Answer:
c
Step-by-step explanation:
(a) A regular 16- gon is a convex polygon ← True
(b) It has 16 congruent sides ← True
(c)
the sum of the interior angles of a regular polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 16 , then
sum = 180° × 14 = 2520°
thus 2880° is False
(d)
the sum of the exterior angles of any polygon = 360° ← True
Solve z3 = 27.
please help due in 1 hour
whoever gets it right gets a crown
Answer:
z = 9
Step-by-step explanation:
Divide both sides by 3 to get z by itself
Solve each equation or inequality.
2-3 x<11
After solving the equation, x < -3 is the value of inequality 2-3 x<11
⇒ 2-3x < 11
⇒ -3x < 11 - 2
⇒ -3x < 9
⇒ x < -9/3
⇒ x < -3
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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(5x + 9) + (8x - 30) = 180
Hello and Good Morning Afternoon:
Let's take this problem step-by-step:
[tex](5x + 9) + (8x-30)=180\\\\\text{Take out the parentheses as they are unnecessary to solve this problem}\\5x + 9+8x-30=180\\\\\text{Combine like terms like variables to variables and constants to constants}\\5x + 8x + 9-30 = 180\\13x - 21=180\\13x = 201\\x = 15.46 \text{ or }\dfrac{201}{13}[/tex]
Answer: 15.46 or 201/13
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does someone mind helping me with this question? Thank you!
Answer:
84 Meters^3
Step-by-step explanation:
Since this is a three dimensional object, you need to have an exponent of 3
Some people think that the Spaceship Earth geosphere at Epcot in Disney World in Orlando, Florida, resembles a golf ball. The building is a sphere measuring 165 feet in diameter. A typical golf ball has a diameter of approximately 1.5 inches.
d. What is the ratio of the volumes of Spaceship Earth to a golf ball?
The ratio of the volumes of the Spaceship Earth to a golf ball = 1926949795 : 1
We need to find the volumes of the Spaceship Earth and a golf ball.
Spaceship Earth
Radius, R = 165/2 ft = 82.5 ft
Volume of the Spaceship Earth = [tex]\frac{4\pi R^3}{3}[/tex] = (4 x 3.14 x 561515.625)/3
= 2350878.75 cubic ft.
A golf ball
Radius = 1.5/2 inches = 0.75 inches
1 ft = 12 inches
So 0.75 inches = 0.75/12 = 0.0625 ft.
So radius, r = 0.0625 ft
Volume of a golf ball = [tex]\frac{4\pi r^3}{3}[/tex] = (4 x 3.14 x [tex]0.0625^3[/tex])/3
= 0.00122 cubic ft.
Ratio of the volumes of Spaceship Earth to a golf ball
= 2350878.75:0.00122
= 1926949795 : 1
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ndclhdabcDC.sbdcb.dschsd
Answer:
I agree thanks for the points
Step-by-step explanation:
Answers please help me
Answer:
Rita: r - 5= 2c, or r - 5= 2(36), or r - 5 = 72
Cora: (r - 5)/2 = 36
Step-by-step explanation:
Rita had r apps (let r = Rita original apps)She deleted 5 of them so r-5 She now has twice the number of apps as Cora so r-5 = 2c (let c = Cora's total apps) Cora's total apps are 36 so Rita's equation is r-5= 2(36) which means Rita equation for her number of apps is r-5= 72. As for Cora her equation is c= 36 but in relation to Rita's number of apps it's (r-5)/2 = 3612. Let f(x)= -8x+5. Find f(1/2)
13. Let g(x) = -x^2+5x+2. Find and simplify g(-3)
14. Let f(x) = -5x+6. Find and simplify f(x+3)
f(x+3) =
36. Where's the bus? Sally takes the same bus to work every morning. The amount of
time (in minutes) that she has to wait for the bus to arrive is described by the
uniform distribution below.
0
10
1
Height =
10
(a) Explain why this curve satisfies the two requirements for a density curve.
(b) On what percent of days does Sally have to wait more than 8 minutes for
the bus?
(c) On what percent of days does Sally wait between 2.5 and 5.3 minutes for
the bus?
According to the question, every morning Sally takes same bus and she has to wait to arrive with the used method called as uniform distribution.
And the range of the interval is as: min = 0 and max = 10.
For the calculation of the uniform distribution, the height some be constant.
Now, using standard uniform distribution formula:
Mathematically, the function f(x) can be written as:
f(x) = 1/(b - a)
where, 'a' and 'b' are defined intervals. Here, a = 0; b = 10.
Now, to calculate the percentage form the area as a rectangular grid which means:
f(x) = 1/10(5.3 - 2.5) = 2.8/10 = 0.28 = 28 percent.
Now, to know the percentile using above data:
f(x) = 1/(b - a) = 7/10 = 0.7 = 70 percent.
What is uniform distribution?
