Final answer:
The value of 12 + 6/n when N=2 is 15.
Explanation:
The value of 12+6/n when N=2 is found by substituting N=2 into the expression:
12 + 6/2 = 12 + 3 = 15
Therefore, the value of 12 + 6/n when N=2 is 15.
Which statement is true about the distribution
Answer:
dssdac
Step-by-step explanation:
Leah flips a coin, and then she spins the pointer on a spinner with equal sections of red, green, and blue. Which of the following is a compound event? Select all that apply. A. 00:00 The coin lands heads up. B. 00:00 The coin lands heads up, and the pointer lands on red. C. 00:00 The coin lands tails up, and the pointer lands on green. D. 00:00 The pointer lands on blue. E. 00:00
Answer:
B. is your answer because its compounded
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that Leah flips a coin, and then she spins the pointer on a spinner with equal sections of red, green, and blue.
Both flipping a coin and spins the pointer on a spinner is the compound event.
A is not compound since only coin is flipped
B is compound because it contains two events together
C is compound
D is not compound as this is single event.
Which expressions can be used to find m∠ABC? Check all that apply.
Answer:
[tex]\cos^{-1}(\frac{6.3}{9.8})[/tex]
[tex]\sin^{-1}(\frac{7.5}{9.8})[/tex]
Step-by-step explanation:
Recall the mnemonics SOH-CAH-TOA
The sine ratio is the length of the opposite side expressed over the hypotenuse.
[tex]\sin m\angle ABC=\frac{7.5}{9.8}[/tex]
Take the sine inverse of both sides to get;
[tex]m\angle ABC=\sin^{-1}(\frac{7.5}{9.8})[/tex]
The cosine ratio is the length of the adjacent side expressed over the hypotenuse.
[tex]\cos m\angle ABC=\frac{6.3}{9.8}[/tex]
Take the cosine inverse of both sides to get;
[tex]m\angle ABC=\cos^{-1}(\frac{6.3}{9.8})[/tex]
An astronaut visited Mars. His weight on Earth was 180 pounds, and his weight on Mars was only 72 pounds. He removed a rock with a weight of 16 pounds on Mars. What is the weight of the rock on Earth? a. 1.4 pounds c. 6.4 pounds b. 4 pounds d. 40 pounds Please select the best answer from the choices provided A B C D
Answer:
d. 40 pounds
Step-by-step explanation:
We know both weights of the astronaut, and we know one of the weight of the rock... we need to find the other weight of the rock (on Earth).
The easiest way to deal with those problems is to use a cross-multiplication.
We'll place on top the weights on Earth and as denominators the weights on Mars:
[tex]\frac{x}{16} = \frac{180}{72}[/tex]
So we isolate x = (16 * 180) / 72 = 2,880 / 72 = 40 pounds.
The rock then weights 40 pounds on Earth.
Mark earns $300 per month plus an additional 2% on all of his sales. Last month he sold $59,000. What was Mark’s income for the month?
Answer:
59,000 * .02= $1,180 commission plus $300 = $1480
What is the conjugate of 7 - 24i
Answer:
7+24i
Step-by-step explanation:
A math conjugate is formed by changing the sign between two terms in a binomial. For instance, the conjugate of x + y is x - y. We can also say that x + y is a conjugate of x - y. In other words, the two binomials are conjugates of each other.
The conjugate of a complex number is obtained by negating its imaginary part while keeping the real part unchanged. So, for 7 - 24i, the conjugate is 7 + 24i. The real part remains 7, and the imaginary part changes from -24i to +24i.
Explanation:In the field of mathematics, specifically complex numbers, the conjugate of a complex number is formed by changing the sign of its imaginary part. Given the complex number 7 - 24i, its conjugate is obtained by changing the sign of the imaginary part (-24i) to a positive. So, the conjugate of 7 - 24i is 7 + 24i.
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Find the surface area of the cone. Leave your answer in terms pi
Answer:
The answer is C. 119cm³
Step-by-step explanation:
SA= [tex]\pi r^{2} +\pi rl[/tex]
= 49[tex]\pi +\pi 7(10)[/tex]
= 49[tex]\pi +20\pi[/tex]
SA= 119[tex]\pi[/tex]
Answer:
The correct answer is option C. 119π cm²
Step-by-step explanation:
Points to remember
Surface area of cone = πrl + πr²
Where r is the base radius and l is the lateral edge
To find the surface area of given cone
Here r = 7 cm and l = 10 cm
Surface area = πrl + π r² =( π * 7 * 10) + (π *7²)
= 70 π + 49π
= 119π cm²
Therefore correct answer is option C. 119π cm²
What is the average rate of change of the function over the interval x = 0 to x = 8?
