Answer:
si es funcion radical al final se pondra con raiz y las raizes son como potenciacion pero al revez es como multiplicacion y su opuesto en divicion haci que 5 mas 5 es 10 mas 4 es 14 pero sigue al raiz haci que se tiene que buscar una raiz a 14 seria 3,7288 y haci pero si no tenemos entonces una divicion 7 por 2 14 pero no se puede haci que 4 entre 7 la respuesta la pondrias como 4 (imagen de raiz encima del 7) 7
Step-by-step explanation:
espero ayudarte utilice un 64/1 de mi cabeza
Find the range of the given numbers. {41 , 43 , 52 , 25 , 96 , 19 , 72}
Answer: 77
Step-by-step explanation:
[tex]$$Find the range of the list:$$(41,43,52,25,96,19,72)$$The range of a list is given by:(largest element) - (smallest element) \\$(41,43,52,25,\bold{96},19,72)$ We see that the largest element is $96:$ $-(($ smallest element $))+96$\\$(41,43,52,25,96,\bold{19},72)$ We see that the smallest element is $19:$ $96-19$\\$$96-19=77$$Therefore, the range of the set is 77[/tex]
Angie mixes 7 2/3 pints fruit juice and 3 1/4 pint sprite to make punch far a party. she has 6 pints left at the end of the party. How much punch did Angie serve at the party?
Answer:
16 11/12
Step-by-step explanation:
7 2/3 + 3 1/4 =
7 8/12 + 3 3/12 =
10 11/12 + 6
16 11/12
solve for x～
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou! :)
Answer:
x=2,3
Step-by-step explanation:
[tex] {x}^{2} - 5x + 6 = 0 \\ {x}^{2} - 2x - 3x + 6 = 0 \\ x(x - 2) - 3(x - 2) = 0 \\ (x - 2)(x - 3) = 0 \\ either \: x = 2 \: \: \: \: \: or \: x = 3[/tex]
45% of what number is 300?
Then, explain how these are similar and how are they different.
HELP PLEASE ILL GIVE ALOT OF POINTSS
Answer:
666 2/3
Step-by-step explanation:
45 % * x = 300
.45 x = 300
x = 300 / .45 = 666 2/3
please answer this question
Answer:
-ln(| x - 1 |) + -ln(| x - 2 |) + C
Step-by-step explanation:
[tex]\displaystyle \int \dfrac{1}{x^2 -3x +2} dx\\\\\\=\displaystyle \int \dfrac{dx}{x^2 -3\cdot \dfrac 32 \cdot x + \left(\dfrac 32 \right)^2 -\left( \dfrac 32 \right)^2 +2}\\\\\\=\displaystyle \int \dfrac{dx}{\left(x- \dfrac 32 \right)^2 +2- \dfrac 94}\\\\\\=\displaystyle \int \dfrac{dx}{\left(x - \dfrac 32 \right)^2-\dfrac 14 }\\\\\\=\displaystyle \int \dfrac{du}{u^2-\left( \dfrac 12 \right)^2} ~~~~~~~~~~~~~~~~~~;\left[u = x - \dfrac32\implies du= dx\right]\\[/tex]
[tex]=\dfrac{1}{2\cdot\tfrac 12} \ln \left| \dfrac{u-\dfrac 12 }{u+\dfrac 12 } \right|+C~~~~~~~~~~:\left[ \displaystyle \int \dfrac {dx}{x^2 -a^2} = \dfrac 1{2a} \ln \left| \dfrac{x-a}{x+a} \right| +C\right]\\\\\\=\ln\left|\dfrac{x- \dfrac 32 - \dfrac 12}{x-\dfrac3 2 + \dfrac 12 } \right|+C~~~~~~~~~~~~;\left[\text{Substitute back}~u =x- \dfrac 32 \right]\\\\\\=\ln\left|\dfrac{x-2}{x-1} \right|+C[/tex]
What is the value of y?
The value of y will be,y=√(x²-12²).Concept of trigonometry is used in given problem.
What is trigonometry?The field of mathematics is concerned with the relationships between triangles' sides and angles, as well as the related functions of any angle
Apply phythogorous theorm in the triangle ABC;
AC²=AB²+BC²
16²=z²+x²
Apply Pythagoras theorm in triangle ABD
AB²=BD²+AD²
x²=y²+12²
y²=x²-12²
y=√(x²-12²)
Hence,the value of y will be,y=√(x²-12²).
