Answer:
[tex]-145[/tex]
Step-by-step explanation:
Step 1: Set x to -5
[tex]x^3+125/x+5[/tex]
[tex](-5)^3 + 125/-5 + 5[/tex]
[tex]-125 - 25 + 5[/tex]
[tex]-145[/tex]
Answer: [tex]-145[/tex]
5/3 to the power of 3
Given the three side lengths, how can you tell if a triangle is a right triangle?
Answer:
Square all side lengths. If the longest side length squared is equal to the sum of the squares of the other two side lengths, Then it is a right triangle.
Answer:
Square all side lengths. If the longest side length squared is equal to the sum of the squares of the other two side lengths, Then it is a right triangle.
Step-by-step explanation:
Square all side lengths. If the longest side length squared is equal to the sum of the squares of the other two side lengths, Then it is a right triangle.
Given that,
The three side length should be given. Now in order to prove the triangle is a right triangle. The following information should be considered.The side length should be squared. The longest length side should be squared and equivalent to the sum of the square of the other two side length. Also we called as the pythagoras theorem.Learn more: brainly.com/question/17429689
help please help 20 points
Answer:
B is the awnswer
Step-by-step explanation:
because it is right the spinner has five sections so 1 out of five but then 4 out of 15 times it was spun it landed on q
(X-2)^2 is subtracted from 3x^2-4x
Answer:
-2x^2-8x+4
Step-by-step explanation:
Find the smallest zero of f(x + 5). x =
|| I
Answer:
.
Step-by-step explanation:
3) An expression containing only numbers is called _ _ _ _ _ _ _ _ _.
Answer:
An expression containing only numbers is called figures
Step-by-step explanation:
What is the measure of ∠3 if c∥d ?
Answer:
72°
Step-by-step explanation:
Since c||d, ∠3 would be the same as ∠1
Since those two are supplementary angles, subtract 180 with 108 to get the measure of ∠1 which is 72°.
Since ∠1 and ∠3 are corresponding angles, they'll be congruent meaning ∠3 is also 72°.
Six friends go to a movie theater. In how many different ways can they sit together in a row of six empty seats?
Answer:
720
I think..i hope it helps
The number of ways that 6 friends can sit together in a row of six empty seats is 720.
What is Permutation?Permutation is defined as the calculation of a set such that it defines the number of ways that something can be arranged.
Given that,
Six friends go to a movie theater.
They have to be arranged in 6 different positions.
6 friends can be arranged in 6 different positions as 8P₈ ways.
Number of ways = 8P₈
= 8! / (8 - 8)!
= 8! / 0!
= 8!
= 720
Hence the number of ways that 6 friends can be arranged is 720 ways.
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can sb please answer this
Answer:
A
Step-by-step explanation:
A line of best fit needs to match the direction of the points and fit in-between the points as much as possible
C is not the right direction
D is not the right direction
B is to the left of the points
Help me I don’t understand
Answer:
H
Step-by-step explanation:
Answer:
G
Step-by-step explanation:
The "range" is a collection of the plotted y values
The diver's maximum height is 28ft, so the range must be less than that.
G is a better answer than F because the diver will eventually reach the water. He will not dive infinitely downward.
a building measure 8.4m wide by 9.3 the rest is in picture
Answer:
26.309932 MN if gravity was normal gravity force and on basis salt water was 1030 kg/m3
Step-by-step explanation:
The rule below is something I just found.
To calculate the force of gravity of an object, use the formula: force of gravity = mg, where m is the mass of the object and g is the acceleration of the object due to gravity. Since g is always 9.8 m/s^2, just multiply the object's mass by 9.8 and you'll get its force of gravity
Consider the function.
f(x) = -2/3x-24
Which conclusions can be drawn about f^-1(x)? Select two options.
Answer:
Statement 3
Step-by-step explanation:
y = -2/3x-24
Make x the subject
y + 24 = -(⅔)x
x = -(3/2)(y + 24)
Intersection variables
f^-1(x) = -(3/2)(x + 24)
Slope: -3/2
No domain restrictions
y-intercept: x = 0
-(3/2)(0+24)
-36
(0,-36)
x-intercepts: y = 0
0 = -(3/2)(x + 24)
x = -24
(-24,0)
Linear function, range is all real values of y
Answer:
[tex]f^{-1}(x)\: \textsf{ has a y-intercept of }\:(0,-36)[/tex]
[tex]f^{-1}(x)\: \textsf{ has a range of all real numbers.}[/tex]
Step-by-step explanation:
Given function[tex]f(x)=-\dfrac{2}{3}x-24[/tex]
The given function has an unrestricted domain and range.