Answer:
The average rate of change is:
[tex]\frac{13}{161}[/tex]
Step-by-step explanation:
The rational function given to us is;
[tex]f(x)=\frac{3x+4}{2x+7}[/tex]
[tex]f(0)=\frac{3(0)+4}{2(0)+7}[/tex]
[tex]f(0)=\frac{4}{7}[/tex]
[tex]f(8)=\frac{3(8)+4}{2(8)+7}[/tex]
[tex]f(0)=\frac{28}{23}=1[/tex]
The average rate of change of this function from x=0 to x=8 is the slope of the secant line connecting:
(0,f(0)) and (8,f(8))
Average rate of change =[tex]=\frac{f(8)-f(0)}{8-0}[/tex]
[tex]=\frac{\frac{28}{23}-\frac{4}{7} }{8}[/tex]
[tex]=\frac{13}{161}[/tex]
a trail around a river is 3 1/4 miles long what is the length in feet of a of the trail
5280 feet in a mile
3.25 x 5280 = 17160 feet
the answers is 17,160 ft. one mile contains 5280 feet.
Kyle bought x pencils. He paid $1.24, including tax, per pencil. He gave the
cashier $20 and received $5.12 in change. How many pencils did Kyle purchase?
Answer:
Kyle purchased 12 pencils
Step-by-step explanation:
p= pencils
1.24p - 5.12 = 20
or, you can do this back wards like this....
20 - 5.12 = 14.88
14.88 / 1.24 = 12
p=12
(sorry for any confusion, this is just how my brain works...)
Kyle bought 12 pencils at $1.24 each. This determination is based on subtracting the amount of change he received from his $20 payment and dividing by the cost per pencil.
Explanation:Kyle bought x pencils for $1.24 each, paid with a $20 bill, and received $5.12 in change. Therefore, the total amount he spent can be calculated by subtracting the change from the total payment ($20 - $5.12 = $14.88). As he spent this amount on pencils that cost $1.24 each, the number of pencils he bought can be determined by dividing the total spent by the cost per item ($14.88 / $1.24). Therefore, Kyle bought approximately 12 pencils (the exact result is 12.003, but as pencils cannot be fractional, we round down to the nearest whole number).
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if you apply the changes below to the absolute value parent function f(x)=lxl, what is the equation of the new function?
Shift 4 units left
Shift 2 units up
Answer:
[tex]f(x)=|x+4|+2[/tex]
Step-by-step explanation:
The given absolute value function is
[tex]f(x)=|x|[/tex]
This is the base or the parent function.
The transformation [tex]f(x)=|x+b|+c[/tex] will shift the parent function b units to the left and c units up.
From the question, b=4 units and c=2 units.
The new equation is [tex]f(x)=|x+4|+2[/tex]
Answer: The equation of the new function is [tex]f(x)=|x+4|+2.[/tex]
Step-by-step explanation: We are given to find the equation of the new function if we apply the following changes to the absolute value parent function f(x)=lxl :
Shift 4 units left and Shift 2 units up.
We know that
if we shift the absolute value parent function f(x) = |x| to h units left and k units up, then the new equation will be
[tex]f(x)=|x+h|+k.[/tex]
Therefore, if the function is shifted 4 units left and 2 units up, then the equation of the new function will be
[tex]f(x)=|x+4|+2.[/tex]
Thus, the equation of the new function is [tex]f(x)=|x+4|+2.[/tex]
For the exponential equation [tex]y = 3.4(0.66)^x[/tex] is it a growth or decay function and what is the y-intercept and the rate of growth or decay?
A) Growth, y- intercept = 1, rate is 66%
B) Decay, y- intercept = 3.4, rate is 34%
C) Decay, y- intercept = 3.4, rate is 66%
D) Growth, y- intercept = 3.4, rate is 34%
Answer:
Option: B is the correct answer.
B) Decay, y- intercept = 3.4, rate is 34%
Step-by-step explanation:
We are given an exponential equation as follows:
[tex]y=3.4(0.66)^x[/tex]
We know that any exponential function of the type:
[tex]y=ab^x[/tex]
is growth function if: b>1
and is a decay function if 0< b< 1
Hence, here we have: b=0.66<1
Hence, the function is a decay function.