To learn more about the trigonometry refer to the link;
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Suppose a triangle has sides 3, 4, and 6. Which of the following must be true?
• A. The triangle in question may or may not be a right triangle.
•
B. The triangle in question is not a right triangle.
• C. The triangle in question is a right triangle.
Answer:
The answer would be B
Step-by-step explanation:
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
A right triangle with sides 3 and 4 would have a hypotenuse of 5.
The answer would be:
B. The triangle in question is not a right triangle.
What is the classification of the triangle by its angles and by its sides?
Answer:
B. acute, isosceles
Step-by-step explanation:
The two small lines intersecting the two sides stand for congruency.
Two sides are congruent, so this is an isosceles triangle.
None of the angles here are greater or equal to 90 degrees, so it is an acute triangle.
Please mark brainliest!
Answer:
B. Acute, isosceles
Step-by-step explanation:
Angles can be classified by both their sides and angles. There are 3 classification for each measurement, making 6 total classifications. This includes acute, right, and obtuse for angles and isosceles, scalene, and equilateral for sides.
Sides
The tic marks on 2 sides on the side show that they are congruent. Any triangle that has 2 congruent sides is classified as isosceles.
An additional fact is that the angles opposite of the congruent sides are also congruent. This information is not pertinent to this question, but might be useful in the future.
Angles
A triangle's classification for its angles is always based on the largest angle in the triangle. In this case, the largest angle is an acute angle. Remember that an acute angle is less than 90 degrees. This means that the triangle is acute.
Last year direct marketing had $122,222 in sales. This year direct marketing's sales are down by 9%. What are direct marketings sales this year
Answer:
$111222.02
Step-by-step explanation:
This year = Last year * (100%-9%)
This year = 122222 * 91% = 111222.02
$2 shared among 4 is———-cents each or $————each
Answer:
$2 shared among 4 is 50 cents each or $0.50 each.
Step-by-step explanation:
2/4 = 50
use the graph to answer the question
Answer:
b
Step-by-step explanation:
bc solutions are the zeros or the x intercepts of the graph which would be (-3,0) and (3,0)
A quantity x varies directly with y and inversely with z. Which expression represents the constant of variation, k? StartFraction x z Over y EndFraction StartFraction x y Over z EndFraction StartFraction z Over x y EndFraction StartFraction y Over x z EndFraction
The expression that represents the constant of variation, k, in this scenario is StartFraction z Over x y EndFraction.
When a quantity varies directly with one variable and inversely with another, it means that the quantity is directly proportional to one variable and inversely proportional to the other. In this case, x varies directly with y and inversely with z.
To represent the constant of variation, k, we need to find the expression that combines the variables x, y, and z in the correct way.
If x varies directly with y, we can represent this relationship as x = ky, where k is the constant of variation.
If x varies inversely with z, we can represent this relationship as x = k/z.
Combining these two expressions, we can write x = ky = k/z.
Simplifying this equation, we get xz = ky.
To isolate k, we divide both sides of the equation by xy, resulting in StartFraction x z Over y EndFraction = k.
Therefore, the expression StartFraction z Over x y EndFraction represents the constant of variation, k.
For more Questions on StartFraction
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please answer this question
Step-by-step explanation:
Given:
The three points given below are collinear,
[tex](x_1,y_1) = (a,0)\\(x_2,y_2) = (0,b)\\(x_3,y_3) = (1,1)[/tex]
To prove:
[tex] \frac{1}{a} + \frac{1}{b} = 1[/tex]
Proof:
Collinear: given set of points lies on a straight line.
Now we are told that the given set of points are collinear hence they will not be able to form a triangle or the area enclosed by all the points will be equal to zero.
