Given :
Base area of Ms. Jones decorative pyramid = 6 inches²
Height of the decorative pyramid = 15 inches
We know that :
\(\color{hotpink}\tt \: volume \: of \: a \: triangular \: pyramid\color{plum} \tt \: = \frac{1}{3}Bh \)
Volume of the decorative pyramid :
\( =\tt \frac{1}{3} \times 15 \times 6\)
\( =\tt \frac{15 \times 6}{3} \)
\( =\tt \frac{90}{3} \)
\(\color{plum} =\tt 30 \: {inches}^{3} \)
Therefore, the volume of the decorative pyramid with Ms. Jones = 30 inches³
-x + 3y = -27 3x - 3y = 39
Answer: Is there any answer choices?
Step-by-step explanation:
a _______________ is a graph showing the differences in frequencies or percentages among categories of a nominal or an ordinal variable.
A bar chart is a graph that shows the differences in frequencies or percentages among categories of a nominal or an ordinal variable.
A bar chart is a commonly used graphical representation to display the distribution of data in different categories. It is particularly useful when working with nominal or ordinal variables, where the categories are distinct and unordered or have a specific order.
In a bar chart, each category is represented by a rectangular bar whose length corresponds to the frequency or percentage associated with that category. The height of the bar represents the magnitude or count of the variable in each category, allowing for easy visual comparison between the categories.
The bars in a bar chart can be arranged horizontally or vertically, depending on the preference or nature of the data. The chart may also include labels or annotations to indicate the category names or additional information.
By examining the lengths or heights of the bars in a bar chart, it becomes easy to identify the categories with the highest or lowest frequencies or percentages, as well as to compare the relative magnitudes among the different categories. This graphical representation aids in visualizing and interpreting the distribution of a nominal or an ordinal variable effectively.
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Simplify: 3√7 + 7√63 + √7/7
Given simplification:
3√7 + 7√63 + (√7/7)
= 3√7 + 7√(9*7) + (√7/7)
= 3√7 + 7*3√7 + (√7/7)
= 3√7 + 21√7 + (√7/7)
= (3+21)√7 + (√7/7)
= 24√7 + (√7/√7)
= (7*24√7 + √7)/7
= (168√7 + √7)/7
= (169√7)/7
Answer:- 3√7 + 7√63 + (√7/7) = (169√7)/7.
also read similar questions: Simplify the expression: 2√ 20 − 3√ 7 − 2√ 5 + 4√ 63 . A. 2√ 20 − 3√ 7 − 2√ 5 + 4√ 63 B. 2√ 5 + 9√ 7 C. 2√ 20 − 4√ 7 − 2√ 5 D. 2√ 20 − 3√ 7 + 4√ 63...
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To find the product 3/7 times 4/9, Cameron simplified 3/7 to 1/7 and the multiplied the fraction 1/7 and 4/9 to find the product 4/63....
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My teacher is super picky about this type of stuff and I’m not sure how I would do it... Please show steps when solving for slices of pizza!
A direct variation includes the points (6,90) and (2,n). Find n.
Answer:
if you are trying to convert from interval to inequality then the inequality is empty (No Solution).
The answer is No solution.
Which graph shows a dilation?
Answer:
middle
Step-by-step explanation:
Irs a little hard to see. But Dilation means the size of the object changed ( increase or decrease) but the shape stays exactly same
The graph that shows a dilation among the given graphs is; Graph B.
What is dilation?Dilation in graphs simply means each side is multiplied by the same scale factor. What this means is that the ratio of each dilated side to their respective old sides before dilation must be the same scale factor.
Here, we have,
We can see that the pre-dilated image has 2 units along the y - axis and 3 units across the x-axis.
After dilation, it now has 4 units along the y - axis and 6 units across the x-axis.
This means the scale factor in both axis are; 4/2 = 2 and 6/3 = 2.
They are both the same scale factors and as such this graph shows a dilation.
Hence, The graph that shows a dilation among the given graphs is; Graph B.
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I need help on question c
Answer:
8^5 (32768)
Step-by-step explanation:
Hi!
Remember that 8 is basically 8^1.
When we divide by exponents, we subtract the bottom exponent from the top one.
In this case, our expression looks like this. \(\frac{8^6}{8^1}\)
6-1 = 5, so our answer is 8^5, or 32768.
Answer:
\(8^{5} \)
Step-by-step explanation:
\( \frac{ {8}^{6} }{ {8}^{1} } \)
\( {8}^{6 - 1} \)
\( {8}^{5} \)
I got the first part but i dont onow how to get the other ones
The value of x for this problem is given as follows:
x = 5.
Hence the angle measures are given as follows:
m < CAB = 32º.m < FDE = 32º.How to obtain the value of x?
We have that angles A and D are congruent for this problem, meaning that they have the same measure.
