The number of ways that are there for Felicity to make her selection based on the combination of the twin bars is 103 ways.
How to calculate the combination?From the complete information, the combination for a twin bar is 13, 2 twin bars can be in 31 places.
3 twin bars of chocolate will be 30 and 4 twin bars will be 29. Therefore, the number of ways will be:
= 13 + 31 + 30 + 29
= 103 ways
Learn more about combinations on:
https://brainly.com/question/11732255
#SPJ1
Maria walked 3/4 of a mile. Cody walked 6/10 of a mile. How much farther did Maria walk than Cody?
Answer:
3/20
Step-by-step explanation:
Take the miles that Maria walked and subtract the miles that Cody walked
3/4 - 6/10
Simplify 6/10 by dividing the top and bottom by2
3/4 - 3/5
Get a common denominator of 20
3/4 *5/5 = 15/20
3/5 *4/4 =12/20
15/20 - 12/20
3/20
Answer:
0.15(3/20) miles more than Cody
3/4 = 0.75
6/10 = 0.6
Therefore, Maria walked 0.15(3/20) miles greater than Cody.
How do you show this on a graph?
Given . what is limit of f (x) as x approaches negative 1? –2 –1 1 2
The limit of f (x) as x approaches negative 1 is negative 1
How to determine the limit?The function is given as:
f(x) = x
The limit is represented as:
[tex]\lim_{x \to -1} f(x)[/tex]
Rewrite as:
[tex]\lim_{x \to -1} f(x)=x[/tex]
Substitute -1 for x
[tex]\lim_{x \to -1} f(-1)=-1[/tex]
So, we have:
As x approaches negative 1,f(x) approaches negative 1
Hence, t
Read more about limits at:
https://brainly.com/question/23780221
#SPJ4
The money collected from selling bacon at a butcher store is given by the function f(x) = 3.55x – 4, where f(x) is the sales revenue in dollars and x is the number of customers visiting the store each day. If {17, 21, 24, 34} customers visited over four days, what is the income from bacon sales each day?
Answer:
See below under "Explanation".
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle f(x) = 3.55x - 4[/tex]
[tex]\displaystyle x = \{ 17, 21, 24, 34 \}[/tex]
Step 2: Find Profit
To find the profit the store makes each day, we input the number of customers that visited the store each day into our given function:
For the day that had 17 customers:
[tex]\displaystyle\begin{aligned}f(17) & = 3.55(17) - 4 \\& = 60.35 - 4 \\& = \boxed{56.35} \\\end{aligned}[/tex]
∴ the butcher store made $56.35 when 17 customers visited the store.
For the day that had 21 customers:
[tex]\displaystyle\begin{aligned}f(21) & = 3.55(21) - 4 \\& = 74.55 - 4 \\& = \boxed{70.55} \\\end{aligned}[/tex]
∴ the butcher store made $70.55 when 21 customers visited the store.
For the day that had 24 customers:
[tex]\displaystyle\begin{aligned}f(24) & = 3.55(24) - 4 \\& = 85.2 - 4 \\& = \boxed{81.2} \\\end{aligned}[/tex]
∴ the butcher store made $81.20 when 24 customers visited the store.
For the day that had 34 customers:
[tex]\displaystyle\begin{aligned}f(34) & = 3.55(34) - 4 \\& = 120.7 - 4 \\& = \boxed{116.7} \\\end{aligned}[/tex]
∴ the butcher store made $116.70 when 34 customers visited the store.
---
Learn more about functions: https://brainly.com/question/27710450
Learn more about Algebra I: https://brainly.com/question/27710380
---
Topic: Algebra I
Below are the supply and demand equations for stereo headphones in a certain market. in these equations, p represents price, d represents demand, and s represents supply. d = startfraction negative 5 over 9 endfraction p 94 s = 3 p minus 160 what is d at the point of equilibrium, to the nearest whole number? a. 151 b. 104 c. 71 d. 54
The value of d at the point of equilibrium, to the nearest whole number is 54
How to determine the value of d at equilibrium?The equations are given as:
[tex]d = \frac{-5}{9}p + 94[/tex]
[tex]s = 3p - 160[/tex]
At the point of equilibrium, d = s.
