The total volume of the composite figure is 123cm³
How to find the total volume?First let's do the prism, the volume is the product of the 3 dimensions, so we will get:
v = 12cm*1cm*5cm = 60cm³
Now let's do the cone, the formula for the volume is given, so we can just replace the numbers that we know, notice that the diameter is given and we need the radius which is half of that, so:
r = 6cm/2 = 3cm
Then the volume is:
V = 3*(3cm)²*7cm/3 = 63cm²
So the total volume is 63cm² + 60cm³ = 123cm³
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3 gallons to quarts? pls answer now im being timed
By Unitary method, 3 gallons = 12 quarts
We know that the the unit conversion,
one liquid gallons is equals to the four liquid quarts
i.e., 1 gallon = 4 quarts
We need to find the 3 gallons to quarts.
Let us assume that x represents the required amount of liquid quarts.
By Unitary method,
⇒ x = 3 × 4
⇒ x = 12 quarts of liquid
Therefore, the unit conversion 3 gallons equals to 12 quarts.
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A swimming pool holds 2,000 cubic feet of water. The swimming pool is 25 feet long and 10 feet wide. How deep is the swimming pool?
The depth of the swimming pool s 8 feet
Calculating how deep the swimming pool is? From the question, we have the following parameters that can be used in our computation:
A swimming pool holds 2,000 cubic feet of water. The swimming pool is 25 feet long and 10 feet wideThis means that
Depth = Volume/(length * width)
substitute the known values in the above equation, so, we have the following representation
Depth = 2000/(25 * 10)
Evaluate
Depth = 8
Hence, the depth is 8 feet
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Please answer this question asap.
Answer:
54
Step-by-step explanation:
the first one is the only one I know from the top off my head I'll try and send it to you. but the first one is 53
who owns iods? as part of the pew internet and american life project, researchers surveyed a random sample of 800 teens and a separate random sample of 400 young adults. for the teens, 79% said that they own an ipod or mp3 player. for the young adults, this figure was 67%. do the data give convincing evidence of a difference in the proportions of all teens and young adults who would say that they own an ipood or mp3 player?
Based on the survey data, we can conclude that a higher proportion of teenagers own an iPod or MP3 player compared to young adults.
To determine if the difference is significant, we need to conduct a hypothesis test. We can begin by stating the null hypothesis as "there is no significant difference in the proportion of all teens and young adults who would say they own an iPod or MP3 player."
We can also state the alternative hypothesis as "there is a significant difference in the proportion of all teens and young adults who would say they own an iPod or MP3 player."
Next, we need to determine the test statistic and calculate the p-value to determine if the difference in the proportions is statistically significant. Assuming that the data follows a normal distribution, we can use a two-sample z-test to test our hypothesis.
Using a significance level of 0.05, we find that the test statistic is 3.07, and the p-value is 0.002. Since the p-value is less than the significance level, we can reject the null hypothesis and conclude that there is convincing evidence of a difference in the proportions of all teens and young adults who would say they own an iPod or MP3 player.
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What is the coordinates of the vertex of the parabola?
The coordinates of the vertex of the parabola is (-4, 4)
What is the coordinates of the vertex of the parabola?From the question, we have the following parameters that can be used in our computation:
The parabola
The coordinates of the vertex of the parabola is the maximum or the minimum point of the parabola
In this case, it is a maximum and the point is (-4, 4)
Hence, the solution is (-4, 4)
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When you
divide a whole number by a unit fraction
explain how you can find the quotient
14. Higher Order
To find the quotient of whole number divided by a unit fraction the steps are discussed below.
We have to divide a whole number by a unit fraction.
let the whole number be 10 and fraction is 1/2.
So, division is
= 10 / (1/2)
Now, Reciprocate the fraction in the denominator as
= 10 x 2/1
= 20
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Consuela is displaying a cylindrical case on a pedestal. She wants it to be placed so that there is an even amount of space on either side of the case. If the volume of the cylinder shown is 1,130.97 cubic inches, how much space will be on either side if it’s placed on a pedestal that is 18 inches across? Round to the nearest inch.
Answer:
First, we need to find the radius of the cylinder. We know that:
V = πr^2h
And we are given that V = 1,130.97 cubic inches. We also know that a cylinder is symmetrical, which means that the height of the cylinder is equal to the diameter of the circle. In other words, h = 2r.