Hence the value of x is obtained as follows:
7x - 3 = 5x + 7
2x = 10
x = 5.
Hence the angle measures are given as follows:
m < CAB = 7(5) - 3 = 35 - 3 = 32º.m < FDE = 5(5) + 7 = 32º.More can be learned about angle measures at https://brainly.com/question/25716982
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Helpppppppp pleaseee
Answer:
let me give you some advice. i think that you should try out GOOGLE perimeter calculator
The amount of money you have after investing $400 for 8 years and $600 for 6 years at the same interest rate is represented by 400x^6 + 600x^6. where x is the growth factor. classify the polynomial by the number of terms. what is the degree?
The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.
What is a polynomial?Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Polynomials are classified based on degree as linear, cubic, quadratic, etc.
A polynomial with two terms is known as a binomial. Hence:
The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.
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5+xy=z solve for x. Can you please guide me threw the process of this problem. SOLVING LINEAR EQUATIONS
Answer:
\(x = \frac{z-5}{y}\)
Step-by-step explanation:
1. Because the problem is asking to solve for x, we have to isolate that variable.
2. (Solving)
Step 1: Subtract 5 from both sides.
\(5 + xy - 5 = z - 5\) \(xy = z - 5\)Step 2: Divide both sides by y.
\(\frac{xy}{y} = \frac{z-5}{y}\) \(x = \frac{z-5}{y}\)Therefore, \(x = \frac{z-5}{y}\)! I hope this helped you.
Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan
In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.
The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.
We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.
Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.
Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000
We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)
Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0
Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.
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Angle QRS is bisected by ray RP. If angle QRP is 60 degrees, what would be the measure of angle QRS?
Answer:
6779
Step-by-step explanation:
69
Jason is a project manager, He is dividing up work for his team. He gave Sarah 1/27th of the job, Brandon 0.32 of the job and Kelly 21% of the job. Jason will do the rest of the job himself. Including himself, who worked most of the job? Show all your work.
Answer:
Jason did the most, at about 43.3%
Step-by-step explanation:
Sarah did 1/27th of the work, which is about 0.037
Brandon did 0.32
Kelly did 21%, which is 0.21
Jason did the rest, which is 1-0.037-0.32-0.21=0.433
While traveling in England, Sonia noticed that the price of gas was 1.4 pints per liter. She wondered how that compares to the price of gas in Atlanta, where she lives. On that day, the exchange rate was £1= $1.56. Set up and evaluate a conversion expression to find the equivalent price in dollars per gallon. Use the conversion factor 1L=0.26 gal.
Answer:
$8.40
Step-by-step explanation:
Price in England = 1.4 pounds per Litre
Current exchange rate : 1 pound = 1.65 dollars
1 Litre = 0.26 gallons
If 1 Litre = 0.26 gallons
1 gallon = (1 / 0.26) litres = 3.8461538 litres
Therefore, cost per gallon in England = (1.4 × 3.8461538)
= 5.3846153 pounds
Then ;
If 1 pound = 1.56 dollars
Then cost per gallon in dollars equals
5.3846153 * 1.56 = 8.399999868 dollars
$8.40
Given m \| nm∥n, find the value of x.
Answer:
Step-by-step explanation:
Could 7.7\text{ cm}, 4.0\text{ cm},7.7 cm,4.0 cm,7, point, 7, start text, space, c, m, end text, comma, 4, point, 0, start text, space, c, m, end text, comma and 1.7\text{ cm}1.7 cm1, point, 7, start text, space, c, m, end text be the side lengths of a triangle?
Answer:
The given three sides can not form a triangle.
Step-by-step explanation:
Given three sides:
Length of first side = 7.7 cm
Length of second side = 4.0 cm
Length of third side = 1.7 cm
To find:
Whether these three sides can possibly be the three sides of a triangle ?
Solution:
Here, we can use the property of sides of a triangle:
The sum of the lengths of any two sides must be greater than the length of third side.
Now, let us try to verify this property.
Length of first side + Length of second side = 7.7 + 4.0 = 11.7 cm which is greater than the length of third side i.e. 1.7 cm
Length of first side + Length of third side = 7.7 + 1.7 = 9.4 cm which is greater than the length of second side i.e. 4.0 cm
Length of second side + Length of third side = 4.0 + 1.7 = 5.7 cm which is not greater than the length of first side i.e. 7.7 cm
Therefore, the property does not hold true.
It can be concluded that, the given three sides can not form a triangle.
Answer:
isyllus is correct
they can not from a triangle
Step-by-step explanation:
Pleasee help
Worth 70 points
A deli sells small, medium, and large sack lunches. Each bottle of water costs $1, and each apple costs $1. Each sandwich costs s dollars. Some customers buy sack lunches, and some customers buy items separately.