Also, we know that the y-intercept of a function is the point where x=0
Hence, we take x=0
we have: [tex]y=3.4\times (0.66)^0\\\\\\y=3.4[/tex]
Hence, the y-intercept is: 3.4
Also, the rate of a function is denoted by 'r'
where b=1-r
⇒ 0.66=1-r
⇒ r=1-0.66
⇒ r=0.34
Hence, the rate is: 34%
option: B is the correct answer.
Dante bought a new graduated cylinder for his chemistry class. It holds 847 milliliters of liquid. If the cylinder has a radius of 5.5 cm, then how tall is the cylinder? (Note: 1 milliliter is equal to 1 cubic centimeter)
a. 28
b. 154
c. 23,716
d. 77
Answer:
Option a) [tex]h=28\ cm[/tex]
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
Note In this problem the volume is equal to [tex]847\pi\ ml[/tex] instead of [tex]847\ ml[/tex]
so
[tex]847\pi\ ml=847\pi\ cm^{3}[/tex]
[tex]r=5.5\ cm[/tex]
substitute in the formula and solve for h
[tex]847\pi=\pi(5.5)^{2}h[/tex]
simplify
[tex]847=(5.5)^{2}h[/tex]
[tex]h=847/(5.5)^{2}[/tex]
[tex]h=28\ cm[/tex]
what is the area of a hexagon with an apothem of 10
Since the perimeter of said hexagon is 120√3, we simply multiply this number by 10 and divide it by 2.
1200√3/2 = 600√3
What is the area of point ?
Answer:
314 cm²
Step-by-step explanation:
It's not the point O, but the circle O, a point has no area.
The area of a circle is given by the formula A = π r²
We don't have r (radius), but we have the diameter, which is double the radius. So, r = d / 2 = 20 cm / 2 = 10 cm
Now, we can plug r directly into the equation:
A = π r² = π 10² = 100π = 314 cm²
Solve the equation. 5/2s + 3/4 = 9/4s
Answer:0.15789474
Step-by-step explanation:
5/2=2.5s+ 3/4=0.75 = 9/4=2.25
add 5/2/2.5 to the other side{like terms because of the letter s} which would=4.75s
now divide that to other side of .75 divided by 4.75 which would equal= 0.15789474
(i think, sorry if its incorrect)
Answer:
The value of s is -0.33
Step-by-step explanation:
Given the equation
[tex]\frac{5}{2s}+\frac{3}{4}=\frac{9}{4s}[/tex]
we have to solve the above equation
[tex]\frac{5}{2s}+\frac{3}{4}=\frac{9}{4s}[/tex]
[tex]\frac{5}{2s}-\frac{9}{4s}=-\frac{3}{4}[/tex]
[tex]\frac{10-9}{4s}=-\frac{3}{4}[/tex]
[tex]\frac{1}{4s}=-\frac{3}{4}[/tex]
[tex]s=-\frac{1}{3}=-0.33[/tex]
The value of s is -0.33
what is 15.36 times negative 0.45
Answer:
-6.912
Step-by-step explanation:
Answer: -6.912
Step-by-step explanation: -6.912 Would Be Your Answer. Have A Great Day!
The number 5 is included in which of the following solutions? Choose all that apply
{x:x <-3 or >4}
{x:x ≥5}
{x:x <5}
{x:0
Answer:
Option 1 and 2 are correct.
Step-by-step explanation:
1. {x:x <-3 or >4}
Here the values of x can be less than -3 or the values of x can be greater than 4. Since 5 is greater than 4 so, 5 is included in the solution
2. {x:x ≥5}
Here the values of x can be greater than or equal to 5. So, 5 is included in the solution.
3. {x:x <5}
Here the values of x can be less than 5. So, 5 is not included in the solution
4. {x:0<x<4}
Here the value of x is greater than 0 but less than 4. So, 5 is not included in the solution
So, Option 1 and 2 are correct.
13. Which of the following is the graph of y = 3(1⁄5)x?
Answer:
Second graph
Step-by-step explanation:
The second graph is the correct one. Why? because the y intercept is (0, 3), and also because the base, 1/5, is between 0 and 1, which leads to a decaying exponential graph.
How would you do this? I’m lost.
