Answer:
[tex]8(156 \times 1.1) + 12(156 \times 1.2) [/tex]
The volume of a pyramid that fits exactly inside a cube is 9 cubic feet. what is the volume of the cube? 3 cubic feet 6 cubic feet 18 cubic feet 27 cubic feet
The volume of a pyramid that fits exactly inside a cube is 9 cubic feet is 3 cubic feet
Volume of a pyramidThe formula for calculating the volume of a pyramid is expressed as:
V = Base area. * height/3
Since it is a cube with a volume of 9 cubic feet, the length of the cube will be:
l = ∛9
l = 2.08
Determine the volume of the pyramid
V = 9/3
V = 3 cubic feet
Hence the volume of a pyramid that fits exactly inside a cube is 9 cubic feet is 3 cubic feet
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A class has seven students. what is the probability that exactly four of the students were born on a weekday (monday through friday)?
The probability that exactly four of the students were been born on a weekday (i.e. Monday through Friday) is 0.2125.
What is the probability of determining that exactly four students were born on a weekday?To determine the probability, we need to first find the probability of having a student being born on a weekday.
[tex]=\mathbf{\dfrac{5}{7}}[/tex]
The probability of having 4 students born on a weekday is:
[tex]=\mathbf{(\dfrac{5}{7})^4}[/tex]
Since we have 4 students, we also need to find the probability of the students that are not being born, which is:
[tex]=\mathbf{(\dfrac{2}{7})^3}[/tex]
Also, there are [tex](^7_4)[/tex] = 35 ways to get four students out of seven students.
Therefore, we have the probability as:
[tex]\mathbf{P = 35 \times (\dfrac{5}{7})^4 \times (\dfrac{2}{7})^3}[/tex]
P = 0.2125
Therefore, we can conclude that the probability that exactly four of the students were born on a weekday is 0.2125.
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A ring-shaped region is shown below.
Its inner diameter is 16 ft. The width of the ring is 2 ft.
it
16 ft
Find the area of the shaded region.
Use 3.14 for . Do not round your answer.
X5?
Answer:
Area = 213.52 sq.ft
Step-by-step explanation:
[tex]A_{s} =\pi (18)^{2} -\pi (16)^{2} =324\pi -256\pi =68\pi[/tex]
[tex]\pi =3.14[/tex]
[tex]A_{s} =68(3.14)=213.52sq.ft[/tex]
Hope this helps
Answer:
113.04 ft²
Step-by-step explanation:
The area of the ring can be found by multiplying its center-line length by its width.
__
The diameter of the circle that is the center-line of the ring is ...
16 ft + 2 ft = 18 ft . . . . center-line diameter
The length of the center-line is then ...
C = πd
C = 3.14(18 ft) = 56.52 ft
And the area of the ring is ...
A = LW = (56.52 ft)(2 ft) = 113.04 ft²
The shaded area is 113.04 square feet.
find the area of a triangle with the side lengths 14, 14, and 20
Answer:
Step-by-step explanation:
HELP
type of equation:
equation:
f(5)=
Answer:
Types of Equations and Examples
Types of Equations and Examples
There are various types of equations, such as,
Linear equation
Equation with one variable
Equation with two variables
Equation with three variables
Polynomial equation
Monomial Equations
Binomial Equation
Trinomial Equation
Quadratic equation
Trigonometric equation
Radical equation
Exponential equation
Rational equation
types of equations
types of equations
1. Linear Equation:
A linear equation is an algebraic equation. In linear equation, each term is either a constant or the product of a constant and a single variable. If there are two variables, the graph of linear equation is a straight line.
General form of the linear equation with two variables is given below:-
y = mx + c, m ≠ 0.
Equation with one Variable: An equation who have only one variable, e.g.
12x – 10 = 0
Step-by-step explanation:
There are 3 items in an order. They cost $14.65, $8.49, and $10.99. The sales tax for this order is 7.5%.
What is the total cost of the order?
$34.13
$35.84
$36.52
$36.69
Answer:
(d) $36.69
Step-by-step explanation:
The total cost of the order is the sum of the costs of the items and the tax on that subtotal.