Therefore, we can rewrite the formula as:
V = πr^2(2r)
1,130.97 = πr^3
r^3 = 359.82
r = 7.12 inches (rounded to two decimal places)
Now we need to find the amount of space on either side of the cylinder. We know that the pedestal is 18 inches across, so the total width is 18 inches. If we want an even amount of space on either side, we need to subtract the diameter of the cylinder from the width of the pedestal, and then divide the result by two.
Diameter = 2r = 2(7.12) = 14.24 inches
Space on either side = (18 - 14.24)/2 = 1.88 inches (rounded to two decimal places)
Therefore, if Consuela places the cylinder on a pedestal that is 18 inches across, there will be 1.88 inches of space on either side.
What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)?
y minus 4 = 3 (x minus 1)
1 minus y = 3 (x minus 4)
y 1 minus 4 = 3 (1 minus x 1)
1 minus y 1 = 3 (4 minus x 1)
Steps to finding the x-intercept and y-intercept of y=16x^2+32x
Answer:
y-intercept = (0,0)
x-intercepts (0,0), (-2, 0)
Step-by-step explanation:
For y-intercept
If you think about a graph, when does the graph intercept/hit y. What is your value for x. Your y-intercept is usually (0, y) So in order to find the y-intercept you need to plug in x=0 to find y.
Equation:
y=16x²+32x substitute x=0
y=16(0)²+32(0)
y=0
y-intercept = (0,0)
For x-intercept
When you have an x intercept it looks like (x, 0), so you must solve for x when y=0
Because this is a quadratic equation(parabola), you will get 2 x-intercepts.
y=16x²+32x
0=16x²+32x > In order to solver for x, you must factor but in this case
you can take out the greatest common factor (GCF) =16x
0=16x(x +2) >Typically when you factor you get 2 parentheses and set
each parenthesis equal to 0, but instead we've pulled
an x on the outside. When there is an x outside you set
the outside equal to 0 as well as the parenthesis to
solve for x.
16x = 0 (x+2)=0
x=0 x= -2
x-intercepts (0,0), (-2, 0)
Select all angle measures for which \sin\theta=-\frac{\sqrt{2}}{2}
The angles which are equivalent to sin [tex]\theta[/tex] = √2/2 are,
In the first quadrant sin 45° = √2/2 In the second quadrant sin 225° = √2/2 In the third quadrant sin 135° = √2/2 In the fourth quadrant 315° = √2/2Given sin [tex]\theta\\[/tex] = √2/2 the theta value is equal to 45° which is present in the first quadrant.
To find out equivalent theta values, we will find out all 45° equivalent values in each quadrant.
In second quadrant equivalent angle = 180° + 45° = 225°.In third quadrant equivalent angle = 180° - 45° = 135°.In fourth quadrant equivalent angle = 360° - 45° = 315°.From the above analysis, the equivalent angles are 45°, 225°, 135° and 315°. So, the option A is correct.
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The given question is missing options. The complete question is,
Select all angle measures for which sin theta= -sqrt2/2
A) 45°, 225°, 135°, and 315°
B) 45°, 225°, 280° and 325°
C)60°, 90°, 225° and 135°
D)75°, 135°, 250° and 315°
Solve for p.
r-P/7= S
Step-by-step explanation:
[tex] \frac{r - p}{7} = s \\ cross \: multiply \\ 7s = r - p \\ \: \: move \: the \: variable \: to \: the \: \\ right \\ - p = 7s - r \\ change \: the \: signs \\ p = - 7s + r \\ p = r - 7s[/tex]
Answer:
p= -7S+r
Step-by-step explanation:
p=-7S+r ( gotta write at least 20 characters)
Square root of 20 over square root of 12
Step-by-step explanation:
sqrt (20) / sqrt(12) = sqrt(20*12) / 12 = 4 sqrt (15) / 12
= sqrt (15) / 3 = 1.290994
A modern office building is shaped like a parallelogram. The front of the building has a base of
150 meters and a height of 37 meters. What is the area of the front of the building?
Click the icon to view the building.
there are 20 cars contesting a race. the first three cars completing the race will be awarded prizes. in how many ways can the prizes be awarded?
There are 6,840 ways to award the prizes to the first three cars completing the race.
Since there are 20 cars within the race and the arrangement in which they wrap up is critical, a permutation equation can be utilized to decide the number of ways prizes are granted.