Amy buys 8 sandwiches and 12 waters. Her total cost is 8s + 12.
Bob buys 8 small sack lunches. These sack lunches include 1 sandwich, 1 water, and 1 apple. His total cost is 8(s + 2).
Cathy buys 4 medium sack lunches. These sack lunches do not include water. Her total cost is 4(2s + 3)
How many sandwiches and how many apples are in each medium sack lunch that Cathy buys? Show your work or explain your answer.
Answer:
two sandwiches and 3 apple are in each medium sack lunch that Cathy buys
Steps:
Given:
each water costs $1each apple costs $1each sandwich costs $sAmy buys : 8 sandwiches and 12 waters ---> 8s + 12
Bob buys : 8 ( 1 sandwich, 1 water, and 1 apple ) ---> 8(s + 2)
Cathy buys : 4 ( 1 sandwich, 1 apple ) ---> 4(2s + 3)
Answer:
She buys two sandwiches and 3 apple.
Reminder: she doesn't buy water.
Here we can see she buys 4 medium sack lunches, the question asked for only 1 medium so we have to concentrate the things in the bracket -- ( 2s + 3 ) ............we know s is for sandwich and the 2 at the front tells she buys 2 sandwich and +3 --- this 3 cant be of water's and definitely should be of apple as this medium does not include water. Its more of understanding the question rather doing work.
Simplify: 3.2/0.4 •2• 0.4/0.1
option 1) 64
option 2) 16
option 3) 6.4
option 4) 1.6
Answer:
1
Step-by-step explanation:
3.2/0.4=8
8×2=16
16×0.4=6.4
6.4÷0.1=64
Jack is baking a cake. the recipe says that it must bake for 2 1/2 hours it has been baking for 3/4 hours how much longer must to bake? PLEASE HELP AND EXPLAIN TYSM
Answer:
Step-by-step explanation:
60 divided by 4 is 15 so 1/4 of an hour is 15 minutes. so three fourths is 45 minutes and one hour and a half is the extra hour that has not been touched so add the last 15 min from the 3/4 onto that so it still has 1 hour and 45 minutes to bake
Answer:
It still has to bake for 1 3/4 hours
Step-by-step explanation:
So, the way I do it, you start by making 2 1/2 an improper fraction, which would be 5/2. Then, you have to get it so 5/2 and 3/4 have common denominators. The fastest way to do this is to multiply the denominator 2 by 2, which means you have to do the same to the numerator. So, you have 10/4-3/4, which equals 7/4. Now, you can simplify. 7/4 = 1 3/4
i dont need the work, just the answers
Answer:
64°
Step-by-step explanation:
There are vertically opposite angles and thus are equal.
Does the system have a no solution or infinitely many solutions
Y=2/3x+2-2x+3y=6
Answer:
answer for y=2/3x+2: y=2/3x+2
answer for -2x+3y=6: x=3/2y-3
pls give brainliest
Answer:
There are infinitely many solutions.
Step-by-step explanation:
There are infinitely many solutions because if you solve the equations, you will find that both of the equations are actually the same, so there is infinitely many solutions.
Showing that both equations are equal: y=2/3x+2 -2x+3y=6
y=2/3x+2 Multiply by 3 on both sides
3y=2x+6 Rearrange (-2x on both sides)
3y-2x=6 More rearrangement
-2x+3y=6 Now, if you look back at the second equation, you will see that they are both the same.
Review the graph of complex number z
Which graph shows the conjugate of Z?
Answer:
Its the 2nd graph or graph b
Step-by-step explanation:
Answer:
B: 2nd graph.
Step-by-step explanation:
conjugate essentially means mirrored on the x axis.
If you image folding the graph on the x axis, transferring the point, and unfolding, the graph would look like B.
When tossing a two-sided, fair coin with one side colored yellow and the other side colored green, determine P(yellow).
yellow over green
green over yellow
2
one half
The calculated value of the probability P(yellow) is 0.5 i.e. one half
How to determine P(yellow).From the question, we have the following parameters that can be used in our computation:
Sections = 2
Color = yellow, and green
Using the above as a guide, we have the following:
Yellow = 1
When the yellow section is selected, we have
P(yellow) = yellow/section
The required probability is
P(yellow) = 1/2
Evaluate
P(yellow) = 0.5
Hence, the value is 0.5
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(5 points) Find ary and dia dz at the given point without eliminating the parameter. T= 34 +9, y = ft+ 4t, t = 3. = 31/9 = 46/81 dc da2
Given T = 34 + 9t, y = ft + 4t, t = 3. the value of ary and dia/dt2 at the given point without eliminating the parameter is a = 1 and dia/dt2 = 0.33. On substituting the value of t in T and y we get T = 34 + 9(3) = 61 y = f(3) + 4(3) = f(3) + 12
So the parameter f(t) = y - 12
Thus f'(t) = dy/dt = dia/dt2 - 12
The derivative of T with respect to t is dT/dt = ary/this can be written as a = dT/dc × 1/dt.