So, we have:
[tex]\frac{-5}{9}p + 94 = 3p - 160[/tex]
Multiply through by 9
-5p + 846 = 27p - 1440
Collect like terms
27p + 5p = 1440 + 846
Evaluate the sum
32p = 2286
Divide through by 32
p = 71.4375
Substitute p = 71.4375 in [tex]d = \frac{-5}{9}p + 94[/tex]
[tex]d = \frac{-5}{9} * 71.4375 + 94[/tex]
Evaluate
d = 54.3125
Approximate
d = 54
Hence, the value of d at the point of equilibrium, to the nearest whole number is 54
Read more about point of equilibrium at:
https://brainly.com/question/517289
#SPJ4
Answer:
its d :)
Step-by-step explanation:
Benjamín made 3 times more than Alberto and Carlota 2 times more than Benjamín, so how much is it, help me
Step-by-step explanation:
you are "hiding" some more information (like how much they made together).
without that we cannot calculate the actual values.
all I can do is set up the equations expressing the given relations between the parts of the total :
a = amount Alberto made
b = amount Benjamin made
c = amount Carlota made
b = 3×a
c = 2×b = 2× 3×a = 6×a
that's it.
your see ? now we need something that "ties" all 3 together, an equation of all 3 variables, where we can use the first 2 equations (by substitution) and then solve for the remaining third variable.
and that is missing.
if it is something like "together they made x", then we would have
a + b + c = x
a + 3a + 6a = x
10a = x
a = x/10
b and c we get then from the first 2 equations by simply using the calculated value of a :
b = 3×(x/10) = 3x/10
c = 6×(x/10) = 6x/10 = 3x/5
A pedestrian sees a cat stuck in the tree that is 40.4 feet tall and calls 911. A fire truck
arrives and sends a fireman up in a rescue lift to save the cat. If the rescue lift is ascending at
a 45° angle of elevation, how far must the rescue bucket reach to save the cat?
Answer:
the cat should be about 6 or 7 inches away
Step-by-step explanation:
I'm sorry if I was wrong I hope I help
Answer:
57.3 feet
Step-by-step explanation:
Make a right angle triangle. Angle is 45 degrees
hight is 40.4 which is opposite to this angle, that means it's opposite side. And the distance of the bucket to rescue cat is hypotenuse, that's what we are looking for.
apply trig ratio
Sinθ = opposite leg/ hypotenuse
[tex] \sin( 45) = \frac{40.4}{x} \\ x = \ \frac{40.4}{ \sin(45) } \\ x = 57.275 \\ x = 57.3[/tex]
D
(9x -31)
=-2)
+33)
E
ZDCE=
Blank 1:
Answer:
x = 6 [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
From what I think the equation is, I got x = 6 [tex]\frac{8}{9}[/tex]
Find the volume of the following figure using unit cubes.
A.23 units3
B.25 units3
C.27 units3
D.none above
Determine the exact value for each of the 6 trig functions for the point (-2, 6).
Answer:
Sine: 0.94
Cosine: -0.31
Cotangent: -0.3(infinite)
Cosecant: 1.05
Tangent: -3
Secant: -3.16
Formula for finding the 6 trigonometry functions
To find the sine, you must divide the opposite side by the hypotenuse, because the sine is the ratio or fraction whose angle is opposite to the adjacent angle.To find a cosine, you must divide the adjacent angle by the hypotenuse.When finding a cotangent, you must divide the adjacent angle by the opposite, since the cotangent is also a ratio, but not like a sine.When you are finding a cosecant, you divide the hypotenuse by the opposite angle.You find the tangent by diving the opposite angle by the adjacent angle. It is like finding the cotangent but backwards.Last but not least, the secant. You find the secant by dividing the hypotenuse by the adjacent angle.Finding opposite and adjacent angles
To find the opposite angle, one simple way to determine that is to find the opposite side to that angle you are trying to find. For instance, when finding an angle, one side is 200, the adjacent side is 500. We must divide the opposite angle by the adjacent angle to find the missing angle. 200/500 = 0.4, so the missing angle is 0.4.To find the adjacent angle, that is always the side right next to a given angle.Hope this helps!