Domain: (-∞, ∞) → all real numbersRange: (-∞, ∞) → all real numbersInverse of a function[tex]f^{-1}(x)[/tex] is the notation for the inverse of the function. The inverse of a function is a reflection in the line y = x
Finding the inverse of the given function
Swap f(x) for y:
[tex]\implies y=-\dfrac{2}{3}x-24[/tex]
Rearrange the equation to make x the subject:
[tex]\implies -\dfrac{2}{3}x=y+24[/tex]
[tex]\implies -2x=3y+72[/tex]
[tex]\implies x=-\dfrac{3}{2}y-36[/tex]
Swap the x for [tex]f^{-1}(x)[/tex] and the y for x:
[tex]\implies f^{-1}(x)=-\dfrac{3}{2}x-36[/tex]
The inverse function has a slope of -3/2
The domain of the inverse function is the range of the function.
The range of the inverse function is the domain of the function.
Therefore, the domain and the range are unrestricted.
Domain: (-∞, ∞) → all real numbersRange: (-∞, ∞) → all real numbersThe y-intercept of the inverse function is when x = 0:
[tex]\implies f^{-1}(x)\: \textsf{ has a y-intercept of }\:(0,-36)[/tex]
The x-intercept of the inverse function is when y = 0:
[tex]\implies -\dfrac{3}{2}x-36=0[/tex]
[tex]\implies -\dfrac{3}{2}x=36[/tex]
[tex]\implies x=-24[/tex]
[tex]\implies f^{-1}(x)\: \textsf{ has a x-intercept of }\:(-24,0)[/tex]
Conclusion[tex]f^{-1}(x)\: \textsf{ has a y-intercept of }\:(0,-36)[/tex]
[tex]f^{-1}(x)\: \textsf{ has a range of all real numbers.}[/tex]
can anyone please help me with this ?
Answer:Do you have a word bank???
Jenna was selling muffins and bagels in the lobby to support the math club. Bagels sold for $0.75 and muffins sold for
$1.50. She sold three times as many bagels as muffins and made $112.50 this morning.
Which of the following systems correctly models this situation?
A. 3B-M = 0
10.75 +1.50 M = 112.5
B. B-3M = 112.50
10.75B+1.50M = 0
C. B-3M=0
10.75B +1.50M = 112.50
D. B+3M = 0
10.75B - 1.50M = 112.50
A towns population increased from 14523 to 16489 what is the percent increase in the towns population
Answer:
the correct answer is 14% (plzzzz brainlist this answer!)
proof:
can’t figure this out!
[tex]b_n=b_1*q^{n-1}\\b_1=1, q=\frac{3}{1} =3\\b_n=1*3^{n-1}[/tex]
(b and t are the same)
P.S. Hello from Russia
Let f(x) = x² + x - 6 and g(x) = 3x - 6, what are f ⋅ g and f/g. state the resulting function and it's domain.
Answer:
[tex](f.g)(x) = 3x^3-3x^2-24x+36[/tex]
Domain of (f.g)(x) = All real numbers
[tex](\frac{f}{g})(x) = \frac{x+3}{3}[/tex]
Domain of (f/g)(x) = All Real Numbers
Step-by-step explanation:
Given functions are:
[tex]f(x) = x^2+x-6\\g(x) = 3x-6[/tex]
We have to calculate f.g and f/g
In order to find f.g we have to multiply both functions
[tex](f.g)(x) = (x^2+x-6)(3x-6)\\= 3x(x^2+x-6) - 6(x^2+x-6)\\= 3x^3+3x^2-18x-6x^2-6x+36\\= 3x^3+3x^2-6x^2-18x-6x+36\\=3x^3-3x^2-24x+36[/tex]
The domain of (f.g)(x) is all real numbers
Now
[tex](\frac{f}{g})(x) = \frac{f(x)}{g(x)}\\= \frac{x^2+x-6}{3x-6}\\=\frac{x^2+3x-2x-6}{3x-6}\\=\frac{x(x+3)-2(x+3)}{3(x-2)}\\=\frac{(x+3)(x-2)}{3(x-2)}\\=\frac{x+3}{3}[/tex]
The domain of (f/g)(x) is all real numbers.
