Answer:
Step-by-step explanation:
Let the total number of action figures = x
75% of x = 48
[tex]\dfrac{75}{100}*x=48\\\\Multiply \ by \ 100\\\\75*x =48*100\\\\Divide \ by \ 75\\\\x=\dfrac{48*100}{75}\\\\\\x=16*4\\\\x= 64[/tex]
Remaining action figures need to be collected = total figures - number of action figures I have
= 64 - 48 = 16
Number of weeks = 16 ÷ 2 = 8
It will take 8 weeks to collect 16 action figures.
Describe the slope of the line
Find the slope.
Find all points on the x-axis that are 16 units from the point (4,-8)
Step-by-step explanation:
all points on the x axis have a y value of 0.
so, we need to find all points (x, 0) with a distance of 16 to (4, -8).
the distance to a point is the Hypotenuse of the right-angled triangle with the coordinate differences as legs.
and so Pythagoras applies :
c² = a² + b²
with c being the Hypotenuse (side opposite of the 90° angle).
so, in our case we have
16² = (4-x)² + (-8 - 0)²
256 = 16 - 8x + x² + 64 = x² - 8x + 80
x² - 8x - 176 = 0
if we have no other idea of factorization the general solution of such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -8
c = -176
x = (8 ± sqrt((-8)² - 4×1×-176))/(2×1) =
= (8 ± sqrt(64 + 704))/2 = (8 ± sqrt(768))/2 =
= (8 ± sqrt(256×3))/2 = (8 ± 16×sqrt(3))/2 =
= 4 ± 8×sqrt(3)
x1 = 4 + 8×sqrt(3) = 17.85640646...
x2 = 4 - 8×sqrt(3) = -9.856406461...
so, the points on the x axis that are 16 units apart from (4, -8) are
(x1, 0) and (x2, 0)
I am not sure in what format you need the answer.
please fill in for x1 and x2 from above what you need.
What is (f-g)(x)?
F(x)=3x5+6x2-5
G(x)=3x5-5x4+3x2-15
What is (f•g)(x)?
F(x)=x3-4x+2
G(x)=x2-6
The resulting function is (f-g)(x) = 5 · x⁴ + 3 · x² + 10.
The resulting function is (f • g) (x) = 3 · (3 · x⁵ - 5 · x⁴ + 3 · x² - 15)⁵ + 6 · (3 · x⁵ - 5 · x⁴ + 3 · x² -15)² - 5.
How to apply subtraction between two functionsLet be [tex]f(x)[/tex] and [tex]g(x)[/tex] polynomial functions, the subtraction between between the two functions implies the subtraction of similar terms. If we know that [tex]f(x) = 3\cdot x^{5}+6\cdot x^{2}-5[/tex] and [tex]g(x) = 3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15[/tex], then the subtraction between the two functions:
[tex](f-g)(x) = (3\cdot x^{5}+6\cdot x^{2}-5)-(3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15)[/tex]
[tex](f-g)(x) = 5\cdot x^{4}+3\cdot x^{2}+10[/tex]
The resulting function is (f-g)(x) = 5 · x⁴ + 3 · x² + 10. [tex]\blacksquare[/tex]
How to apply composition between two functionsThe composition between two functions, the independent variable of the former function by the latter function. If we know that [tex]f(x) = 3\cdot x^{5}+6\cdot x^{2}-5[/tex] and [tex]g(x) = 3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15[/tex], then the composition between the two functions:
[tex]f\,\circ\,g\,(x) = 3\cdot (3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15)^{5}+6\cdot (3\cdot x^{5}-5\cdot x^{4}+3\cdot x^{2}-15)^{2}-5[/tex]
(f • g) (x) = 3 · (3 · x⁵ - 5 · x⁴ + 3 · x² - 15)⁵ + 6 · (3 · x⁵ - 5 · x⁴ + 3 · x² -15)² - 5. [tex]\blacksquare[/tex]
To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/5245372
y = 5 and y = -1
Is it parallel,perpendicular or neither
Answer:
Parallel
Step-by-step explanation:
The graphs of these two equations will never intersect. Hope this helps.
