With the help of unitary method it can be found out that Tomás has to buy more 3650 grams of oranges if he wants to reach 5 kg.
It is given to us that -
Tomás first chose a tray with oranges whose label says 1,350 gram
We have to find out more grams of oranges that he should buy if he wants to reach 5 kilogram.
We know that
1 kilogram = 1000 grams
=> 1000 grams = 1 kilogram ----- (1)
By unitary method, we can find out the number of kilograms equivalent to 1350 grams of oranges.
From equation (1), we have
1000 grams = 1 kilogram
=> 1350 grams = (1/1000) * 1350
=> 1350 grams = 1.35 kilograms ----- (2)
Now, from equation (2), we can see that Tomás first chose 1,350 grams of oranges which is equal to 1.35 kilograms of oranges.
This implies that the more kilograms of oranges that Tomás has to buy to reach 5 kilograms is given by -
(5 - 1.35) kilograms
= 3.65 kilograms
From equation (1), we have
1 kilogram = 1000 grams
=> 3.65 kilograms = 3.65 * 1000 grams
=> 3.65 kilograms = 3650 grams.
Thus, by solving through unitary method we find out that Tomás has to buy more 3650 grams of oranges if he wants to reach 5 kg.
To learn more about unitary method visit https://brainly.com/question/22056199
#SPJ9
Jacob and Ryan are plumbers. Jacob charges $50 call-
out fee and $70 per hour. Ryan charges $40 call-out fee
and $75 per hour.
Write an expression for the total cost in dollars that
each electrician charges if they work for h hours.
Jacob
Ryan
Answer:
Lets do Jacob's equation first :)
50$ for fee
70$ per hour (h)
Dollars = 70h + 50
Now lets do Ryan's :)
40$ for fee
75 per hour (h)
Dollars = 75h + 40
Have an amazing day!!
Please rate and mark brainliest!
Please help me! Much needed ASAP!
The correct option regarding whether the linear functions are parallel is given as follows:
C. The slope of f(x) is of 2 and of g(x) is of 5. Since they are different, the lines are not parallel.
What are parallel linear functions?First, we start with the definition of a linear function, in slope-intercept format, which is given as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope of the function.b is the y-intercept of the function.If two linear functions are parallel, they have the same slope.
The slope is given by the change in y when x is increased by one, hence the slopes of the functions are given as follows:
Slope of f(x) = 2, as when x increases by one, y increased by 2.Slope of g(x) = 5, as when x increases by one, y increased by 5.Due to the different slopes, the two lines are not parallel, hence option C is correct.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Which triangle is △ABC similar to and why?
Answer:
can we get a picture
Step-by-step explanation:
Alyson bought six packs of crayons for $19.50. What is the cost of a pack of crayons, in dollars, if all the packs cost the same? anyone got the answer 7th grade btw
Answer:
Answer would be $3.25
Step-by-step explanation:
First you would have to divide 19.5 by 6 to get 3.25 then check your answer by multiplying 3.25 by 6 which would be 19.50 .
help please only have till 12
y=mx+b
Answer:
The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.
1. What property is demonstrated by the following example: 3+1 = 1+3
2 points
distributive
associative
additive identity
commutative
Clear selection
2. Which property is displayed in the given example: 4(2-x) = 8 - 4x
2 points
distributive
associative
commutative
multiplicative inverse
Clear selection
3. Which of the following examples displays the additive identity property:
2 points
3+(1+2) = (3+1) + 2
3 + 0 = 3
3+1 = 1+3
3/1(1/3) = 1
Clear selection
4. Which property below is shown here: 32 + (x +2) = (32 + x) + 2
2 points
distributive
associative
additive identity
commutative
Clear selection
5) Which of the following is an example of an expression?
*
2 points
Option 1
Option 2
Option 3
Option 4
6) Translate: Thirteen less than twice a number
*
2 points
Option 1
Option 2
Option 3
Option 4
7. The following example is demonstrating which property: 4/1(1/4)=1
2 points
distributive
associative
commutative
multiplicative inverse
8) Which of the following best describes a monomial?
*
2 points
A algebraic expression with three terms
An algebraic expression containing exactly one term
A number that has more than two factors
An algebraic expression containing two terms.