There are his 20 ways to determine the winner of the first prize (because any of the 20 cars could be first).
He has 19 ways to determine the runner-up (because he has 19 cars left to be runner-up).
There are 18 ways to determine the 3rd place winner (because he has 18 cars left that could be 3rd place).
Using the multiplication principle, the total number of ways to award prizes is:
20 x 19 x 18 = 6,840
So there are 6,840 ways to award prizes to the top 3 cars that finish the race.
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5-10 answers please. solve for x and round to the nearest tenth.
The angles that can be obtained by trigonometry are shown below.
What is trigonometry?The Greek words "trigonon" (triangle) and "metron" are the origins of the word "trigonometry" (measure). Trigonometry is the study of triangles, specifically the lengths of their sides and the sizes of the angles that connect them.
1) Cos 32 = x/14
x = 14 Cos 32
= 11.9
2) Sin 54 = 22/x
x = 22/Sin 54
x = 27.2
3) Tan 75 = 17/x
x = 17/Tan 75
x = 4.6
4) Cos 43 = 31/x
x = 31/Cos 43
x = 42.4
5) Tan x = 9/12
x = Tan-1(9/12)
x = 36.9
6) Sin x = 11/35
x = Sin-1 (11/35)
x = 18.3
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Given Matrix A consisting of 3 rows and 2 columns. Row 1 shows 3 and negative 1, row 2 shows 2 and 0, and row 3 shows negative 3 and 3. And Matrix B consisting of 3 rows and 2 columns. Row 1 shows 3 and 3, row 2 shows negative 5 and 4, and row 3 shows negative 4 and 2. ,
what is A − B?
Matrix consisting of 3 rows and 2 columns. Row 1 shows 0 and negative 4, row 2 shows negative 3 and negative 4, and row 3 shows 1 and 1.
Matrix consisting of 3 rows and 2 columns. Row 1 shows 0 and negative 4, row 2 shows 7 and negative 4, and row 3 shows 1 and 1.
Matrix consisting of 3 rows and 2 columns. Row 1 shows 0 and negative 4, row 2 shows 7 and 4, and row 3 shows negative 1 and 0.
Matrix consisting of 3 rows and 2 columns. Row 1 shows 6 and 2, row 2 shows 7 and 4, and row 3 shows negative 7 and 1
The subtraction of Matrix B from Matrix A is represented as:
[tex]\[A - B = \begin{bmatrix}0 & -4 \\7 & -4 \\1 & 1\end{bmatrix}\][/tex]
Given Matrix:
[tex]\[ A = \begin{bmatrix}3 & -1 \\2 & 0 \\-3 & 3\end{bmatrix} \][/tex] and [tex]\[ B = \begin{bmatrix}3 & 3 \\-5 & 4 \\-4 & 2\end{bmatrix} \][/tex]
To find the result of subtracting Matrix B from Matrix A,
subtract the corresponding elements of the matrices.
Here is the subtraction result
[tex]\[A - B = \begin{bmatrix}3 - 3 & (-1) - 3 \\2 - (-5) & 0 - 4 \\(-3) - (-4) & 3 - 2\end{bmatrix} = \begin{bmatrix}0 & -4 \\7 & -4 \\1 & 1\end{bmatrix}\][/tex]
Therefore, the subtraction of matrices is:
[tex]\[A - B = \begin{bmatrix}0 & -4 \\7 & -4 \\1 & 1\end{bmatrix}\][/tex]
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Michelle bought 5 1/2 gallons of paint. She used 2/3 of it to put the first coat on her house. How many gallons of paint did she use for the first coat?
Answer:
Step-by-step explanation:
Of= x
So, we do 5x2+1
= 11/2= 5 1/2 then we start multiplying
11x2=22
2x3=6
so then that's 22/6
next, we divide 22 by 6
6 goes into 22 3 times remainder of
4
so its 3 4/6
In simplified form its 3 2/3
solve for x,y, and z
The measure of angle x, y and z is 85⁰, 45⁰ and 40⁰ respectively.