Step-by-step explanation:
The six trig functions are
[tex] \sin( \alpha ) = \frac{y}{r} [/tex]
[tex] \cos( \alpha ) = \frac{x}{r} [/tex]
[tex] \tan( \alpha ) = \frac{y}{x} [/tex]
[tex] \csc( \alpha ) = \frac{r}{y} [/tex]
[tex] \sec( \alpha ) = \frac{r}{x} [/tex]
[tex] \cot( \alpha ) = \frac{x}{y} [/tex]
Where
[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
[tex]r = \sqrt{ - 2 {}^{2} + {6}^{2} } [/tex]
[tex]r = \sqrt{40} [/tex]
[tex]r = 2 \sqrt{10} [/tex]
So we just plug in -2 for x, 6 for y, and our r value into these functions.
[tex] \sin( \alpha ) = \frac{6}{2 \sqrt{10} } = \frac{3}{ \sqrt{10} } = \frac{3 \sqrt{10} }{10} [/tex]
[tex] \cos( \alpha ) = \frac{ - 2}{2 \sqrt{10} } = \frac{ - 1}{ \sqrt{10} } = \frac{ - \sqrt{10} }{10} [/tex]
[tex] \tan( \alpha ) = \frac{6}{ - 2} = - 3[/tex]
Csc is the reciprocal of sine.
[tex] \csc( \alpha ) = \frac{ \sqrt{10} }{3} [/tex]
Sec is the reciprocal of cosine
[tex] \sec( \alpha ) = - \sqrt{10} [/tex]
Cot is the reciprocal of tan
[tex] \cot( \alpha ) = - \frac{1}{3} [/tex]
please help.... asap
Answer:
GCF is less than 3:
- 12 and 13
GCF is equal to 3:
- 6 and 27
- 12 and 21
- 3 and 6
GCF is greater than 3:
- 4 and 12
- 6 and 18
Step-by-step explanation:
6 and 27 GCF: 3
12 and 13 GCF: 1
4 and 12 GCF: 4
3 and 6 GCF: 3
12 and 21 GCF: 3
6 and 18 GCF: 6
Hyla has blocks of clay that are each 4 centimeters by 4 centimeters by 2 centimeters. She needs to cover the bottom of a box with a 2-centimeter tall layer of clay. The bottom of the box is 24 centimeters long and 20 centimeters wide. How many blocks of clay does Hyla need?
The number of blocks of clay needed by Hyla is 30 blocks
What is area?Area is the region bounded by a plane shape.
To calculate the number of blocks of clay needed by Hyla, we find the area of the bottom of the box and divide it by the area of the block.
Formula:
n = LWH/lwh............... Equation 1Where:
n = Number of blocks of clay needed by HylaL = Length of the bottom of the boxW = Width of the bottom of the boxH = Height of the boxl = Length of the bottom of the blockw = Width of the blockh = Height of the block.From the question,
Given:
L = 24 cmW = 20 cmH = 2 cml = 4 cmw = 4 cmh = 2cmSubstitute these values into equation 1
n = (24×20×2)/(4×4×2)n = 30Hence, The number of blocks of clay needed by Hyla is 30 blocks
Learn more about area here: https://brainly.com/question/2217700
#SPJ1
3 . Which graph represents a function?
Answer:
There is no graph....
Step-by-step explanation:
But I believe this is the graph you are talking about
Therefor Graph D represents a function.
1. In 2012, the population of a city was 5.63 million. The exponential growth rate was 1.45% per year.
a) Find the exponential growth function.
b) Estimate the population of the city in 2018.
c) When will the population of the city be 10 million?
d) Find the doubling time.
The exponential function is P = 5.63(1.0145)ⁿ. And the population of the city in 2018 is 6.1379 million, the number of the years when the population of the city is 10 million is 40 years, and the doubling time will be 49 years.
What is an exponent?The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
In 2012, the population of a city was 5.63 million. The exponential growth rate was 1.45% per year.
Then the exponential function will be given as
P = 5.63 (1.0145)ⁿ
Where P is the population (in million) and n is the number of years.