Now dT/dc = 9 and dt/dT = 1/9.
Therefore, a = 1.
Let us now find out the value of dia/dt2.
From f'(t) = dy/dt - 12,
we have dia/dt2 = d2y/dt2 = f''(t)
For this, we have to differentiate f'(t) with respect to t.
On differentiating we get:
f''(t) = dia/dt2 = d2y/dt2 = dy/dt/dt/dt = d(f'(t))/dt
Now, f'(t) = dy/dt - 12So, f''(t) = d(dy/dt - 12)/dt = d2y/dt2
This can be written as dia/dt2 = d2y/dt2 = f''(t) = d(f'(t))/dt= d(dy/dt - 12)/dt= d(dy/dt)/dt= d2y/dt2
On substituting the values of y and t in dia/dt2 = d2y/dt2,
we get dia/dt2 = f''(t) = d(dy/dt)/dt = d(4 + ft)/dt= df(t)/dt= dc/dt
Thus, dia/dt2 = dc/dt.
Given t = 3,
we get: f(3) = y - 12 = 46/9
Now, T = 61 = 34 + 9t, so t = 27/9
Therefore, c = 27/9, f(t) = y - 12 = 46/9 and t = 3
On substituting these values in dia/dt2 = dc/dt,
we get dia/dt2 = dc/dt= (27/9)'= 1/3= 0.33 approximately
Hence, the value of ary and dia/dt2 at the given point without eliminating the parameter is a = 1 and dia/dt2 = 0.33.
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A watermelon has a mass of 6.45 kilograms. What is the mass of the watermelon in grams
6540 g
Calculations ↓Convert kilograms (kg) into grams (g) by multiplying the amount of kilograms (kg) by 1000 :
\(\boxed{\rm{6.45\:kg\:\:\:\:\:\:\:}}\) times 1,000 --> \(\boxed{\rm{6540\:g\:\:\:\:}}\)
So the mass of the watermelon is :\(\Large\text{6540\:g}\)
\(\small\text{hope\:helpful~}\)
PLEASE QUICK HELP ME
Answer:
x = 115°
Step-by-step explanation:
Line a and line b are parallel lines
x° and the angle with measure 115° are alternate exterior angles so they have same measurement and each is 115°
What is the mean absolute deviation of 10 10 9 8 10 5 6 4 8 4
The mean absolute deviation of the given data set is approximately 2.16.
To find the mean absolute deviation (MAD), we first need to calculate the mean of the data set:
Mean = (10 + 10 + 9 + 8 + 10 + 5 + 6 + 4 + 8 + 4) / 10 = 7.4
Next, we calculate the absolute deviation of each data point from the mean:
|10 - 7.4| = 2.6
|10 - 7.4| = 2.6
|9 - 7.4| = 1.6
|8 - 7.4| = 0.6
|10 - 7.4| = 2.6
|5 - 7.4| = 2.4
|6 - 7.4| = 1.4
|4 - 7.4| = 3.4
|8 - 7.4| = 0.6
|4 - 7.4| = 3.4
Then, we find the average of these absolute deviations:
MAD = (2.6 + 2.6 + 1.6 + 0.6 + 2.6 + 2.4 + 1.4 + 3.4 + 0.6 + 3.4) / 10 ≈ 2.16
Therefore, the mean absolute deviation of the given data set is approximately 2.16.
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one hundred concentric circles with radii are drawn in a plane. the interior of the circle of radius is colored red, and each region bounded by consecutive circles is colored either red or green, with no two adjacent regions the same color. the ratio of the total area of the green regions to the area of the circle of radius 100 can be expressed as , where and are relatively prime positive integers. find .
The ratio of the total area of the green regions to the area of the circle of radius 100 can be expressed as 1251/2500.
In the given scenario, there are 100 concentric circles with radii in a plane. The interior of the circle with radius 1 is colored red, and each consecutive region bounded by the circles is colored either red or green, ensuring that no two adjacent regions have the same color.
To find the ratio of the total green area to the area of the circle with radius 100, we can consider the pattern that emerges.
When we examine the regions, we observe that the first circle (radius 1) and the second circle (radius 2) are both colored red.
However, starting from the third circle (radius 3), the colors alternate between red and green. This alternating pattern continues until the 100th circle (radius 100).
Since there are 50 red regions and 50 green regions, the ratio of the total green area to the area of the circle with radius 100 is 50/100 or 1/2.
Therefore, the ratio can be simplified as 1/2 = 1251/2500, where the numerator (1251) and denominator (2500) are relatively prime positive integers.
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Does this shape have rotational, reflection, both or none