9) Charlie was evaluating the expression below and made an error. In what line did he make his error? (unit 2 Integer review)
*
2 points
Captionless Image
(1) Line #1
(2) Line #2
(3) Line #3
(4) Line #4
10) Which number sets does "0" belong to? (Unit 1 Number sets review)
*
2 points
Rational ONLY
Real, Rational, Integer, and Whole Numbers
Real and Irrational Numbers
Real and Natural Numbers
11. Solve 2/3 divided by 0.8 (Unit 3 operations with rational numbers review)
2 points
2 1/2
5/6
2 2/5
0
12. Which expression below is an example of a binomial?
2 points
2x
2x + 2
2xy + x + 2
2xy
13. Which expression correctly simplifies the polynomial? 2x - 4 + 3x + 24
2 points
1x + 20
5x + 28
1x + 28
5x + 20
14. Which expression correctly simplifies the following expression? 2.5(3n + 3.6)
2 points
5.5n + 6.5
7.5n + 3.6
7.5n + 9.0
5.5n + 9.0
15. After you translate the following problem, which choice shows the negative 1 distributed correctly? Subtract (4m + 15) from (12m - 10)
2 points
4m +15 - 12m - 10
4m +15 - 12m + 10
12m - 10 - 4m + 15
12m - 10 - 4m - 15
16. Factor the following expression: 6x - 18
2 points
2(3x - 9)
3(2x - 6)
6(1x - 3)
9(3x - 2)
Submit
Clear form
Answer:
1:commutative
2:distribution
3:3+0=3
4:distributive
5:
A 5-pound package of
ground beef is $10.10. A
1/2 pound package is $1.05.
What is the difference in
the cost per pound between
the larger and smaller
packages of beef?
Answer: I would say a half of beef is cheaper the pounds are different maybe subtract a half from five
Step-by-step explanation:
help please??? for brianlest???
Step-by-step explanation:
Domain is the x value and Range is the y value. (A way to remember is by saying dr since domain is x and range is y)
Y value is also called f(x) as shown on your screen
The points are
(1,-8)
(2,5)
(3,-2)
(4,1)
The domain would be 4,3,2,1 and the range would be -8,-2,1,5
The common difference is that the domain follows a constant change of rate, but not the range.
A constant change of rate means that it's changing at a constant rate.
It can also be called slope.
E.G: 1,2,3,4 (constant change of rate is adding 1) or 9,6,3,0 (subtracting 3)
The domain is subtracting 1, yet the range isn't following a constant change of rate.
A way to find slope is in the image.
AM median CM=5x-2 MB = 3x +12 Find CB
The length of the segment CB in triangle ABC where [tex]\overline{AM}[/tex] is a median line and CM = 5·x - 2, MB = 3·x + 12, CM = MB, is 66 units
What is a median line of a triangle?A median line is a line that is drawn from a vertex of a triangle to the middle of the opposite side such that the it bisects the opposite side.
The parameters are; [tex]\overline{AM}[/tex] = A median line
Length of segment CM = 5·x - 2
Length of segment MB = 3·x + 12
Required; The length of segment CB
The median line [tex]\overline{AM}[/tex] bisects the segment CB
Therefore; CM = MB
CB = CM + MB (Angle addition postulate)
Which gives; 5·x - 2 = 3·x + 12 (substitution property of equality)
5·x - 3·x = 2 + 12 = 142·x = 14
x = 14 ÷ 2 = 7
x = 7CB = CM + MB
CB = (5·x - 2) + (3·x + 12)
Which gives; CB = 8·x + 10
x = 7
CB = 8×7 + 10 = 66
The length of segment CB = 66
Learn more about the median line of a triangle here:
https://brainly.com/question/27341697
https://brainly.com/question/16189203
https://brainly.com/question/20530151
#SPJ1
The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 15 minutes and a standard deviation of 4 minutes. (a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price? (b) If the automotive center does not want to give the discount to more than 7% of its customers, how long should it make the guaranteed time limit?
a) 25 % of customers receive the service for half-price.
b) The guaranteed time limit should be of 16 minutes.
What is Z-score?The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score.
When the distribution is normal, we use the z-score formula.
The p-value is the probability that the value of the measure is smaller than X, which is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
we have that mean of 15 minutes and a standard deviation of 4 minutes.