The formula of area of traingle in determinant form is
[tex]Area = \frac{1}{2} \begin{vmatrix} x_{1}& y_{1} & 1 \\ x_{2} & y_{2} & 1 \\ x_{3} & y_{3} & 1 \end{vmatrix}[/tex]
that can also be written as
[tex] \sf \small Area = \frac{1}{2} [x_1 (y_2 - y_3) + x_3 (y_1 - y_2) + x_2 (y_3 - y_1)][/tex]
Since the points are collinear L.H.S will be zero,
[tex]\sf \small 0 = \frac{1}{2} [x_1 (y_2 - y_3) + x_3 (y_1 - y_2) + x_2 (y_3 - y_1)][/tex]
Substituting all the given cordinates in above equation.
[tex]\sf \small 0 = \frac{1}{2} [a (b - 1) + 1 (0 - b) + 0 (1 - 0)] [/tex]
[tex]\sf \small 0 \times 2 = ab - a - b \\ \sf \small 0 = ab - a - b \\ \sf \small a + b = ab \\ \sf \small \: dividing \: both \: sides \: by \: ab \\ \sf \frac{a}{ab} + \frac{b}{ab} = \frac{ab}{ab} \\ \sf \frac{\cancel a}{\cancel ab} + \frac{\cancel b}{a \cancel b} = \cancel \frac{ab}{ab} \\ \sf \frac{1}{a} + \frac{1}{b} = \frac{1}{1} [/tex]
[tex] \sf Hence \: proved,[/tex]
[tex] \Large {\frac{1}{a} + \frac{1}{b} = 1}[/tex]
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Use area of triangle formed by using those points is equal to zero
[tex] \tt Area\: of \:triangle =\frac{1}{2}[a(b-1)+0+1(0-b)][/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \tt0=ab-a-b[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \tt a+b=ab[/tex]
Divide both sides by ab
[tex] \tt \frac{a}{ab} + \frac{b}{ab} = 1[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \tt\frac{1}{b} + \frac{1}{a} = 1[/tex]
Hence proved~
Please help solve b, c, and d. SHOW ALL WORK
I will mark brainliest!
Answer:
a) f'(x) = 12x
b) -120
c) 36
d) y = 36x -55
Step-by-step explanation:
The derivative is the limit of the average slope on an interval as the interval size approaches zero. The equation for a tangent line is conveniently written in point-slope form when the tangent point and the derivative there are known.
__
a)The derivative is ...
[tex]\displaystyle f'(x)=\lim_{h\to 0}{\dfrac{f(x+h)-f(x)}{h}}=\lim_{h\to 0}\dfrac{(6(x+h)^2-1)-(6x^2-1)}{h}\\\\=\lim_{h\to 0}\dfrac{(6x^2+12xh+6h^2-1)-(6x^2-1)}{h}=\lim_{h\to 0}\dfrac{12xh+6h^2}{h}=\lim_{h\to 0}(12x+6h)\\\\\boxed{f'(x)=12x}[/tex]
__
b)f'(-10) = 12(-10) = -120
__
c)f'(3) = 12(3) = 36
__
d)The point of tangency is ...
(3, f(3)) = (3, 6·3² -1) = (3, 53)
The slope there was found in part (c) to be 36. So, the point-slope equation for the tangent line can be written ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -53 = 36(x -3) . . . . equation of the tangent line at (3, 53)
This equation can be rearranged to slope-intercept form:
y = 36x -55 . . . . . add 53 and simplify
4m^(3)+10m^(2)-84m
Solve by factoring.
A group of friends wants to go to the amusement park. They have $318.50 to spend on parking and admission. Parking is $17, and tickets cost $33.50 per person, including tax. How many people can go to the amusement park?
Answer:
9 people
Step-by-step explanation:
The amount spent on tickets
318.5 - 17 = 301.5
If 301.5 was for tickets alone, the number of tickets can buy
301.5/33.5 = 9
Now
our equation is
y=33.5x+17No of persons=x
318.5=33.5x+1733.5x=301.5x=9people
What does impeach mean?
a. to accuse a public official, before an
appropriate tribunal, of misconduct in office
b. the power or right to prohibit or reject a
c. having two branches, chambers, or houses,
as a legislative body
d. to suspend proceedings to another time or
Answer:
a. to accuse a public official, before an appropriate tribunal. of misconduct in office
Among the licensed drivers in the same age group, what is the probability that
a 66-year-old was involved in an accident? Use the table below.