__
The price after tax can be found using the multiplier (1 +tax rate) applied to the subtotal.
total cost = ($14.65 +8.49 +10.99)×(1 +0.075) = $34.13×1.075
total cost = $36.69
Answer: $36.69
Step-by-step explanation: K12 Test 8.02 Grade 7 Semester B Test - Part 1
10. Find the standard equation of the circle having the given center and radius.
Answer:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (3, 5) and r = , hence
(x - 3)² + (y - 5)² = ( )², that is
(x - 3)² + (y - 5)² = ← equation of circle
Step-by-step explanation:
HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP pls
Answer:
28.27
Step-by-step explanation: used to do acellus too
A scientist is interested in the relationship between the number of eggs hatched per day for frogs (y) and temperature. Based on
the collected data, the least-squares regression line is ý = 15.66 +3.58x, where x is the number of degrees by which temperature
exceeds 60 degrees Fahrenheit. Which of the following statements best describes the meaning of the slope of the least-squares
regression line? (3 points)
For each increase of one degree Fahrenheit per day, there is an estimated increase of 15.66 hatched eggs.
O For each increase of one hatched egg, the estimated temperature per day increases by 15.66 degrees Fahrenheit.
O For each increase of one degree Fahrenheit per day, there is an estimated increase of 3.58 hatched eggs.
For each increase of one hatched egg, the estimated temperature per day increases by 3.58 degrees Fahrenheit.
The slope has no meaning because the units of measure for x and y are not the same.
There is an estimated rise of 3.58 hatched eggs for every one degree Fahrenheit increment every day. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A scientist is interested in the relationship between the number of eggs hatched per day for frogs (y) and temperature.
Based on the collected data, the least-squares regression line is y = 15.66 +3.58x, where x is the number of degrees by which temperature exceeds 60 degrees Fahrenheit.
For each increase of one degree Fahrenheit per day, there is an estimated increase of 3.58 hatched eggs.
Thus, the correct option is B.
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Answer: For each increase of one degree Fahrenheit per day, there is an estimated increase of 3.58 hatched eggs
Step-by-step explanation:
took the test :)
what does the 0.3in the highlighted cell mean?
Answer:
it will be 30% in the highlighted cell
Step-by-step explanation:
hope this helps
Consider a situation in which p(x) = and p(y) = . if p(x and y) is = , which best describes the events? they are independent because p(x) · p(y) = p(x and y). they are independent because p(x) p(y) = p(x and y). they are dependent because p(x) · p(y) = p(x and y). they are dependent because p(x) p(y) = p(x and y).
Considering the given probabilities, it is found that the correct option about whether the events are independent is given as follows:
p(x) · p(y) = p(x and y). They are independent because p(x) p(y) = p(x and y).
What are independent events?Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Researching this problem on the internet, the probabilities are given as follows:
[tex]P(X) = \frac{4}{5}, P(Y) = \frac{1}{4}, P(X \cap Y) = \frac{1}{5}[/tex]
Hence:
[tex]P(X)P(Y) = \frac{4}{5} \times \frac{1}{4} = \frac{1}{5} = P(X \cap Y)[/tex]
Hence the events are independent and the correct option is given by:
p(x) · p(y) = p(x and y). They are independent because p(x) p(y) = p(x and y).
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in how many ways can 4 people be seated in a row of 12 chairs
Answer:
11,880.
Step-by-step explanation:
This is given by the number of permutations of 4 from 12
= 12P4
= 12!/(12-4)!
= 12!/8!
= (12*11*10*9*8*7*6*5*4*4*2*1) / (8*7*6*5*4*4*2*1)
= 12^11*10*9
= 11,880.
if x-2y=10 and x≠0, what is the value of 2x/y+5
Answer: 4
Step-by-step explanation:
x - 2y =10
x = 10 + 2y
[tex]\frac{2x)}{y + 5}[/tex]
[tex]\frac{2(10+2y)}{y+5}[/tex]
[tex]\frac{20+4y}{y+5}[/tex]
[tex]\frac{4(5+y)}{y+5}[/tex] ... cancel like terms (y + 5)
= 4
1) Set up, but do not solve, a system of equations for the following application: A nurse mixes a 100% saline solution with a 20% saline solution to produce 160 milliliters of a 25% saline solution. How much of the 100% saline solution and how much of the 20% saline solution were used?