(a) Longer than 20 minutes is 1 subtracted by the p value of Z when X = 20. So
[tex]Z = \dfrac{{x} - \mu}{\sigma}[/tex]
Z = (20 - 15)/4
Z = 5/4
Z = 1.25
1.25 has a pvalue of 0.25
1 - 1.25= 0.25
25 % of customers receive the service for half-price.
(b) The time limit should be the 100 - 7 = 93th percentile, which is X when Z has a pvalue of 0.93. So X when Z = 0.25.
[tex]Z = \dfrac{{x} - \mu}{\sigma}[/tex]
0.25= (x- 15)/4
x = 16
The guaranteed time limit should be of 16 minutes.
Learn more about z-statistic here:
https://brainly.com/question/1640298
#SPJ1
Make Sense and Persevere
There are 5 players on a basketball team. In a game 4 players
scored 6 points each. The team scored a total of 34 points.
How many points did the other player score?
1. Tell how to make sense of the problem.
2. Tell the quantities you know. Then explain what you need
to find first to solve the problem.
3. Tell which operations you will use. Then solve the problem.
A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 23 subjects had a mean wake time of 92.1 min and a standard deviation of 40.5 min. Assume that the 23 sample values appear to be from a normally distributed population and construct a 98% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Does the result indicate whether the treatment is effective?
A 98% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments is
70.9 min < x-bar < 113.3 min
Yes, the result indicate that the treatment is effective
How to get the confidence intervalConfidence interval gives the probability that the unknown parameter will fall within a stated range
The confidence interval is constructed using the formula
confidence interval = x-bar ± z(s/√n)
Definition of variables
mean, x-bar = 92.1 min
standard deviation, s = 40.5 min
sample size, n = 23
confidence level = 98%
z score, z
For sample size less than 30, n < 30. t scores are used
degree of freedom, df = n - 1 = 23 - 1 =22
t score for 98% confidence level and dt of 22 = 2.509
substituting into the formula
= x-bar ± t(s/√n)
= 92.1 ± 2.509 (40.5 / √23)
= 92.1 ± 21.188
= 70.9112 < x-bar < 113.288
Effectiveness of the treatment
when a test a test more than 2 standard deviations away from mean it is considered unusual. The usual range is
= 92.1 ± 2 * 40.5
= 11.5 < x-bar < 173.5
Hence the treatment is effective
Learn more about standard deviation at:
https://brainly.com/question/28948351
#SPJ1
I can determine if a function is linear or
nonlinear.
4. Determine if the table represents a
linear or nonlinear function.
Answer:
1st Table : Linear
2nd Table : Non-Linear
Step-by-step explanation:
To determine if the function is Linear or not , we find the change in y with a certain change in x
So for the 1st Table:
When x changes from x = 2 to x = 4 increased by 2
Then y changes from y = 3 to y = 0 decreases by 3
When x changes from x = 4 to x = 6 increased by 2
Then y changes from y = 0 to y = -3 decreases by 3
Since change in y is the same for the same change in x , Then the Function is Linear
So for the 2nd Table:
When x changes from x = 1 to x = 2 increased by 1
Then y changes from y = 1 to y = 4 increased by 3
When x changes from x = 2 to x = 3 increased by 1
Then y changes from y = 4 to y = 9 increased by 5
Since change in y is not the same for the same change in x , Then the Function is Non-Linear
Glad to Help
What is the slope of this line
Answer: Slope is 0
Step-by-step explanation
the graph's points doesn't change its value on the y - values but the x values change by 1 meaning the slope is 0/1 meaning there is no slope
K
Find the equation of a line that is perpendicular to the line y=
y= (Type your answer in slope-intercept form.)
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{5}}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{5}} ~\hfill \stackrel{reciprocal}{\cfrac{5}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{5}{1}\implies -5}}[/tex]
so we're really looking for the equation of a line whose slope is -5 and that it passes through (-4 , 0)
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\hspace{10em} \stackrel{slope}{m} ~=~ - 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{- 5}(x-\stackrel{x_1}{(-4)}) \\\\\\ y -0= -5 (x +4) \implies {\Large \begin{array}{llll} y=-5x-20 \end{array}}[/tex]
if after 40 month amount of 2375 is received by 15/2% interest rate, how much is principal ?