The uniform distribution is also called as density function which the nature of the two or more than two function should be equal or same.
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B
Find AB in AABC.
Round to the nearest tenth.
65°
81°
C
A
10
Answer:
(10 *sin(81))/sin(34)=17.66>>>17.7
Wayne bought ______ ounces of blueberries.
Wayne bought 72 ounces of blueberries.
How many ounces did he buy?
A fraction is a non-integer that is made up of a numerator that is divided by a line from the denominator. An example of a fraction is 1/2. 1 is the numerator and 2 is the denominator.
The first step is to determine the total fraction of blueberries that was used.
[tex]\frac{3}{8} + \frac{1}{6} + \frac{5}{12}[/tex]
[tex]\frac{27 + 12 + 30}{72}[/tex] = [tex]\frac{69}{72}[/tex]
Ounces of blueberries he bought = (ounces used ÷ fraction of blueberries used)
69 ÷ [tex]\frac{69}{72}[/tex]
69 x 72/69 = 72 ounces
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x+1/7y=4 y=3x-2 how do you find x and y
The values for the variables 'x' and 'y' are (3,7).
According to the question, to calculate the value of 'x' and 'y' then equate both the equations.
The given expressions are:
Equation (1): x + (1/7)y = 4 ⇒ 7x + y = 28
Equation (2): y = 3x - 2
Solving equation (1) and equation (2) by substituting the value of the 'y':
Therefore, 7x + 3x - 2 = 28 ⇒ 10x = 30 ⇒ x = 3
Now: y = 3(3) - 2 = 7
Hence, the values are: x = 3 and y = 7.
What is simplification?
Simplification of an expression can be defined as by making the complicated expression as less complicated. And through this method, it become easy to solve it and find the correct answer.
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What is 6(2a-3)-2a=7(a-1)+3a
answer:
this is the solution
Please help very important!
Determine if each function is a vertical stretch or vertical compression of the parent function y=|x| .
y= 3/2|x|
Vertically Stretching and Compressing
Multiplying a function by positive constant yields a function whose graph is vertically stretched or compressed relative to the original function's graph. If the constant is greater than 1, it will stretch vertically. If the constant is between 0 and 1, vertical compression is done. You get vertical compression.
Vertical compression occurs when you multiply the function by a rational scaling factor. The base of the function graph remains the same even when the graph is compressed vertically. Only initial values are affected.
Reflect across the x-axis Vertically stretch a factor of 3/2
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A certain species of fish costs $3.49 each. You can spend at most $30: How many of this type of fish can you buy for your aquarium?
Christopher is the oldest of three siblings whose ages are consecutive odd integers. If the sum of their ages is 63, find Christopher's age.
Answer: 50
Step-by-step explanation: because
A student walked 100 meters north, then 100 meters west. How many more meters did the student walk compared to their total displacement from their starting point?.
Using Pythagorean theorem, the student walked 53.58 meters more compared to the total displacement from the starting point.
If a student walks 100 meters north, then 100 meters west, then the path he travels resembles the sides of a right triangle (see attached photo).
Using Pythagorean theorem, we can solve for the total displacement from the starting point to the end point.
c^2 = a^2 + b^2
where c is the total displacement from the starting point to the end point
a is the distance he walks up north
b is the distance he walks to the west
c^2 = 100^2 + 100^2
c^2 = 10,000 + 10,000
c^2 = 20,000
c = 141.42 meters
Comparing the total distance the student walked and the total displacement from the starting point to the end point by subtraction.
100 meters + 100 meters - 141.42 meters = 53.58 meters
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Simplify.
√6 / √3 . √8 / √3
The simplified value of the given expression is √6√8 / 3.
What is rationalization?Rationalization is a mathematical operation that allows us to determine or eliminate a root of the denominator of a fraction, so that it can be expressed in linear form, either decimal or integer, by the product of a root.
As defined above, we must perform a mathematical operation to eliminate the root of the denominator without altering the value.
(√6 / √3) (√8 / √3) we have a common denominator.
√6 √8/(√3)²
√6√8 / 3 is the result.
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100 POINTS + BRAINLEIST ANSWER ASAP
Answer:
Ori's definition = incorrect
Daniella's definition = hip , hip hurray!!!
Kaori's definition= part of your definition is correct , but other part is
Answer:
daniel: second one
ori: third one
kaori: first one
Step-by-step explanation:
For each rational function, find any points of discontinuity.
y=2x-1 / x²+4
In rational functions, the discontinuities are caused by the denominator terms. Since the denominator of a fraction is non-zero, any term multiplied by the denominator is also non-zero.
To find the discontinuities, we need to factor the polynomial below. Once we have the two binomials, we set each to 0. This way, you can find the value that produces 0 in the denominator.
If x = -2 then (x^2) + 4 is 0.
So, the discontinuities are shown as x = -2
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Determine whether the given conclusion is based on inductive or deductive reasoning.