Find the x intercepts by setting each x to equal 0:
(4-x)=0
4 -4 = 0
First x intercept = (4,0)
(x+2) = 0
-2 + 2 = 0
Second x intercept = (-2,0)
Now find the Y intercept by setting the x's to 0 and solve for y:
y = (4-0)(0+2)
y = 4*2
y = 8
The Y intercept is (0,8)
Now find the graph the the parabola crosses the x axis at -2 and 4 and also crosses the Y axis at 8.
Graph A is the correct one.
Part 2 of “I don’t know what the heck i’m doing”
Plot the points ( -4,2.5), (-3,3), (-2,1.5), (-1,2), (0,1), (1,2), (2,3.5), (3,0.5), (4,2.5) then connect them with a line
Department A had sales of $200,000.00, Department B had sales of $600,000.00, and total overhead expenses were $32,000.00. The allocation of overhead to Department A should be ________.
Answer:
the allocation of overhead to department A is $8,000.00
Step-by-step explanation:
Given that Department A had sales of $200,000.00 and Department B had sales of $600,000.00, the ratio of department A's sales to that of department B is 200,000.00 / 600,000.00 = 1/3.
The total overhead expenses were $32,000.00, the allocation of overhead to department A is 32,000.00 / (3 + 1) = $32,000.00 / 4 = $8,000.00
What is the value of X
Answer:
120
Step-by-step explanation:
it is an obtuse angle
The answer is:
The missing angle "x" is equal to 130°.
Why?We need to remember that the sum of all of the angles of any polygon will be all equal to 360°.
So, we are given the following exterior angles:
[tex]140\°\\34\°\\56\°\\[/tex]
Now, if the sum of all the exterior angles is equal to 360°, we can use it to calculate "x", so:
[tex]360\°=140\°+34\°+56\°+x\\\\x=360\°-(140\°+34\°+56\°)=360\°-230\°\\\\x=130\°[/tex]
Hence, the missing angle "x" is equal to 130°.
Have a nice day!
yuh girl needs some help, please¡!
ANSWER
[tex]y = 3( \frac{1}{2} )^{2} [/tex]
and
[tex]y = ( {0.25)}^{x} [/tex]
EXPLANATION
The first equation represents an exponential decay because;
[tex]y = 3( \frac{1}{2} )^{2} [/tex]
represents an exponential decay because we can rewrite this equation as
[tex]y= 3 ({2}^{ - x} )[/tex]
The equation;
[tex]y = ( {0.25)}^{x} [/tex]
is also an exponential decay because
this equation can also be written as:
[tex]y = {2}^{ - 2x} [/tex]
All exponentiial functions of the form
[tex]y = a( {b}^{kx} )[/tex]
where k is negative is an exponential decay function.
Answer:
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. . Арф вянет Броня уже носит злобы питье пал пел Сводя. Меч Дуб умы жену кою чаша знаю Лию Всем нем коим. Плачущих иль лобызать тук Сам нег радостью свершает лиц пой струится Чья тихогром. . Их мя Те Уж. .
Вам Час Помощника Отч лучезарны невестник мысленным Мой свидетель. Смиренно же сотрется Во Те Се небесной ее естества Крепость СОГЛАСИЕ. кто. Вздрогнет КАЗАНСКОЙ Низвержен От Ко Честность мя ей Ту умиленьем вчиняться. Зол тут Нем осклабляет кто пал Или совоздыхая пространну. Тул тон веет быв стук злою тока тех верю. Дева Токи знаю Спас. .
If f(x) and its inverse function, f–1(x), are both plotted on the same coordinate plane, what is their point of intersection?
Answer:
-3
Step-by-step explanation:
f(-1) = 3(-1)
f(-1) = -3
Answer with explanation:
The given function is:
⇒ y =3 x
And it's inverse function can be Calculated by, replacing , x by y, and , y by x, in the above equation
⇒x=3 y, is the equation of inverse function.
Both the original function , and inverse function passes through origin, As well as Origin is the point of Intersection, which can be shown as follows:
3 x-y=0-----(1)
x-3 y=0
3 x - 9 y =0 ------(2)
EQ.(1) - Eq.(2)
3 x - y - (3 x- 9 y)=0
-y + 9 y=0
8 y=0
y=0
Putting the value of , y in equation (2)
x=3 × 0
x=0
⇒Point of intersection of ,f(x) and it's inverse =(0,0)
What is the explicit equation for this series 25,21,17,13
Answer:
The explicit rule is:
Step-by-step explanation:
The explicit rule is given by:
[tex]a_n=a_1+d(n-1)[/tex]
The given sequence is 25,21,17,13
[tex]a_1=25[/tex]
d=21-25
d=-4
We plug in the values into the formula to get;
[tex]a_n=25+-4(n-1)[/tex]
[tex]a_n=25-4n+4[/tex]
[tex]a_n=29-4n[/tex]
A concert hall is in the shape of a rectangle. Its floor has a length of (x + 6) meters and a width of (2x - 3) meters. Write a simplified expression that represents the area of the floor of the concert hall, in square meters?