The principal is 1900
From the question, we have
after 40 month amount of 2375 is received by 15/2% interest rate
T = 40/12 = 10/3
amount = 2375 = P+I
R = 15/2%
amount = P+I
2375 = P+(PRT)/100
2375 = P(1+(RT)/100)
substituting the value we get
2375 = P(1+(25)/100)
2375 = P*125/100
P = 2375*100/125
P = 1900
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
To learn more about multiplication visit: https://brainly.com/question/5992872
#SPJ9
If 7-3(2x-1)=2x+26, then x=
The value of x in 7-3(2x-1)= 2x+26 is -4
What is linear equation?Linear equation is is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line. The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution. For example, the equation x + 3= 0 has only one solution as x = -3.
To find x in 7-3(2x-1)= 2x+26 ,we solve the parentheses first which will give
7- 6x+3= 2x+26
collect the like terms
-6x-2x=26-3-7
-8x= 16
divide both side by -8
-8x/-8= 16/-8
therefore x= -2
learn more about linear equations from
https://brainly.com/question/2030026
#SPJ1
A test is worth 100 points. Each problem is worth either 2 points or 5 points. The number of 5-point problems is 22 fewer than the number of 2-point problems. How many problems of each type are on the test?
The number of 2 points and 5 points are 30 and 8 respectively.
How to calculate the value?Let the number of 5 points = x
Let the number of 2 points = x + 22
It was also stated that the test is worth 100 points and that each problem is worth either 2 points or 5 points.
This will be:
5x + 2(x + 22) = 100
5x + 2x + 44 = 100
7x + 44 =
Collect like terms
7x = 100 - 44
7x = 56
Divide
x 56 / 7
x = 8
Number of 5 points = 8
Number of 2 points = x + 22 = 8 + 22 = 30
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
On December 12, Lowell Corporation accepted a $160,000, 120-day, non-interest-bearing note from Able.com. What is the maturity value of the note?
If On December 12, Lowell Corporation accepted a $160,000, 120-day, non-interest-bearing note from Able.com. the maturity value of the note is: $213,333.
How to find the maturity value of the note?Using this formula to find the maturity value of the note
Maturity value of the note = Principal + interest
Let plug in the formula
Maturity value of the note = $160,000 + ($160,000 × 120 /360)
Maturity value of the note = $160,000 + $53,333
Maturity value of the note = $213,333
Therefore the maturity value of the note is $213,333.
Learn more about maturity value of the note here:https://brainly.com/question/24374294
#SPJ1
What is the slope-intercept form of the equation of the line shown in the graph?
The equation in slope intercept form is y= (-3/4)x + 95.
What is Linear Function?An equation can be represented by a linear function. The standard form for the linear equation is:
y= mx+b , for example, y=x+4.
Where: m= the slope.
It can be calculated for Δy/Δx.b= the constant term that represents the y-intercept. For the given example: m=1 and b=4.
It is important to inform that the standard form for the linear equation can be called slope-intercept form.
For writing a linear equation, you need two points. From the given graph, it is possible to extract some points, such as: (20,80), (60,50). Then, you should replace the known points in the slope-intercept form (y=mx+b).
For the point (20,80), you can write 80=m*20+b. And for the point (60,50), you can write 50=m*60+b.
Thus, you have:80=20m+b (1)50= 60m +b (2)For solving the previous system, you have to multiply the equation 1 by -1.
Thus,-80=-20m-b (1)50= 60m +b (2)
After that, sum equations 1 and 2.-80+50 = -20m+60m-30=40mm=-30/40m=-3/4
Now, you have y= (-3/4)* x+b.
For finding coefficient b, you should use one of the given points. For example:
(20,80).
y= (-3/4)*x+b for (20,80)80
= -3/4*(20) +b 80
= - 60/4+bb=80 + 60/4b=(320+60)/4b=380/4b
=95
Therefore, the equation in slope intercept form is y= (-3/4)*x + 95.
Read more about the linear equations here:
brainly.com/question/2030026
#SPJ1
h.
Week 5
Day 5
Date: 21/10/2022
A bag of garri weighs 12kg 104g. Find the weight of 6
such bags.