If Beth turns in her report early, she receives extra credit. Beth turned in her report early. She concludes that she will receive extra credit.
The given conclusion is deductive reasoning.
What are Inductive reasoning and Deductive Reasoning?Inductive reasoning is a bottom-up technique, whereas deductive reasoning is a top-down approach. Inductive thinking proceeds from the particular to the universal, whereas deductive reasoning proceeds from general premises to specific conclusions.
Given the statements; If Beth turns in her report early, she receives extra credit.
Beth turned in her report early.
She concludes that she will receive extra credit.
From the sentences, the first sentence is a general statement, the second statement is a specific statement. And, the third statement is a conclusion statement.
Therefore, the given conclusion is deductive reasoning.
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What is the sum of each finite series?
b. Σ ⁴ n=1 n³
The sum of the given finite series is 100
The summation notation tells us how to sum each term in a series.
Example:
[tex]\sum\limits^5_{n=1} {3n+1}[/tex]
means we need to evaluate the sum of (3n+1) as n moves from 1 to 5. Here 1 is the lower limit, while 5 is the upper limit.
The given series is:
[tex]\sum\limits^4_{n=1} {n^{3}}[/tex]
Expand this series:
[tex]\sum\limits^4_{n=1} {n^{3}}=1^{3}+2^{3}+3^{3}+4^{3}[/tex]
1³ = 1
2³ = 8
3³ = 27
4³ = 64
Hence,
1³ + 2³ + 3³ + 4³ = 1 + 8 + 27 + 64 = 100
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The expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped. What is the distance the object falls during each time?
10 seconds
If the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped, then the distance the object falls during 10 seconds is 1600 foot
Given,
The algebraic expression of the distance in feet that an object falls = [tex]16t^{2}[/tex]
Where t is the time in seconds
Here,
time t = 10 seconds
Substitute the value in the expression
[tex]16t^{2}=16(10)^{2}[/tex]
=1600 foot
Hence, If the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped, then the distance the object falls during 10 seconds is 1600 foot
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Mohammad leaves home walks 5 blocks to the library. he then walks 2 blocks toward home to meet up with his friend. together, he and his friend walk to the library together. how far did mohammad walk?
If Mohammad leaves home walks 5 blocks to the library and he then walks 2 blocks toward home to meet up with his friend and then together, he and his friend walk to the library together, then Mohammad walked for 9 blocks.
To calculate how far Mohammad walked we use addition.
Total blocks Mohammad walked = blocks to the library + blocks towards home to meet up with friend + blocks back to the library together
blocks to the library = 5
blocks towards the home to meet up with friend = 2
blocks back to the library together = 2 (As he walked 2 blocks towards home from the library, he will walk the same number of blocks again to reach the library)
Therefore,
total blocks Mohammad walked = 5 + 2 + 2
total blocks Mohammad walked = 9
Hence, the number of blocks Mohammad walked for is calculated to be 9.
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A(1,7), B(1,2), and C(5,2) area
word problem :
answers: 10 plants, 18 plants, 14 plants, and 7 plants
Answer:
10
Step-by-step explanation:
10 because there is 40 squares
40/4=10
The standard normal probability density function is a bell-shaped curve that can be represented as?
The standard normal probability density function is represented by its formula, 1 /σ√2π(e^(-z²/2))
What is standard normal variate?
A standard normal variate is defined as a variate whose mean is equal to 0, i.e. µ=0 and standard deviation is equal to 1, σ =1. Its probability density function is given by:
f(x) = 1/√2π(e^(-z²/2))
Explanation
The standard normal probability density function is a bell-shaped curve that can be represented by using the given formula:
1 /σ√2π(e^(-z²/2))
Hence, the standard normal probability density function is represented by using its formula..
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i think i know it but i’m not sure
Answer: (3, 5]
Step-by-step explanation:
3w-3<=12 and 2w-1>5
3w-3+3<=12+3 and 2w-1+1>5+1
3w<=15 and 2w>6
3w/3<=15/3 and 2w/2>6/2
w<=5 and w>3
3<w<=5 ==> (3, 5]
Parentheses are notated for non-inclusion(3 isn't included in the solution) and brackets are notated for inclusion(5 is included in the solution).
Write an equation of the line with the given slope and y -intercept. Use slope-intercept form. Then rewrite the equation in standard form. m=3, b=-7
Write an equation of the line with the given slope and y -intercept. Use slope-intercept form. Then rewrite the equation in standard form. m=3, b=-7
How to write the equation in slope-intercept form?
Given:
m=3(slope)
b=-7(y -intercept)
The slope-intercept form is given by,
y=mx+b
y=3x-7
Thus, y=3x-7 is the slope-intercept form.
How to rewrite the equation in standard form?
Standard form is given by,
Ax+By=C
Since, slope-intercept form is y=3x-7
⇒3x-y=7
Thus,3x-y = 7 is the standard form.
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