 4) endfraction startfraction negative 2 (x minus 6) over (x 4) (x minus 4) endfraction
The difference of the fractions as given in the task content is; (4-2x) / (x²-16).
What is the difference of the two fractions?According to the task content, the fractions whose difference is to be evaluated are as indicated below;
[tex] \frac{x}{( {x}^{2 } - 16)} - \frac{3}{x - 4} [/tex]
Hence, the LCM of the denominators of both fractions can be evaluated as;
x -3(x+4)/(x²-16).
(4-2x) / (x²-16)
Hence, the difference of the two fractions is; (4-2x) / (x²-16).
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If the triangles above are reflections of each other, then BC = to
Answer:
DF
Step-by-step explanation:
Paint a picture in your head reflecting the triangle. Just hold A and flip it so A = E , D = B
What similarities exist between the operations on polynomials and the operations on functions?
A function assigns the value of each element of one set to the other specific element of another set.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
What are polynomials?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
In keeping with the remarks, the simple answer is that all polynomials are functions, but not all functions are polynomials. A function is essentially a rule that allocates a codomain value to every domain value.
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Which of the following statements is false?
In quadrilateral PQRS, ∠P and ∠S are opposite angles.
PLEASE HELP QUICKLY!!! WILL GIVE BRAINLYEST AWARD TO 1st RIGHT!!!
Answer:
i think is the third one
a women is 34 years older than her dauhter eiht years ago she was 3 times as old as her daughter what is the age of her daughter now?
Answer:
The daughter is 14 years old
Step-by-step explanation:
34+8=42
42÷3=14
f(x) = |x – 3| + 6 where is the vertex of the graph
Answer: (3,6)
Rewrite in vertex form and use this form to find the vertex (h,k)
Answer:
(3,6)
Step-by-step explanation:
f(x) = |x| is a V-shaped graph with the vertex at (0,0). It is called a parent graph, because its super basic.
f(x) = |x - 3| + 6
has had two changes made to it. The "- 3" that's in there close to the x slides the graph over to the right 3 units. This is kind of the opposite of what you might think. Minus3 shifts right. (Plus3 would shift left)
The +6 tacked on to the end shifts the whole graph UP 6.
That slides the graph RIGHT3 and UP6. So the vertex lands at (3,6). See image.
The length of a rectangular field is 4 meters less than 5 times the breadth of the hall. What is the length, if the breadth is b meters?
Chloe would like to join a club for dancing entrance fee is $20.00 and will be charged $35.00 per month. Chloe would like to know cost for each month. Write and equation indicating the total cost of dancing lessons
factorise the following expressions:
a) 14w + 21
b) 27x+18
Step-by-step explanation:
a) 14w + 21
- Factor out 7 from the expression
7 (2w + 3)
b) 27x + 18
- Factor out 9 from the expression
9 (3x + 2)
Hi!
___________________________________________________________
[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]
#1 7(2w+3)
#2 9(3x+2)
[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]
We need to factor these two expressions.
[tex]\twoheadrightarrow\sf 14w+21[/tex] and [tex]\twoheadrightarrow\sf 27x+18[/tex]
For now let's focus on the first expression.
Note that both terms, 14w and 21, have something in common.
In fact, they have 7 in common. So we factor it out by dividing 14w and 21 by 7.
[tex]\twoheadrightarrow\sf14w\div7=2x\\\twoheadrightarrow\sf21\div7=3[/tex]
[tex]\bullet[/tex] Put the terms together, with a plus sign in between since they are positive
[tex]\twoheadrightarrow\sf 2w+3[/tex]
[tex]\bullet[/tex] Put parentheses around 2w+3
[tex]\twoheadrightarrow\sf (2w+3)[/tex]
[tex]\bullet[/tex] Put7 outside the parentheses
[tex]\twoheadrightarrow\sf7(2w+3)[/tex]
[tex]\bullet[/tex] Great job! We factored the expression
__________________________________________________________
This problem can be solved the same way!
This time, both terms have a 9 in common.
[tex]\twoheadrightarrow\sf 27x+18[/tex]
So we divide both terms by 9.
[tex]\twoheadrightarrow\sf 27x\div9=3x\\\twoheadrightarrow\sf18\div9=2[/tex]
[tex]\bullet[/tex] Put the terms together, with a plus sign in between since they're positive
[tex]\twoheadrightarrow\sf 3x+2[/tex]
[tex]\bullet[/tex] Next, put parentheses around 3x+2 and put 9 outside the parentheses
[tex]\twoheadrightarrow\sf 9(3x+2)[/tex]
[tex]\bullet[/tex] Great job! We factored both expressions
--
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]
--
Find the half line in days of Co-60. ROUND YOUR ANSWER TO THE NEAREST TENTH
The half life in days is 1924.0245 days.
What is half life?Half life is the time taken for the radioactivity of a substance to fall to half its original value.
Given:
N= 8
N[tex]_0[/tex]= initial mass
t= in days
So, N= [tex]N_0e^{-kt}[/tex]
Putting the values we get
half value = 5.2713 years or 1924.0245 days
Hence, the half-life is 1924.0245 days.
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