The pizza is 6.5 feet tall in height
How to determine the height of the pizza?From the question, we have the following parameters that can be used in our computation:
Volume = 195 cubic feet
Length = 6 feet
Width = 5 feet
The height of the pizza can be calculate using
Height = Volume/(Length * Width)
Substitute the known values in the above equation, so, we have the following representation
Height = 195/(6 * 5)
Evaluate
Height = 6.5
Hence, the height is 6.5 feet
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can sombody show work for this question "select the graph that correctly repesents the cost ,y, in dollars,to buy x grapefruit that cost 1.50 each
Answer:
y = 1.50x
the graph is shown below
Step-by-step explanation:
We are told that y is equal to the total cost of the amount of grapefruit purchased. The amount of grapefruit is represented by x. The price of $1.50 would be our rate or slope for the graph.
With this information, we can create the expression:
y = 1.50x
To find the graph you need, either type it in a graphing calculator, or put in your choice of "x" values to find different coordinate that would be on the graph.
For example:
y = 1.50(2)
y = 3
Coordinate 1 would be (2,3)
y = 1.50(0)
y = 0
Coordinate 2 would be (0,0)
With these two coordinates you can draw a line and match your graph with the right one you need for the answer.
Duncan begins to hike a trail that is at an elevation of 1000 feet. As he hikes, his elevation increases 2000 feet each hour that he hikes. Determine the y-intercept.
The y-intercept in Duncan's hike situation as described in the task content is; 1000 feet.
What is the y-intercept in Duncan's hike scenario as described?It follows from the task content that the y-intercept of Duncan's hike scenario is to be determined.
In context, the y-intercept is otherwise termed; the starting value.
According to the task content; Duncan begins to hike a trail that is at an elevation of 1000 feet.
On this note, Duncan's starting elevation is; 1000 feet and consequently, the y-intercept in this scenario is; 1000 feet.
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Which of the following functions is represented in the graph?
cosine graph with points at 0 comma 3, pi comma negative 5, and 2 times pi comma 3
f(x) = 4cos(2x) + 3
f(x) = 8cos(2x) + 3
f(x) = 4cos(x) − 1
f(x) = 8cos(x) − 1
The function represented in graph is f(x) = 4cos(x) - 1. We can find it by putting given points in following options and checking whether it is matching to graph or not (hit and trial method)
What are trigonometric functions?
6 trigonometric functions are Sine, Cosine, Tangent, Cotangent, Secant, Cosecant .
Cosine ranges from (-1 to 1) for x.
Given points are 0, pi, and 2pi
For 0 , cos(0)= 1
For pi, cos(pi) = -1
For 2pi, cos(2pi) = 1
In f(x) = 4cos(x)-1
For x = 0,
f(0)=4cos(0)-1
3 = 3 i.e. correct.
For x = pi
f(pi) = 4cos(pi)-1
-5 = -5 i.e. correct
also correct for 2pi.
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A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. A golf pro takes the balls to the driving range and hits the 40 new-style golf balls first and then the 40 original-style golf balls. The distance each ball travels is recorded. At the end of the session, the mean distance traveled for the new type of golf ball was found to be significantly greater than the mean distance for the original-style golf ball.
Which of the following is a valid conclusion?
Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that new-style golf balls travel farther than the original-style of golf ball for this golf pro.
Inferences can be made about all the golf balls produced on that day; however, a conclusion cannot be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.
Inferences cannot be made about all the golf balls produced on that day, and a conclusion cannot be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.
Inferences cannot be made about all the golf balls produced on that day; however, the conclusion can be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.
answer is B got it right
A valid conclusion is that;
Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that new-style golf balls travel farther than the original-style of golf ball for this golf pro.
How to find the inference from the sample?An inference is defined as a conclusion that is reached based on certain pieces of evidence
In this sample research, we can see that randomization and replication conditions are met. This s because the balls are randomly selected and as such, the distance of the new ball can be compared to the distances of the original ball.
Therefore, a valid conclusion is written as;
Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that new-style golf balls travel farther than the original-style of golf ball for this golf pro.