Then the population of the city in 2018 will be
n = 2018 - 2012 = 6
Then we have
P = 5.63 (1.0145)⁶
P = 5.63 x 1.0902
P = 6.1379 million
The number of the years when the population of the city is 10 million.
10 = 5.63 x (1.0145)ⁿ
1.776 = (1.0145)ⁿ
Taking log both sides, then we have
log 1.776 = n x log 1.0145
n = 39.90
n ≅ 40 years
Then the doubling time will be
2 = (1.0145)ⁿ
Taking log on both sides, then we have
log 2 = n x log1.0145
n = 48.1489
n ≅ 49 years
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ1
I need help to understand Prime Factorization and Exponents
2 × 2 × 13 × 13 × 17 = 2x × 13y × 17z where x=____ , y=____ , z=____
Answer:
x = 2, y = 13, z = 1
Step-by-step explanation:
2 * 2 * 13 * 13 * 17 is equal to 2x * 13y * 17z.
knowing that 2x = 2 * x
therefore
2 * 2 * 13 * 13 * 17 * 1
2 * x * 13 * y * 17 * z
meaning that
x = 2, y = 13, z = 1
need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight.
Let's consider the information given:
Volume: 678.24 yd³radius: 6 yd[tex]\pi[/tex] = 3.14Let's consider what we want to find:
HeightLet's consider how the: ⇒ volume, radius, height ⇒ are related
[tex]Volume = \pi *(radius)^2*height[/tex]
Let's Solve:
[tex]678.24=3.14 *(6)^2*height\\height=6_.yd[/tex]
Answer: 6 yd
Hope that helps!
If f(x) = x and g(x) = 2, what is (f•g)(x)?
Answer:
(f•g)(x) = (x)(2) = 2x
Step-by-step explanation:
(f•g)(x) is the "product" of functions f and g:
(f•g)(x) = (x)(2) = 2x
f a seed is planted, it has a 85% chance of growing into a healthy plant. If 9 seeds are planted, what is the probability that exactly 1 doesn't grow?
The probability that exactly 1 doesn't grow will be 0.07
What is Probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We can use Bernoulli estimation to solve this. P(g) = 0.85, probability of not growing into healthy plant P(n) = 1-P(g) = 1 - 0.85 = 0.15
Using the Bernoulli approximation:
P(n=1)=⁹C₁xP(n)¹.⁵xP(g)⁸.⁵
P(n=1)=9x0.15¹.⁵x0.8⁸.⁵
P(n=1)=0.07
Hence the probability that exactly 1 doesn't grow will be 0.07
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
A book rests on a table. The force of gravity pulls down on the book with a force of 25 newtons. What prevents the book from accelerating downward at 9. 8 m/s2?.
Answer:
the table is pressing back on the boom with its own force which is greater than gravity
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
x>10
Step-by-step explanation:
Think of the < and > signs as arrow marks
Whichever direction the arrows pointing, that's where you should plot.
The line graph shown goes rightwards, so use the sign that looks like it's pointing right. (>)
Finally, don't use the greater than or equal to sign because the circle isn't colored in. This means that it doesn't include 10, only numbers higher than 10.
a y
Which is the graph of
12
a.
c.
5
3
2
2
1+
1+
A+
-5 4 -3 -21
7
1 2 3
4 5
1
5
- -2
חס
1
-1
-2 +
-2+
-3+
3
4
-5
d.
b.
5
4
4
3
Next
Submit
Save and Exit
Mark this and return
Step-by-step explanation:
we don't see all answer options.
but I am sure it must be b.
simply because the right graph shows that the curve goes through
(4, 0) and (-4, 0)
and
(0, 3) and (0, -3)
but if I am mistaken about b showing that, please pick the graph that shows this.
the reason is to think when is the x term being 1, when y = 0, and when is the y term being 1, when x = 0.
these are some "cornerstones" for the graph based on the functional definition.
and the answers are the points listed above.