Drivers in
Age group accidents
(thousands)
19 and under 2150
20-24 2620
25-34 3740
35-44 |3220
45-54 3030
55-64 1990
65-74 1790
75 and over 560
Drivers in
fatal
accidents
5,400
3,700
(10,700
9600
9400
6500
3800
4300
Licensed
Drivers
|(thousands)
10,034
17,173
35,712
40,322
40,937
30,355
17,246
13321
O A. 6.6%
O B. 4.2%
O C. 4.6%
O D. 7.4%
Answer:I think It may be B 4.2%
Step-by-step explanation:
Use natural logarithms to solve the equation. Round to the nearest thousandth.
7e3x − 4 = 14
Answer:
0.315 to nearest thousandth.
Step-by-step explanation:
7e^3x − 4 = 14
7e3x = 18
e^3x = 18/7
3x = ln(18/7)
x = ln(18/7) / 3
= 0.31482.
How would the numbers -40, 0, and 40 appear on a horizontal number line?
A. O on the left end, -40 in the middle, and 40 on the right end
B. O on the left end, and both 40 and -40 on the right end
C. 40 on the left end, 0 in the middle, and -40 on the right end
D. -40 on the left end, 0 in the middle, and 40 on the right end
How many different lines can be drawn if each line contains at least two of these points?
B
A
D
C
What is the measure of angle Z?
Answer:
68
Step-by-step explanation:
180-112=68
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Jonas bought 3 books. Each book was the same price. After using a $10-off coupon, the total charge was $20. Which equation can be used to find b, the cost of each book?
Answer:
3b-10=20
Step-by-step explanation:
3b-10=20
3b-10+10=20+10
3b=30
3b/3=30/3
b=10
HELP PLS ILY
Mr. Taylor collected apples on Friday. On Saturday, he collected 2/3 of the amount collected on Friday. How many bushels of apples did Mr. Taylor collect on Saturday.
Answer:
3 + 2/3 = 9/3 + 2/3 = 11/3
11/3 * 2/3 = [tex]\frac{11}{3} * \frac{2}{3}[/tex] = [tex]\frac{22}{9}[/tex] = [tex]2\frac{2}{9}[/tex]
Self note:
Friday says 3 2/5 and Saturday is blank
Sorry I took so long
Solve the system of equations by substitution
====================================
[tex]\large \sf \underline{Problem:}[/tex]
Solve the system of equations by substitution
====================================.
[tex]\large \sf \underline{Answer:}[/tex]
x = - 5y + 4
====================================
[tex]\large \sf \underline{Explanation:}[/tex]
x + 5y = 42x + 10y = 8
2(- 5y + 4) + 10y = 8
substituted in the equation for x - 10y - 8 + 10y = 8
distributed
8 = 8
combined like terms 0 = 0(- 10y + 10y)
====================================
PLEASE HELP!! WILL GIVE BRAINLIEST HELP NEEDED URGENTLY!!
Answer:
20 cubic feet
Step-by-step explanation:
First divide the figure into 3 rectangular prisms like in the screen shot provided below.
Volume of the prism on the left:
l×w×h=v
1×2×3=6 cubic feet
Since the volume of the right prism and the left prism are the same, we can multiply the volume (6cubic feet) by 2. Therefore, the volume of both the prisms outlined in purple is 12 cubic feet.
Volume of the rectangular prism in the middle:
2×1×(7-3)
2×1×4=8 cubic feet
Now we add all the volumes together:
8+12=20 cubic feet.
Hope this helps! :)
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Seven times a number is 30 greater than the sum of twice the number and 5. What is the number
Solve:
3/5 + 7/10 - 1/2=
Answer:
-10.7
Step-by-step explanation:
tThe answer is -10.7. What you do is 3/5+7/10 then, you subtract 12 which gives your the answer
write an explicit formula for An, the nth term of the sequence 40,33,26,…
Answer:
an = 40 -7(n -1)
Step-by-step explanation:
The given sequence has terms with a common difference, so it is an arithmetic sequence. The formula for the general term of an arithmetic sequence applies:
an = a1 +d(n -1)
__
The first term of the given sequence is ...
a1 = 40
The common difference for this sequence is ...
d = 33 -40 = -7
Using these values in the equation for the n-th term, we have ...
an = 40 -7(n -1) . . . . . explicit formula for the n-th term