The systems of the equations for the word problem can be expressed as:
x + y = 500 --- (1)100x + 20y = 4000 --- (2)What is a system of equations?The system of equations is a set of simultaneous equations that comprises two or more equations expressed in algebraic terms.
From the given information, we are to determine two quantities
i.e.
For 100% saline solution (x) andFor 20% saline solution (y)So, 100% and 20% of saline solution produce 160 millimeters.
x + y = 160
Also, the combination of 100% and 20% of saline solution give an average of 25%.
The average now = sum of numbers/ the total numbers
25% = sum of numbers/160
sum of numbers = 25% (160)
Therefore, we can equate it to the mixture carried out by the nurse.
i.e.
25% (160) = 100%(x) + 20%(y)
100x + 20y = 4000
Therefore, the systems of the equations are:
x + y = 500 --- (1)
100x + 20y = 4000 --- (2)
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I need help with this its like a fraction
[tex]\frac{10^8}{10^6} = 10^{8-6} = 10^2 = 100[/tex]
The rule used is
[tex]\frac{a^b}{a^c} = a^{b-c}[/tex]
Subtract the exponents when dividing exponentials like this of the same base.
Find the volume of the cylinder (3.14 for pi)
Answer:
The volume of the cylinder is equal to 70.65 cm³.
General Formulas and Concepts:
Geometry
Volume Formula [Cylinder]: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify given variables from diagram.
r = 3 cm
h = 2.5 cm
Step 2: Find Volume
[Volume Formula - Cylinder] Substitute in variables:∴ we found the volume of the cylinder to be 70.65 cm³.
---
Topic: Geometry
what is the lowest common multiple of 8,12,9
Answer:
LCM of 8, 9, and 12 is 72.
Step-by-step explanation:
The LCM of three non-zero integers, a(8), b(9), and c(12), is the smallest positive integer m(72) that is divisible by a(8), b(9), and c(12) without any remainder.
appreciate it if someone will follow me.
Answer:
72
Step-by-step explanation:
To find the Lowest Common Multiple (LCM), prime factorize the included terms, and multiply the factors of each number of the highest power together.
Prime factorizing
8 = 2³12 = 2² x 39 = 3²LCM (8, 12, 9)
= 2³ x 3²
= 8 x 9
= 72
The function f(x) = –two-sevenths (five-thirds)x is reflected over the y-axis to create g(x). which points represent ordered pairs on g(x)? check all that apply. (–7, –10.206) (–2.5, –4.474) (0, –1.773) (0.5, –0.221) (4, –0.017) (9, –0.003)
The points on the function g(x) are (–7, –10.206) (–2.5, –4.474), (0.5, –0.221) (4, –0.017) (9, –0.003)
How to determine the point on g(x)?The function f(x) is given as:
[tex]f(x) = -\frac 27(\frac 53)^x[/tex]
The rule of reflection across the y-axis is:
g(x) = f(-x)
So, we have:
[tex]g(x) = -\frac 27(\frac 53)^{-x[/tex]
All the points in the options are on the curve of the function g(x) except (0, -1.773)
Hence, the points on the function g(x) are (–7, –10.206) (–2.5, –4.474), (0.5, –0.221) (4, –0.017) (9, –0.003)
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Answer: 1 4 6
Step-by-step explanation: its right bro.
find the arc length of a central angel of 36 degrees in a circle whose radius is 2 inches
[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=2\\ \theta =36 \end{cases}\implies s=\cfrac{(36)\pi (2)}{180}\implies s=\cfrac{2\pi }{5}\implies s\approx 1.26~in[/tex]
line plots please help
Answer:
46 hours do the students play video games per week
Factor: n^2 + 10n + 25
A) (n+5)^2
B) (n-5)^2
C) (n+25)(n+1)
D) (n+5)(n-5)
Answer:
A) (n+5)^2
Step-by-step explanation:
(n+5)^2
(n+5)(n+5)
n*n = n^2
(n*5)+(n*5) = 10n
5*5 = 25
Zora owns an online fashion boutique. She launched a promotion where followers of her social media account who tag a friend are entered into a giveaway. The linear relationship between the hours since launching the promotion and her total number of followers on social media is shown on the graph below. a. Find the rate of change and explain its meaning. mt
An equation is formed of two equal expressions. The equation that can be used to represent the graph is y=50x+300.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A.) The rate of change, in this case, signifies the number of followers Zora is gaining per hour. It can be found using any two coordinates of the line.