Hence,
[tex](f.g)(x) = 3x^3-3x^2-24x+36[/tex]
Domain of (f.g)(x) = All real numbers
[tex](\frac{f}{g})(x) = \frac{x+3}{3}[/tex]
Domain of (f/g)(x) = All Real Numbers
A town has a population of 20000 and grows at 4% every year. To the nearest
year, how long will it be until the population will reach 39400?
Answer:
The population will reach 39,400 after 17 years.
Step-by-step explanation:
Given that, The population grows at a rate 4%. The population of the town is 20,000 at a certain time.
Exponential function:
[tex]y(t)=y_0(1+r)^t[/tex]
y(t) = The population after t years
[tex]y_0[/tex] = Initial population.
r = Rate of grow
t = Time.
y(t)= 39400, [tex]y_0[/tex] = 20,000, r= 4%=0.04, t=?
[tex]39400=20000(1+0.04)^t[/tex]
[tex]\Rightarrow \frac{39400}{20000}=(1.04)^t[/tex]
[tex]\Rightarrow \frac{197}{100}=(1.04)^t[/tex]
Taking ln both sides
[tex]\Rightarrow ln|\frac{197}{100}|=ln|(1.04)^t|[/tex]
[tex]\Rightarrow ln|\frac{197}{100}|=t\ ln|(1.04)|[/tex]
[tex]\Rightarrow t= \frac{ln|\frac{197}{100}|}{ln|(1.04)|}[/tex]
[tex]\Rightarrow t\approx 17[/tex]
The population will reach 39,400 after 17 years.
Final answer:
To find the time it takes for a town's population to grow from 20,000 to 39,400 at a 4% annual growth rate, the exponential growth formula is used. After rearranging the equation and taking natural logarithms, it's found that it will take approximately 18 years for the population to reach 39,400.
Explanation:
Population Growth Calculation
To calculate how long it will take for a town's population of 20,000 to grow to 39,400 with an annual growth rate of 4%, we can use the formula for exponential growth:
P(t) = P_0 × (1 + r)^t
where:
P(t) is the future population
P_0 is the initial population
r is the growth rate (expressed as a decimal)
t is the time period in years
Starting with 20,000 people and wanting to get to 39,400:
39400 = 20000 × (1 + 0.04)^t
To solve for t, we need to:
Rewrite the equation as: (1 + 0.04)^t = 39400 / 20000
Take the natural logarithm of both sides: ln((1 + 0.04)^t) = ln(39400 / 20000)
Simplify: t × ln(1 + 0.04) = ln(1.97)
Divide by ln(1 + 0.04) to isolate t: t = ln(1.97) / ln(1.04)
Use a calculator to find the numerical value for t.
When calculated, t is approximately 18 years. Therefore, it will take roughly 18 years for the town's population to grow from 20,000 to 39,400.
Marisa wants to buy a new XBOX that costs $300.00. She already saved $25.00 and plans to save an additional $10.00 per week. Write an expression that shows the amount of money Marissa has saved after ANY number of weeks. (Remember no equal sign! )
Answer:
25 + 10x
Step-by-step explanation:
First, add the base $25 from the start.
Next, add $10 per week. The number of weeks is the unknown, and is represented by x, giving 10x.
Put them together, you get 25 + 10x.
Answer:
10x+25
Step-by-step explanation:
The answer is 10x+25 because 25 is the initial value, which is the y intercept. Then, since she saves 10$ per week, it is 10*x, x representing the number of weeks.
A machine makes rolls of paper. The rolls can be as wide as 33 feet or as narrow as 12 feet.
Which inequality describes the possible widths (w) of a roll of paper?
A. 12 2 w > 33
B. 12 SW <33
C 12 <w <33
D. 33 < W<12
E. 12 =w=33
i like tacos:) thats the answer lol
The inequality for width(w) is 12[tex]\leq[/tex]w [tex]\leq[/tex] 33
What is inequality?An inequality statement in algebra uses the inequality symbol to show the relationship between two expressions. On either side of an inequality sign, the expressions are not the same. It implies that the articulation on the left-hand side ought to be more noteworthy than or not exactly the articulation on the right-hand side or the other way around.
Given that a machine can roll a paper wide as 33feet and narrow as 12 feet
here we can say that 33 feet is the maximum limit of machine and 12 feet is minimum .
so the equation of width(w) should lie between 12 and 33 , so width can be greater or equal to 12 and less and equal to 33.
Hence the possible inequality is 12[tex]\leq[/tex]w [tex]\leq[/tex] 33
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what is seven divided by twenty four?