In a certain class, 25% of students wear
glasses. If 6 students wear glasses, how many
students are in the class?
A person rolls a standard six-sided die 6 times. In how many ways can he get 3 fours, 2 ones, and I two?
Answer:
Good afternoon! no. of ways = 10! / [ 6! * 3! * 1!]
= 840
So the answer is 10.
_AnnieTheDreamGirl, 3/8/2022
The local cinema sells student tickets for $7.25. A school paid a total of $203 for a class of students to attend the cinema. Which equation can be used to determine the number of students, s that are in this class?
I just need the answers
Answer:
A=102 and B=0
Step-by-step explanation:
Sub values for X and Y into equation, put into your calculator and you will get the correct answer.
Answer:
a) 102
b) 0
Step-by-step explanation:
A:
[tex]10(10)-(2(5)-12)[/tex] [tex]100-(10-12)[/tex] [tex]100-(-2)[/tex] [tex]100+2[/tex] [tex]102[/tex]B:
[tex]2\left(10\right)-35+4\left(10\right)-\left(3\left(10\right)-5\right)[/tex] [tex]20-35+40-(30-5)[/tex] [tex]25-(25)[/tex] [tex]0[/tex]
Solve both Question related to Volume of Solids. 50 Points
Given for the cone:
base radius: 3aperpendicular height: 4agiven for the spheres:
radius: aFind volume of cone:
[tex]\sf \hookrightarrow \dfrac{1}{3} \pi r^2h[/tex]
[tex]\sf \hookrightarrow \dfrac{1}{3} \pi (3a)^2(4a)[/tex]
[tex]\sf \hookrightarrow 12\pi a^3[/tex]
Find volume of sphere:
[tex]\sf \hookrightarrow \dfrac{4}{3} \pi r^3[/tex]
[tex]\sf \hookrightarrow \dfrac{4}{3} \pi a^3[/tex]
Divide volume of cone by volume of sphere:
[tex]\sf \hookrightarrow \dfrac{12\pi a^3}{ \dfrac{4}{3} \pi a^3}[/tex]
[tex]\rightarrow 9[/tex]
Therefore proved 9 such spheres can be made using the metal cone.
We know that volume of cone is [tex]12\pi a^3[/tex]
[tex]\sf \rightarrow 12\pi a^3 = 12936[/tex]
[tex]\sf \rightarrow a^3 = \dfrac{12936}{12\pi}[/tex]
[tex]\sf \rightarrow a = \sqrt[3]{\dfrac{12936}{12\pi}}[/tex]
[tex]\sf \rightarrow a =7[/tex]
Therefore the radius of sphere is 7 cm
suppose there is a normally distributed population with a mean of 250 and a standard deviation of 50. if xbar is the average of a sample of 36, find P(246
Using the normal distribution and the central limit theorem, it is found that:
[tex]P(246 \leq \bar{x} \leq 260) = 0.5693[/tex]
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of [tex]\mu = 250[/tex].The standard deviation is of [tex]\sigma = 50[/tex].A sample of 36 is taken, hence [tex]n = 36, s = \frac{50}{\sqrt{36}} = 8.3333[/tex].The probability of a sample mean between 246 and 260 is the p-value of Z when X = 260 subtracted by the p-value of Z when X = 246, hence:
X = 260:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{260 - 250}{8.3333}[/tex]
[tex]Z = 1.2[/tex]
[tex]Z = 1.2[/tex] has a p-value of 0.8849.
X = 246:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{246 - 250}{8.3333}[/tex]
[tex]Z = -0.48[/tex]
[tex]Z = -0.48[/tex] has a p-value of 0.3156.
0.8849 - 0.3156 = 0.5693, hence:
[tex]P(246 \leq \bar{x} \leq 260) = 0.5693[/tex]
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
Do not understand it??
Show Intr
Maggie can do a job in 15 hours less than Ryan can. If they work together they can get the job done in 10 hours. How long would it take cach to do the job alone?