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In a company, 85% of the workers are men. If 405 people work for the company who aren't men, how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
Answer:
2700
Step-by-step explanation:
1st method:
let x be the number of all workers in the company
then, the number of female workers will be x-0.85x = 0.15x
0.15x = 405
x = 405/0.15 = 2700
2nd method
we know that the 405 people who aren't men make 15% (100%-85%) of the whole number of workers, by using proportions:
15% - 405
100% - X
X = (100% * 405 )/15% = 2700
5. Find the Point that divides line segment AB two-thirds of the way from A to B. - A(-3,5) B(3,-1)
Answer:
The answer is B(3, -1)
Step-by-step explanation:
I did this before.
I will mark right answer brainy thing
Answer: D
Step-by-step explanation:
Answer: D
Step-by-step explanation:
We are trying to find out how this situation leads to 30 miles for d.
We know he has 14 miles to the gas station, and he has gone an unknown amount in 2 hours, t.
30=Xt+14
Solving for X: 30=X(2)+14
X=8
15 points please help!,
There are some nickles, dimes, and quarters in a large piggy bank. For every 2 nickles there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total.
1. How many nickles, dimes, and quarters are in the piggy bank? Explain.
2.How much are the coins worth?
The number of nickels is 173.
The number of dimes is 258.
The number of quarters is 69.
The coins are worth $51.7.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
For every 2 nickles, there are 3 dimes.
For every 2 dimes, there are 5 quarters.
This means,
Let,
Nickles = N
Dimes = D
Quarters = Q
2N = 3D
N = 3D/2
2D = 5Q
Q = 2D/5
Now,
N + D + Q = 500
3D/2 + D + 2D/5 = 500
15D + 10D + 4D = 500 x 10
29D = 5000
D = 5000/29
D = 173
Now,
N = 3 x 172 / 2
N = 3 x 86
N = 258
Q = 2 x 172 / 5
Q = 69
Now,
Total coins = 500
173 + 258 + 69 = 500
Now,
20 nickels = $1
10 dimes = $1
4 quarters = $1
So,
173 nickels = $1 x 173 / 20 = $8.65
258 dimes = $1 x 258 / 10 = $25.8
69 quarters = $1 x 69 / 4 = $17.25
The total worth.
= $8.65 + $25.8 + $17.25
= $51.7
Thus,
The number of nickels is 173.
The number of dimes is 258.
The number of quarters is 69.
The coins are worth $51.7.
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consider a circle whose equation is x^2+y^2-2x-8=0. Which statements are true? select three options
The tree statements of the circle are
1) The radius of the circle is 3 units.
2) The center of the circle lies on x-axis.
3) The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is center of a circle?
A circle's center is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.
Given equation of circle is
x² + y² - 2x - 8 =0
x² - 2x + 1 - 1 + y² - 8 =0
(x - 1)² - 1 + y² - 8 =0
(x - 1)² + y² - 9 =0
(x - 1)² + y² = 3²
Compare the equation above equation with (x - h)² + (y - k)² = r²:
h = 1, k=0, r=0
The radius of the circle is 3 units. The center of the circle is (1,0) which lies on the x-axis.
Rewrite the equation of circle x² + y² = 9:
x² + y² = 3²
The radius of the circle is 3 units:
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How to turn 33.3 into a decimal and a fraction
Turn 33.3 into a fraction:
Write down 33.3 like this:
[tex]\dfrac{33.3}{1}[/tex]
Multiply the numerator and denominator by 10(since there is 1 digit after the decimal):
[tex]\dfrac{33.3\times10}{1\times10} \rightarrow\dfrac{333}{10}[/tex]
[tex]\dfrac{333}{10}[/tex] would be the fraction form of [tex]33.3[/tex].
To turn [tex]\dfrac{333}{10}[/tex] into a decimal, divide the numerator by the denominator:
[tex]333\div10=33.3[/tex]
Hope this helps!
chris discovered that the centers of the faces of a regular icosahedron are also the vertices of another regular polyhedron. how many edges does the other regular polyhedron have?
From the given information in question, we can sat that, The regular polyhedron have 30 edges.
What is regular polyhedron ?A polygon that is based on the solid in the three dimensions is known as a polyhedron. It has flat faces, straight edges and corners. A polyhedron is something like a cube, prism, or pyramid. Cones, spheres, and cylinders do not have polygonal sides, hence they are not polyhedra. Polyhedron is also the name of the polyhedron's plural form. They are classified as prisms, pyramids, and regular polyhedra. Polyhedra include, for instance, cubes (regular polyhedrons), square prisms, triangular prisms, square pyramids, and square pyramids. Consider the diagram below displaying different sorts of polyhedra.
chris discovered that the centers of the faces of a regular icosahedron are also the vertices of another regular polyhedron and he regular polyhedron have 30 edges.