What is the value of angle x, y and z?The measure of angle x, y and z is calculated by applying intersecting chord theorem as shown below;
Angle y is calculated as follows;
10⁰ = ¹/₂ (arc EA - AN )
10 = ¹/₂ (65 - y )
20 = 65 - y
y = 65 - 20
y = 45⁰
The value of arc angle x is calculated as follows;
165 + 65 + 45 + x = 360 (sum of angles in a circle)
275 + x = 360
x = 360 - 275
x = 85⁰
The value of angle z is calculated as follows;
z = ¹/₂ (arc GE - GN )
z = ¹/₂ (165 - 85)
z = 40⁰
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please please help lol
The simplification of the given expression is:
[tex]\sqrt[3]{\frac{6c}{-125} } = -\frac{\sqrt[3]{6c} }{5}[/tex]
How to simplify the expression?Here we have an expression with a cube root:
[tex]\sqrt[3]{\frac{6c}{-125} }[/tex]
We can distribute the cube root over the fraction, then we will get:
[tex]\sqrt[3]{\frac{6c}{-125} } = \frac{\sqrt[3]{6c} }{\sqrt[3]{-125} } = \frac{\sqrt[3]{6c} }{-5}[/tex]
That is the expression simplified.
We can't keep simplifying this, because 6 is not a perfect cube and c is just a variable.
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A committee of 3 people is selected from a group of 2 teachers and 2 students. How many committees contain 2 teachers and 1 student?
John is putting on a roof; the dimensions for 1/2 of the roof are 15ft long by 10ft wide. What is the total square footage of the roof? if the cost of 1 square foot shingles is $2. 13, how much will it cost to have the roof shingled?
To calculate the total cost of shingling the roof, we first find the total square footage of the roof, which is 300 sq.ft. We then multiply this by the cost per square foot of the shingles, $2.13, to get a total cost of $639.
Explanation:The first step is to calculate the total square footage of the roof. The given half measurement is 15ft by 10ft, so in-order to get square footage we multiply these two numbers (length * width). 15ft * 10ft = 150sq.ft. Since this is only half of the roof, we then multiply by 2 to get the total roof area. So, 150sq.ft * 2 = 300sq.ft.
The next step is to find the total cost. If the cost of 1 sq.ft. of shingles is $2.13, we just multiply the total area by the cost per square foot. So, 300sq.ft. * $2.13/sq.ft = $639.
Therefore, it will cost $639 to shingle the entire roof.
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PLEASE HELP
Calculate the total value of the investment given the following information and compounded continuously?
Principal $1000; rate 5.5%; term 20 years
The total value of the investment after 20 years with continuous compounding is $2,917.76.
Given information:
P = principal = $1000.
R = 5.5%
t = 20 years.
First, convert R as a percent to 'r' as a decimal
r = R/100
r = 5.5/100
r = 0.055 rates per year,
Then solve the equation for A:
The total value of the investment can be calculated using the formula:
A = P(1 + r/n[tex])^{nt}[/tex]
A = 1,000.00(1 + 0.055/1[tex])^{(1)(20)}[/tex]
A = 1,000.00(1 + 0.055[tex])^{(20)}[/tex]
A = $2,917.76
The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 5.5% per year compounded 1 time per year over 20 years is $2,917.76.
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pls help i dont understand
Answer:
[tex] {.2}^{4} = .0016[/tex]
Answer:
0.0016
Step-by-step explanation:
0.2^4 is
0.2 x 0.2 x 0.2 x 0.2 =
0.04 x 0.04 =
0.0016
You have been invited to a kindergarten math class to explain place value and why it is important. What will you say to the students?
someone please help :/
Answer:
Dear Kindergarten students,
Today, I am here to talk to you about place value and why it is important. Place value is the concept of understanding the value of a digit based on its position in a number. In other words, the position of a digit determines its value.
Let's take the number 123 for example. The digit 1 is in the hundreds place, the digit 2 is in the tens place, and the digit 3 is in the ones place. This means that 1 represents one hundred, 2 represents twenty, and 3 represents three. So when we put these digits together, we get the number 123.
Understanding place value is important because it helps us to read, write, and compare numbers. It also helps us to perform mathematical operations such as addition and subtraction more easily.
For instance, if we want to add two numbers such as 23 and 45, we need to line up the digits based on their place value. The ones place goes under the ones place, and the tens place goes under the tens place. Then we can add each column separately to get our answer of 68.
In summary, understanding place value is essential for working with numbers and performing mathematical operations accurately.
Thank you for listening!
Step-by-step explanation:
That what I would say
Graph the line that passes through the coordinates below and determine which statement is true.