Maggie can do the job in
hours
Ryan can do the job in
hours
Answer:
Maggie = 15 hours
Ryan = 30 hours
Step-by-step explanation:
let x - time it takes Ryan to do the job alone.
x-15 - time it takes Maggie to do the job alone
[tex] \frac{10}{x} + \frac{10}{x - 15} = 1 \\ \\ \frac{10(x - 5) + 10x}{x(x - 15)} = 1[/tex]
[tex]10x - 150 + 10x = x {}^{2} - 15x \\ \\ 20x - 150 = x {}^{2} - 15x \\ \\ x {}^{2} - 15x - 20x + 150 = 0 \\ \\ x {}^{2} - 35x + 150 = 0 \\ \\ (x - 30)(x - 5) = 0 \\ \\ x = 30 \: and \: x - 15 = 15[/tex]
x = 5 --> not valid because x-15 will be NEGATIVE
Therfore,
Maggie can do the job in 15 hours.
Ryan can do the job in 30 hours.
2.
Show your work
24*
V
2x
Angle =
Answer:
90-24=76°
Step-by-step explanation:
____________________
There are 145 students at a small school and 41 of them are freshman. What fraction of the students are freshman
Answer: 41/145
Step-by-step explanation:
Freshmen/Total students = 41/145
What is the volume of the right rectangular prism below?
Answer:
C
Step-by-step explanation:
2 in. x 1 1/4 in. x 1 1/2 in. = 2/1 in. x 5/4 in. x 3/2 in. = 30/8 cubic inches = 3 6/8 = 3 3/4 cubic inches
Prism A is a dilation of Prism B. The height of Prism A is 612 ft, and the volume of Prism A is 8734 ft³. The height of Prism B is 314 ft.
What is the volume of Prism B?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
volume of prism B=4481.16993463 ft^3
Step-by-step explanation:
Prism B's height was multiplied by the scale factor to get prism A's height.
So x is the scale factor and 314x=612
x=1.949
volume of prism A is volume of prism B multiplied by x
8734=1.949(volume of prism B)
Volume of prism B=4481.16993463 ft^3
Answer:
10 31/32
Step-by-step explanation:
I took the k12 test
If the scale factor of sides is 3, then the scale factor of area is ___ and the scale factor of
volume is __
Answer:
9
27
Step-by-step explanation:
the scale factor of area is 3² = 9
the scale factor of volume is 3³ = 27
Answer:
1/2 then 4Ts
Step-by-step explanationexplanation: good luck
A grocery store clerk put only packages of Takis and packages of Flamas on a shelf. The ratio of the number of packages of Flamas to the total number of packages on the shelf was 9 to 16.
Which number could be the number of packages of Takis the clerk put on the shelf?
Answer:
5 packages of Takis
Step-by-step explanation:
The total number packages that were placed on the shelf were 16 packages. The total number of packages of Flamas that were placed on the shelf were 9 packages. So to identify the number of packages of Takis the clerk put on the shelf, we simply do
16-9=5
what is the sum of -4y+3 and 11y-5, i will give brainliest
Answer:
so the answer is 7y - 2 (i think)
Step-by-step explanation:
you just have to minus 11y and 4y then add 3 - 5
please mark me brainliest
Answer:
7y - 2
Step-by-step explanation:
solving variable and constant terms separately,
variable term:
-4y + 11y = 7y
constant term :
-5 + 3 = -2
together:
7y - 2
Question 4 of 5
Find the height of a cone with a diameter of 12 m whose volume is 340 m2
Use 3.14 for tr and round your answer to the nearest meter.