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Can you tell me the
Measure of
Answer:
please tell us what you need help with
Step-by-step explanation:
you did not include a number
Answer: what
Step-by-step explanation:
HELPP!!!
angles of a triangle
Math
help please! Thank u.
Answer:Try 81
Step-by-step explanation:
determine if the following is a olap, classification, or regression model. dollar general sends out a $5 off coupon to its email subscribers. what percentage of customers between 20 and 30 years of age who lived within 5 miles of the store used the coupon?
Classification model
What is Classification model?
A subset of supervised machine learning is classification models. A categorization model takes in some input and produces an output that categorises the input. For instance, after reading an email, a model may binary identify it as spam or not.
This is a classification model. This is a categorization model because we are categorising people here according to their age and location.
A categorization model takes in some input and produces an output that categorises the input.
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[tex]12-7\sqrt{x-5} =4[/tex] How would I solve this?
1. Move 12 to the right side.
[tex]-7\sqrt{x-5}=-8[/tex]2. Divide both sides by -7.
[tex]\frac{-7\sqrt{x-5} }{-7} =\frac{-8}{-7}[/tex]3. Simplify.
[tex]\sqrt{x-5}=\frac{8}{7}[/tex]4. Square both sides.
[tex]x-5=\frac{64}{49}[/tex]5. Solve [tex]x-5=\frac{64}{49}[/tex]
[tex]x=\frac{309}{49}[/tex]Hence, our solution.
_______________________
Hope this helps!
ssdfmsfamong treatments1743 435.751.27error total5503.4615step 6 of 8: what is the variation of the individual measurements about their respective means? please round your answer to two decimal places.
The variation of the individual measurements about their respective means is 2295.04.
Given that,
The table of the treatments and total amount is
SS DF MS F
Among Treatments 4974.88 621.86 2.98
Error ?
Total 7269.92 19
We have to find how do the various measurements differ from their respective means.
We know that,
We know the formula
SSE= SSTotal -SST
= 7269.92-4974.88
=2295.04
The variation of the individual measurements about their respective means is SSE that is 2295.04
Therefore, The variation of the individual measurements about their respective means is 2295.04.
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Points A, B, and C are collinear. Point B is between A and C. Find the value of x.
AC = 24
AB = 2x + 1
BC = 3x − 2
Responses
A 55
B 33
C 99
D 7
Therefore, the value of the given equation of x comes out to be x =5.
What kinds of equations are there?Equations can be classified as either identities or conditioned equations. For each amount of the variables, an identity is true. Only specific values of the variables make a conditional equation legitimate. The equality sign ("="), which separate the two expressions, is a symbol for an equation.
Here,
Given data: A, B, and C are parallel, B is located between A and C, AC equals 24, AB equals 2x+1, and BC equals 3x-2.
In the event where A, B, and C are collinear and B is positioned between A and C, we obtain
Replace the given equation with AC = 24, AB = 2x+1, and BC = 3x-2.
AB plus BC equals AC
=> AC= AB + BC
On combining like terms we get
=> 2x+1 + 3x-2 = 24
=> 5x -1 =24
=>5x =25
=>x =5
Therefore, the value of x comes out to be x =5.
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How do you evaluate log8 32?
A 3/5
B 5/3
B. 5/3 is the evaluation of [tex]log_{8} 32[/tex] using the base conversion method.
using the base conversion - [tex]log_{a} p= \frac{log_{b} p}{log_{b} a}[/tex]
convert the base 8 into the base 2 algorithm
[tex]\frac{log_{2} 32}{log_{2} 8}[/tex]
since 32=[tex]2^{5}[/tex]
then, [tex]log_{2}(32)=5[/tex]
similarly, since [tex]8=2^{3}[/tex]
then, [tex]log_{2} (8)=3[/tex]
this makes our expression 5/3.
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Answer:
5/3
Step-by-step explanation:
The change of base formula says logb b a = [logc c a] / [logc c b].
To evaluate log8 32, you need to use the following equation: log8 32 = x, where x is the unknown value.
This can be rewritten as 8^x = 32.
Solving for x gives x = 5/3.
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Use synthetic division to find the result when 2x^3-14x^2+15x-18 is divided by x-6.