(2, 3), (3, 4.5), (4, 6), (6, 9)
To graph the line that passes through the coordinates (2, 3), (3, 4.5), (4, 6), and (6, 9), we can use the slope-intercept form of the equation of a line, which is y = mx + b.
To start, we can find the slope of the line using any two points on the line. Let's use the first and last points:
slope = (change in y) / (change in x) slope = (9 - 3) / (6 - 2) slope = 1.5
Now we can choose any of the four given points and plug in the slope to find the y-intercept, b. Let's use the second point:
4.5 = 1.5(3) + b b = 0.75
So the equation of the line is:
y = 1.5x + 0.75
To graph the line, we can plot the four given points and then connect them with a straight line. Alternatively, we can choose any two values of x and plug them into the equation of the line to find the corresponding values of y, and then plot the resulting points.
THIS LINE DOES PASS THROUGH THE ORIGIN
it is
NOT
proportional because the line passes through the origin
therefore the correct answer is:
A.
. Explain how charges follow a single circuit in series circuits and how charges follow multiple paths in parallel circuits.
In a series circuit, charges follow a single path, meaning that they flow through each component of the circuit one after another.
What is series circuit?
A series circuit is an electric circuit in which the components (such as resistors, capacitors, and inductors) are connected in a single path so that the current flows through each component in turn without branching off.
In a series circuit, charges follow a single path, meaning that they flow through each component of the circuit one after another. This means that the current passing through each component is the same, and the voltage is split between the components. If one component fails, the circuit is broken, and no current can flow.
In contrast, in a parallel circuit, charges have multiple paths to flow through. The current splits up and passes through each path independently, meaning that the current through each component is not necessarily the same.
The voltage across each component is the same, and the total current is the sum of the current through each path. If one component fails, the current can still flow through the other paths, and the circuit remains complete.
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y=-5/3x+3
y=1/3x-3
Graphing method
Answer:Y=-5/3x+3
y=1/3x-3
Step-by-step explanation:i don't know i searched the web
I need help ASAP!!! The answers are in the picture. Round to the nearest tenth.
Answer:
Area of sector = (π/4)(7^2)
= 49π/4 square kilometers
= 38.5 square kilometers
Length of arc = (2π)(7)/4
= 7π/2 kilometers
= 11.0 kilometers
HELP HELP I NEED HELP ASAP HELP HELP I NEED HELP ASAP HELP HELP I NEED HELP ASAP HELP HELP I NEED HELP ASAP HELP HELP I NEED HELP ASAP HELP HELP I NEED HELP ASAP
Answer 2 and 3
Spores forming bacteria include Clostridium botulinum, Clostridium perfringes and Bacillus cereus and when a food is frozen, it slows down bacteria activity.
What are spore forming organism?2. Spore-forming bacteria include Bacillus (aerobic) and Clostridium (anaerobic) species. These species produce spores that are dormant bodies and take the genetic material present in the vegetative form, but do not have an active metabolism. They are very resistant against heat, dryness, and other negative ambient conditions than the vegetative form, and are used for survival during dryness. When the environmental conditions is conducive, spores germinate to vegetative Bacillus or Clostridium cells.
In the given question, the spore forming organisms are Clostridium botulinum, Clostridium perfringes and Bacillus cereus
3. What happens when a food is frozen?
When food is frozen, it does not kill the bacteria but rather slows down their reproductive activity and so, the amount of time it can be kept is extended compared to refrigeration.
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The table below represents the closing prices of stock TUV for the first five
days it was open. Using your calculator, what is the equation of exponential
regression that fits these data?
Day
1
2
3
4
5
Value
3.75
9.375
23.438
58.594
146.484
O A. y= 1.75 2.35*
OB. y= 2.5 3.5*
OC. y= 1.25.2.75*
OD. y= 1.5-2.5*
The equation of exponential regression that fits the data is given as follows:
y = 1.5(2.5)^x.
How to define an exponential function?An exponential function has the definition presented as follows:
y = ab^x.
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.To obtain the equation of exponential regression, we must insert the points of the data-set into a calculator.
The points are given as follows:
(1, 3.75), (4, 9.375), (3, 23.438), (4, 58.594), (5, 146.484).
Inserting these points into a calculator, the equation is given as follows:
y = 1.5(2.5)^x.
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