(x₁ , y₁) = (0,300) = coordinate of point 1,
(x₂ , y₂) = (2,400) = coordinate of point 2,
Now, the rate of change or the slope will be equal to,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{400-300}{2-0} = 50[/tex]
Hence, the rate at which Zora will gain followers is 50 followers/hour.
B.) The y-intercept is the value of y when the value of x is 0. Therefore, the y-intercept of the function is 300.
The y-intercept of the graph is 300, which means at the very initial stage Zora will have 300 followers.
C.) The graph is represented by a line, and the general equation of a line is represented by y=mx+c. To know the value of the constant c, substitute the value of the slope and any coordinate in the equation.
[tex]y=mx+c\\300=50(0)+c\\c=300[/tex]
Hence, the equation that can be used to represent the graph is y=50x+300.
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You have been given data about gas prices in 15 states.
2018 Gas Price Data
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.1098
What does the range, standard deviation, and variance say about gas prices in 2018?
The range, standard deviation, and variance say about gas prices in 2018 discussed below
What is standard deviation and variance?Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.
As the variance in 2018 is 0.0121.
A model with low variance means sampled data is close to where the model predicted it would be.
As the standard deviation in 2018 is 0.1098.
Low standard deviation means data are clustered around the mean
A small range means low variability in a distribution.
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Under her cell phone plan, Ella pays a flat cost of $37.50 per month and $5 per gigabyte. She wants to keep her bill at $59 per month. How many gigabytes of data can she use while staying within her budget?
The number of gigabytes of data can she use while staying within her budget should be less than 4.3 gigabytes.
What is a linear equation?Linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
Under her cell phone plan, Ella pays a flat cost of $37.50 per month and $5 per gigabyte.
She wants to keep her bill at $59 per month.
Then the number of the gigabytes of data can she use while staying within her budget will be
Let x be the number of the gigabytes. Then the equation will be
5x + 37.5 < 59
5x < 21.5
x < 4.3
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13+-2x=-17 help abs explain steps if u can please
please please help. Will give brainliest
PLEASE HELP ME ASAP :(
Answer:
Step-by-step explanation:
Refer the attachment
Answer:
752.5 in³
Step-by-step explanation:
Volume of composite solidRectangular prism:
l = 10 in ; w = 7 in ; h = 8 in
[tex]\boxed{\text{Volume of rectangular prism=l*w*h}}[/tex]
= 10 * 7 * 8
= 560 in³
Half cylinder:
Diameter of the cylinder will be equal to the width of the rectangular prism.
r = 7/2 = 3.5 inches ; h = 10 in
[tex]\boxed{\text{Volume of half cylinder =$\dfrac{1}{2}\pi r^2h$}}[/tex]
[tex]\sf =\dfrac{1}{2}*3.14*3.5*3.510\\\\ = 192.5 \ in^3[/tex]
Volume of composite figure = 560 - 192.5
= 752.5 in³
Calculate the surface area of the polyhedra
23 lbs of onions cost $46. How many lbs of onions can you get with $30 ?
Answer:
15 lbs of onions.
Step-by-step explanation:
23 lbs divided by $46 = 0.5 lbs per $1
0.5 lbs times $30
15 lbs
=============================================================
Work Shown:
(23 pounds)/(46 dollars) = (x pounds)/(30 dollars)
23/46 = x/30
1/2 = x/30
1*30 = 2*x
30 = 2x
2x = 30
x = 30/2
x = 15
---------------
Another approach:
Divide the cost over the number of pounds to find the unit price
46/23 = 2
The onions cost $2 per pound.
If x is the number of pounds, and we pay $30, then
2x = 30
x = 30/2
x = 15
Meaning 15 pounds of onions cost $30.
determine the equation for the given information
point-slope form
y - y₁ = m(x - x₁)
[tex]y-1=-\frac{1}{2}(x-8)\\\\y-1=-\frac{1}{2}x+4\\\\y=-\frac{1}{2}x+5[/tex]
The answer is A) Choice A.