Answer:
0.29166666666
Step-by-step explanation:
You divide 7/24 in a calculator and u get this anwer.
Karen will be traveling out of town for business during her travel she scheduled to have three dinner for lunch and to breakfast for employee will pay her for this meal at the following rate 20.15 for dinner 12.30 for lunch and 6 .37 for breakfast what is the total will be paid for this meals?
Answer:
$38.82
Step-by-step explanation:
just add up all the numbers :)
the measure of the arc BC is __.
PLEASE HELP ME WITH THIS QUESTION. ITS URGENT!!!!!!!
The measure of AD = 120 degrees
The measure of arc BC is 40 degrees. If you want the length, it's (2pi/9)(radius)
Answer:
AD=120 degrees
BC=40
Step-by-step explanation:
Weight of Male
Dogs (lb.)
stems
What is the general shape of the data?
skewed
symmetric
constant
many peaks and valleys
DONE
leaves
8|1 represents 81
Answer: on edg it’s the first answer ; Skewed
Answer:
Skewed
Step-by-step explanation:
On edge 2020
Can anyone please help me with this?
1.
20 pounds of strawberries
5 persons
20 ÷ 5 = 20 pounds ÷ 5 persons = 4 pounds per person
Answer: 4 is the pounds per person, how much each person received
2.
20 pounds of strawberries
5 pounds per person
20 ÷ 5 = 20 pounds ÷ 5 pounds/person= 4 persons
Answer: 4 is the number of people we're splitting among
In the right triangle shown, \angle B = 60^\circ∠B=60
∘
angle, B, equals, 60, degrees and AB = 12AB=12A, B, equals, 12.
How long is ACACA, C?
Answer exactly, using a radical if needed.
The length of the side AC for the right triangle is 12√3 and the measure of angle C is equal to 30°.
The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering angle 60 for the right triangle with side AC opposite it we get;
tan 60 = AC/12 {opposite side/adjacent side}
√3 = AC/12
AC = 12 × √3 {cross multiplication}
AC = 12√3
angle C = 180 - (60 + 90) {sum of interior angles of a triangle}
angle C = 180 - 150
angle C = 30°.
Therefore, using the tangent of angles 60 we have the side length AC to be 12√3 and the measure of angle C is 30°.
Question:
In the right triangle shown below, angle B = 60° and side length AB = 12. How long is the side AC, and what is the size of angle C?
Answer exactly, using a radical if needed.
what is the answer????
Answer:
[tex](5, 6)[/tex]
Step-by-step explanation:
Step 1: Solve for x in the first equation
[tex]x - y + y = -1 + y[/tex]
[tex]x = y - 1[/tex]
Step 2: Plug in x into the second equation
[tex](y - 1) - 3y = -13[/tex]
[tex]y - 1 - 3y + 1 = -13 + 1[/tex]
[tex]-2y / -2 = -12 / -2[/tex]
[tex]y = 6[/tex]
Step 3: Plug in y into the first equation
[tex]x - (6) + 6 = -1 + 6[/tex]
[tex]x = 5[/tex]
Answer: [tex](5, 6)[/tex]
Answer:
a
Step-by-step explanation:
Chris has 482 comics. He decides to give 94% of them to a friend as a birthday present. How many comics does Chris give away?
Answer:
453 of them
Step-by-step explanation:
if you do 482 times .94, it is 453.
19
:Cual es la solucion en notación decimal
de la ecuacion 4/3y-5=-6
Anota tu respuesta en el espacio provisto.
For this case we must solve the following equation:
[tex]\frac {4} {3} y-5 = -6[/tex]
Adding 5 to both sides of the equation we have:
[tex]\frac {4} {3} y = -6 + 5[/tex]
Different signs are subtracted and the major sign is placed.
[tex]\frac {4} {3} y = -1[/tex]
We multiply by 3 both sides of the equation:
[tex]4y = -3[/tex]
We divide by 4 on both sides of the equation:
[tex]y = - \frac {3} {4}\\y = -0.75[/tex]
Thus, the solution of the equation is [tex]y = -0.75[/tex]
Answer:
[tex]y = -0.75[/tex]
Q: Find the area of the figure shown below and choose the appropriate result.
6 cm
3 cm
3 cm
11 cm
3 cm
3 cm
6 cm
Answer:6cm
Step-by-step explanation:
the answer is
Step-by-step explanation:
18. mark brainliest!