The Answer:
2x^2−2x+3
The result of the expression (2x³ - 14x² + 15x - 18) ÷ (x - 6) on dividing will be (2x² - 2x + 3).
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ (2x³ - 14x² + 15x - 18) ÷ (x - 6)
The factor of the expression (2x³ - 14x² + 15x - 18) is given as,
⇒ (2x³ - 14x² + 15x - 18)
⇒ 2x³ - 12x² - 2x² + 12x + 3x - 18
⇒ 2x²(x - 6) - 2x (x - 6) + 3(x - 6)
⇒ (x - 6)(2x² - 2x + 3)
Then the expression is written as,
⇒ (2x³ - 14x² + 15x - 18) ÷ (x - 6)
⇒ [(x - 6)(2x² - 2x + 3)] / (x - 6)
⇒ (2x² - 2x + 3)
The final solution of the expression (2x³ - 14x² + 15x - 18) ÷ (x - 6) on dividing will be (2x² - 2x + 3).
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LOT OF POINTS!!
PLEASE NEED ANSWERS QUICKLY!!
By using the properties of angle,
The proof of ∠1 ≅ ∠3 has been given below
What is angle?
When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle
1. ∠2 ≅ ∠4 [Given]
2. m∠2= m∠4 [Angle Congruence Postulate]
3. ∠2 and ∠3 are supplementary [Given]
4. m∠2+m∠3 = 180° [Definition of Supplementary angles]
5. ∠1 and ∠4 are supplementary [Angle on a straight line]
6. m∠1+m∠4 = 180° [Definition of supplementary angles]
7. m∠1+m∠4 = m∠2+ m∠3 [ Substitution from 4 and 6]
8. m∠1+m∠4 = m∠4+m∠3 [Substitution from 2]
9. m∠1=m∠3 [Cancellation property]
10. ∠1 ≅ ∠3 [Converse of angle congruence theorem]
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How do you solve it?
Lorena is the administrator of a store selling shoes for women and 12 different models arrive this summer.
If you want to place 4 pairs of shoes per shelf in the store, how many ways can you organize them?
A) 28
B)495
C)11880
D)20736
E) 20
There are 144 ways to place 4 pairs of shoes per shelf in the store.
What is a permutation?
The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged. Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of the arrangement matters.
This question can be solved using basic logic . One can also solve this by using permutations.
Since 12 different models arrive and 4 pairs of shoes should be placed per shelf , the answer can be sort by
4!×3! = [ 4×3×2×1] × [3×2×1] = 24×6 = 144.
( Because 4 pairs of shoes can be interchanged among themselves , therefore 4! , and 12/4=3 , so the 12 pair of shoes can be organised amongst 3 shelves , and hence 3!)
Therefore , none of the options is correct. The correct answer is 144 ways.
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there is one agent that sells tickets to the movie theater. customers arrive at the ticket outlet at the rate of 10 per hour. if on average a customer waits in line for 6 minutes, what is the expected number of customesr in the queue (aka as average
Answer:
there should be 1 customer waiting in line at the ticket outlet.
Step-by-step explanation:
To calculate the expected number of customers in the queue, we can use the following formula:
Expected number of customers = Arrival rate * Average waiting time
In this case, the arrival rate is 10 customers per hour and the average waiting time is 6 minutes. Converting the waiting time to hours, we get:
Expected number of customers = 10 customers/hour * (6 minutes / 60 minutes/hour) = 1 customer
So the expected number of customers in the queue is 1. This means that on average, there should be 1 customer waiting in line at the ticket outlet.
Selena and Luis are building a model bridge out of balsa wood. To make a strong bridge, they create each post by laying out two long wooden poles horizontally, as shown in the diagram, and connecting them with smaller strips of balsa wood laid diagonally in a triangle pattern. The triangle pattern is continued down the entire length of the wooden poles.
The poles are 12 centimeters apart, and each small strip of balsa wood is 13 centimeters long.
If the two poles are each 100 centimeters long, how many small strips of balsa wood will they need to connect them?
If the two poles are each 100 centimeters long, The number of small strips of balsa wood they will need to connect them is: C. 20.
How to find the number of small strips?Using Pythagorean theorem formula to find triangle side a.
a=√b²+c²
a = √ 13² - 12²
a = √ 169 - 144
a = √ 25
a = 5
Hence, the number of small strips of balsa wood they need to connect them is:
100 / (2a)× 2
100 / ( 2×5) ×2
100/ 10 ×2
10 × 2
=20
Therefore the correct option is C.