Answer:
[tex]A=(2x^{2}+9x-18)\ m^{2}[/tex]
Step-by-step explanation:
Let
L-----> the length of the concert hall
W----> the width of the concert hall
we know that
The area of a rectangle ( concert hall) is equal to
[tex]A=LW[/tex]
we have
[tex]L=(x+6)\ m[/tex]
[tex]W=(2x-3)\ m[/tex]
substitute the values
[tex]A=(x+6)(2x-3)\\ \\A=2x^{2} -3x+12x-18\\ \\A=(2x^{2}+9x-18)\ m^{2}[/tex]
The area of the concert hall's floor, in square meters, is represented by the simplified algebraic expression 2x² + 9x - 18, which is derived by multiplying the hall's length (x + 6) by its width (2x - 3) then simplifying the resulting expression.
Explanation:The area of a rectangle is calculated by multiplying the length by the width. In this case, the length of the concert hall is given as (x + 6) meters and the width as (2x - 3) meters. Therefore, the area of the concert hall's floor, expressed in square meters, is the product of these two expressions.
So, you multiply (x + 6) by (2x - 3) to get the area, which gives you the following expression: 2x² - 3x + 12x - 18. Now, simplify this expression by combining like terms.
The simplified expression for the area of the floor in square meters is then 2x² + 9x - 18.
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How do you Graph y-3=1/3(x+1)
Answer:
You can find the point of intersection of the line with the y-axis and the the point of intersection of the line with the x-axis. See the graph attached.
Step-by-step explanation:
Find the intersection with the y-axis. Substitute [tex]x=0[/tex] into the equation and solve for y:
[tex]y-3=\frac{1}{3}(x+1)\\\\y-3=\frac{1}{3}(0+1)\\\\y-3=\frac{1}{3}(1)\\y=\frac{1}{3}+3\\\\y=\frac{10}{3}[/tex]
[tex]y[/tex]≈3.33
Find the intersection with the x-axis. Substitute [tex]y=0[/tex] into the equation and solve for x:
[tex]y-3=\frac{1}{3}(x+1)[/tex]
[tex]0-3=\frac{1}{3}(x+1)\\(-3)(3)=x+1\\-9-1=x\\x=-10[/tex]
Now, you know that the line passes through the point (0,3.33) and (-10,0). Now you can graph the function. (Observe the graph attached)
Ashley ran from home to school in 10 minutes. What is her average speed, if the distance between her house and her school is 1.5 miles?
(.15 miles / 1 minute) * (60 minutes / 1 hour) = 9 miles / hour
the sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger
[tex]x\geq 3 \ and \ x+1 \geq 4[/tex]
Step-by-step explanation:The question in this problem is:
The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger. What are the numbers?
First of all, let's name the first variable [tex]x[/tex] which is the smaller number. Accordingly, the lager number will be [tex]x+1[/tex] given that those numbers are consecutive. On the other hand at most conveys the idea of an inequality, which is:
[tex]\leq \\ which \ means \ less \ than[/tex]
So:
1. The sum of 2 consecutive integers can be written as:
[tex]v+(v+1)[/tex]
2. Nine times the smaller and 5 times the larger can be written as:
[tex]9v-5(v+1)[/tex]
Finally, the whole statement:
The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger:
[tex]x+(x+1) \leq 9x-5(x+1) \\ \\ x+x+1\leq 9x-5x-5 \\ \\ 2x+1 \leq 4x-5 \\ \\ 6 \leq 2x \\ \\ [/tex]
[tex]x+(x+1) \leq 9x-5(x+1) \\ \\ x+x+1\leq 9x-5x-5 \\ \\ 2x+1 \leq 4x-5 \\ \\ 6 \leq 2x \\ \\ \frac{6}{2} \leq \frac{2x}{2} \\ \\ 3 \leq x \\ \\ x\geq 3 \\ \\ and \\ \\ x+1 \geq 4[/tex]
The two numbers are:
[tex]x\geq 3 \ and \ x+1 \geq 4[/tex]