12 m
A. 28 m
O B.2 m
O C. 12 m
O D. 9m
Answer:
h = 9 m
Step-by-step explanation:
[tex]V_{cone}=340\: m^3[/tex]
diameter (d) = 12 m
[tex]\implies radius\:(r)= \frac{12}{2}=6\:m[/tex]
[tex] \because \: V_{cone}= \frac{1}{3} \pi {r}^{2} h \\ \\ \implies \: h = \frac{3V_{cone}}{\pi {r}^{2} } \\ \\ \implies \: h = \frac{3(340)}{3.14 {(6)}^{2} } \\ \\ \implies \: h = \frac{1020}{113.04} \\ \\ \implies \: h = 9.02335456 \\ \\ \implies \: h \approx 9 \: m[/tex]
Factor the greatest common factor (GCF) from each polynomial. - 12y + 48x
Answer:
-12(y-4x)
Step-by-step explanation:
-12y+48x=-12(y-4x)
The price of an all-access ticket to the fair is $42.99 before tax. Roland bought the all-access ticket for 40% off. He then paid 7% sales tax on the discounted price. Part A: How much did Roland pay in sales tax? Show all work and steps in your solution. (5 points) Part B: What is the total amount that Roland paid for the ticket? Show all work and steps in your solution.
Answer:
See below
Step by step explanation:
Here it is given that , the price of a ticket is $42.99 before tax . And he got a discount of 40% . So the cost after discount will be ,
[tex]\longrightarrow Cost = \$ 42.99 - \$42.99\times \dfrac{40}{100} \\[/tex]
Simplify ,
[tex]\longrightarrow Cost = \$ 42.99 - \$17.196 \\[/tex]
[tex]\longrightarrow Cost = \$ 25.79 [/tex]
Again it is given that he paid a tax of 7% on the discounted price . So the tax paid in dollars will be ,
[tex]\longrightarrow Tax = 7\% \ of \ \$25.79\\ [/tex]
Simplify ,
[tex]\longrightarrow Tax = \dfrac{7}{100}\times \$ 25.79 [/tex]
[tex]\longrightarrow \underline{\underline{ Tax =\$ 1.80 }} [/tex]
Answer of Part A : He paid a sales tax of $1.80 .
Now the total amount paid can be calculated by adding sales tax to the cost after discount .
[tex]\longrightarrow Total\ Amount = \$ 25.79 +\$ 1.80\\ [/tex]
Add ,
[tex]\longrightarrow \underline{\underline{ Total \ Amount = \$ 27.59}} [/tex]
Answer of Part B : The total amount paid by Ronald for ticket is $27.59 .
Helppp!
a. box 1: always, sometimes , never / box 2: remain ,do not remain
b. box 1: always, sometimes , never/ box 2: always, sometimes , never
c. box 1 : always, sometimes , never/ box 2: remain, not remain/ box 3: remain, not remain
d. box 1 : awlays, sometimes, never/ box 2 : an equal distance, different distance/ box 3 : some, all, no
e. box 1 : awlays, sometimes, never/ box 2 : would, would not / box 3 : all, no.
Answer:
They are all correct i think
Step-by-step explanation:
1/3 of 3 feet = how many inches
Answer:
12 Inches
Step-by-step explanation:
3 ÷ 3 = 1
1 feet is 12 inches
choose the sentence that complete the fact family like 2×9=18 18÷9=2 9×2=18 is it a 36÷2=18 b 18÷6=3 c 36÷18=2 d 18÷2=9 is it abc or d
Need help please with this math question
Answer:
1/20=5%
Step-by-step explanation:
ayuda por favor
Resta: 4805 - 1568
Answer:
4805 - 1568 = 3237
Please mark as brainliest;)
What quadratic function bests fits this data?
(refer to the picture)
A) y= -9.38x^2 + 74.80x + 186.1
B) y= -9.38x^2 -74.80x+186.1
C) y= 9.38x^2 - 74.80x + 186.1
D) y= 9.38x^2 + 74.8x + 186.1
Brainliest if correct
Answer:
44% is shaded
Step-by-step explanation:
Having carefully counted, I find 44 of the squares shaded. I'm sure of it.
Answer:
Yes, the other is correct. The answer is 44%
Step-by-step explanation:
Janet is 33.3% finished with
her math homework. If she
has 24 questions, how many
does she have left to finish?