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In his free time, Gary spends 9 hours per week on the Internet and 12 hours per week playing video games. If Gary has five hours of free time per day, what percent of his free time is spent on the Internet and playing video games
Answer: 11.64%
Step-by-step explanation:
Use the first five terms of the trigonometric series to approximate the value of sin 4pi/5 to four decimal places. Then
compare the approximation to the actual value.
The first five terms of the given trigonometric series are (C) 0.5884, 0.5878.
What is a trigonometric series?
A mathematical series where the sines and cosines of integral multiples of a variable angle are used to connect the components.
Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent are the six trigonometric functions.
Below is a graph of the first five terms in the trigonometric series of sin:
sinx = x - x³/3! + x⁵/5! - x⁷/7! + x⁹/9! .......
Insert x = 4π/5
sin4π/5 = 4π/5 - (4π/5)³/3! + (4π/5)⁵/5! - (4π/5)⁷/7! + (4π/5)⁹/9! .......
Upon resolution, we determine an approximate value of:
sin4π/5 = 0.5884
Find the true value now:
sin4π/5 = 0.5878
Therefore, the first five terms of the given trigonometric series are (C) 0.5884, 0.5878.
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Complete question:
Use the first five terms of the trigonometric series to approximate the value of sin to four decimal places. Then compare
the approximation to the actual value.
a. -0.9568, -0.9659
b. -0.9649, -0.9659
C. 0.5884, 0.5878
d. -0.9609, -0.9659
Find the absolute value. |4 - 5i|
The absolute value for |4 - 5i| =[tex]\sqrt{41}[/tex].
Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative. Look at some illustrations. 5 is the sum of its absolute values. There are 5 units between 5 and 0. A negative number has a positive absolute value, too. If x 0, then |x| = -x gives the absolute value of the supplied number.
For illustration, |-2| = 2. No matter what the numerical value's sign, the absolute value is always positive.
Here complex number form =|a+ib|
= |4-5i| Here a=4, b=(-5).
[tex]|a+ib| = \sqrt{a^{2}+b^{2} } \\\\\sqrt{4^{2}+5^{2} } \\\\\sqrt{16+25} \\\\\sqrt{41} \\[/tex]
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The equation and table show the cost, y, of different sports programs as a function of the number of classes x
Based on the provided table and equation when the class size is 1, gymnastics is less expensive, and when the class size is 3 or 4, ice skating is less expensive.
Given that y denotes the price and x denotes the number of classes, the gymnastics programmed is completed by the table, whereas the ice skating program is concluded by the equation y = 18x + 20.
Find the cost of the ice skating programmed for classes 1, 2, 3, and 4 as the table already lists the price for each specified number of gymnastics courses.
For 1 class, substitute x = 1 into y = 18x + 20:
y = 18(1) + 20
y = $38
For 2 class, substitute x = 2 into y = 18x + 20:
y = 18(2) + 20
y = $56
For 3 class, substitute x = 3 into y = 18x + 20:
y = 18(3) + 20
y = $74
For 4 class, substitute x = 4 into the equation y = 18x + 20:
y = 18(4) + 20
y = $92
We may infer from the foregoing that gymnastics is less expensive when the number of lessons is 1. When there are three or four courses, ice skating is less expensive.
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Five More Than One Third Of A Number Is Negative 2 What Is The Number?
Answer:
n = -21
Step-by-step explanation:
Five More Than One Third Of A Number Is Negative 2 What Is The Number?
1/3n + 5 = -2
subtract 5 from both sides:
1/3n + 5 - 5 = -2 - 5
1/3n = -7
multiply both sides by 3:
3(1/3n) = 3(-7)
n = -21
Which equation could be represented by the number line?
Answer:
B
Step-by-step explanation:
Original TV cost: $700
Current TV cost: $500
Find the percent of decrease
round to the nearest whole percent
Answer: 29%
Step-by-step explanation:
To find the percent of decrease, you need to first calculate the difference between the original cost and the current cost of the TV. You can do this by subtracting the current cost from the original cost: $700 - $500 = $200.
Next, divide the difference by the original cost and multiply by 100% to express the result as a percentage: ($200 / $700) * 100% = 28.57%.
Rounding this result to the nearest whole percent, we get that the percent of decrease is 29%.
Rounded to the nearest whole percent, the answer is 29%.