C/2 + 5 = 1
Answer Please
Answer: c= -8
Step-by-step explanation:
c/2=-4
-8/2=-4
-4 +5=1
ok ok ok ok ok ok ok
Answer:
3: equally likely
4: likely
Step-by-step explanation:
Question 3:
the spinner has 1, 2, 3, 4, 5, 6
2, 4, 6 are all even number which is 3 / 6 = 1 / 2
so half a chance can be odd or half even possibility of landing
Question 4:
- 13 yellow
- 4 green
- 3 blue
total marbles: 13 + 4 + 3 = 20
yellow / total = 13 / 20
which is more than half of the marbles are yellow
26. About 1.48 x 108 square kilometers of Earth's surface
is land; the rest, about 3.63 x 108 square kilometers, is
water. If a returning space capsule lands at a random
point on Earth's surface, which of the following is the
best estimate of the probability that the space capsule
will land in water?
F. 80%
G. 71%
H. 65%
J. 41%
K. 29%
Answer:
[tex]P=0.71[/tex] or 71%
Explanation:
[tex]P=\frac{3.63*10^2}{1.48*10^8+3.63*10^8}[/tex]
[tex]=\frac{3.63}{5.11} =0.71[/tex] or 71%
factor completely
2c^3-22c^2+48c
Answer:
2c(c - 3)(c - 8)
Step-by-step explanation:
Hello!
Factor:
2c³ - 22c² + 48c2c(c² - 11c + 24)Think: What two numbers multiply to 24, and add up to -11?
Answer: -8 and -3
Split up the -11c into -8c and -3c:
2c(c² - 8c - 3c + 24) (factor each pair)2c( c(c - 8) - 3(c - 8)) 2c(c - 3)(c - 8)How much profit did jamie make if he sold 87tickets for his treasure when he changes r 2.00 per entry and all the prizes have cost him a total of r 69.80
Answer:
r 104.20
Step-by-step explanation:
87tickets x r 2.00 = 174
174 - 69.80 = r 104.20
Find the volume of the sphere.
Answer:
V = 4/3 πr³
Step-by-step explanation:
Find the volume of the sphere
since there is no data, I mean you are looking for the formulaThe formula for the volume of a sphere is V = 4/3 πr³.
Answer:
volume of sphere is the capacity it has. It is the space occupied by the sphere. The volume of sphere is measured in cubic units, such as m3, cm3, in3,
deviation = ((absolute value of the difference between expected heads and observed heads) + (absolute value of the difference between expected tails and observed tails)) divided by total number of tosses. This value should always be positive.
1. In tossing one coin 10 times, what are your chances for tossing a head? a tail?: When I tossed one coin 10 times, I got heads 4 times and I got tails 6 times.
2. In tossing one coin 100 times, what are your chances for tossing a head? a tail?: I got heads 55 times and tails 45 times when I tossed one coin 100 times.
3. In tossing one coin 200 times, what are your chances for tossing a head? a tail?: When I flipped one 200 times, I got heads 92 times, and tails 108 times.
4. What is the deviation for 10 tosses?: 0.1
5. What is the deviation for the 100 tosses?
6. What is the deviation for 200 tosses?
7. How does increasing the total number of coin tosses from 10 to 100 affect the deviation?
8. How does increasing the total number of tosses from 100 to 200 affect the deviation?
When a coin is tossed ten times, the probability of getting a head will be 1/2.
How to solve the probability?In probability, one can either get a head or a tail. Therefore, when a coin is tossed ten times the probability of tossing a head will be:
= 5/10 = 1/2
In tossing one coin 100 times, the chances for tossing a head will be:
= 1/2 × 100 = 50
In tossing one coin 200 times, the chances for tossing a head will be:
= 1/2 × 200
= 100
In conclusion, the deviation for 10 tosses is 0.1
Learn more about probability on:
https://brainly.com/question/24756209
#SPJ1
135 high-school freshmen were interviewed:
35 of them took physical education (P.E.);
42 took BIO (biology);
60 took ENG (English);
10 took P.E. and BIO;
15 took P.E. and ENG;
7 took BIO and ENG; and
5 took all three subjects.
-----
How many students took ENG but neither BIO nor P.E.?
The number of students that took ENG but neither BIO nor P.E is 43.
What is set?A set is a collection of well-defined objects called elements of the given set.
Analysis:
see diagram below
In conclusion, the number of students that took ENG but neither BIO nor P.E is 43
Learn more about set : brainly.com/question/2166579
#SPJ1
Find the slope of the LM on the graph