Answer:
72.624 kg
Step-by-step explanation:
1g = 0.001 kg
104g = 0.104kg
weight of 1 bag = 12.104kg
weight of 6 bags = 12.104 x 6
weight of 6 bags = 72.624kg
What is the difference between communism and capitalism
Answers
The primary difference explained in capitalism vs communism is that capitalism is an economic system that allows private ownership and promotes the idea of a free market; in contrast, communism favours collective ownership and restricts the free market with government intervention portraying a planned economy.
Explanation
What is Capitalism?
Capitalism occurs when people are allowed to own and control capital assets, use them according to their self-interest, and earn profit by producing valued goods and services utilizing capital resources. In a capitalist economy, government intervention will be minimal; hence, the production of goods and services is driven by supply and demand. It creates an environment that promotes individualism, innovations, competition, efficient allocation of resources, the efficiency of the private sector, presenting consumers with better choices, and improving living standards. capitalism vs communism.
On the other hand, capitalism is often blamed for favouring the rich. The opponents of the system advocate that in capitalism, the rich get richer and the poor get poorer instigating the unequal distribution of wealth and inequality, creating social division. Moreover, in the wake of producing profit, the capitalist model exploits the workers, and unfair competition can also lead to the emergence of monopolies in specific sections. All these disadvantages communicate the need for the reformation of capitalism.
What is Communism?
Communism ideology aims to establish common ownership and eliminate the private property concept. It simply focuses on replacing private ownership and introducing state-owned organizations, projects, resources, and properties, ensuring economic equality and fairness. Such economies work towards achieving social development, welfare, and the overall development of all the citizens of a nation.
China has long been a significant example of a communist government where the government-controlled major resources, funds, products, and services, but later due to globalization and certain other aspects, has started implementing some elements of capitalism to grow business and take advantage of trade opportunities. Similarly, it has been observed that many nations turn their heads toward capitalism to obtain more opportunities, attain industrialization, and reap the benefits of globalization hence strengthening the capitalism vs communism debate.
Capitalism and communism are inherently contrasting concepts. While capitalism propagates individualism, communism is associated with collectivism. Industrial capitalism was popularised in the 18th century, and modern communism was propagated in the 19th century.
The instances reflecting the conflict based on these ideologies were prevalent from the old times. For example, ideological conflict, and capitalism vs. communism in the Cold War of the 20th century. During the Cold War, the United States and Western European nations were based on capitalism and democracy. In contrast, the Soviet Union was based on communism and dictatorship, and Eastern European nations were under Soviet communist control. Many of the significant events in the Cold War contributed to explaining whether capitalism was better than communism or not.
Line x is the perpendicular bisector of segment ZY
what does b=
Based on the definition of perpendicular bisector, the value of b = 5.
What is a Perpendicular Bisector?A perpendicular bisector can be described as any line that bisects another line segment at right angles.
This means, the measure of the angles at the point of bisection are right angles (90 degrees).
Therefore:
12b + 30 = 90 [definition of perpendicular bisector]
Solve for b
12b + 30 - 30 = 90 - 30
12b = 60
Divide both sides by 12
12b/12 = 60/12
b = 5
Learn more about the perpendicular bisector on:
https://brainly.com/question/11006922
#SPJ1
Let log_b 4= G and log_b9= S. Write the expression in terms of G and S
S-G is the expression in terms of G and S
What is the expression in terms of G and S?Given: log_b 4 = G, log_b9 = S and log_b 9/4
To write log_b 9/4 in terms of G and S, we need to understand logarithm division rule, which states that:
When you divide two values with the same base is to subtract the exponents. Simply, the rule for division is to subtract the logarithms i.e.
logₓ (a/c) = logₓa - logₓc
Thus, log_b (9/4) = log_b 9 - log_b 4 = S - G
(Note: log_b 4 = G and log_b9= S)
Therefore, the expression log_b (9/4) in terms of G and S is S-G
Learn more about logarithm rules on:
https://brainly.com/question/28596566
#SPJ1
The drama club sold $1,416 worth of tickets for its fall play. If each ticket cost $8, how many tickets did the club sell?
Find the difference between -14w - 3 and 5w.
A -9 w - 3
B -19 w + 3
C -19 w - 3
D -22 w
Quick pls
Answer:
c
Step-by-step explanation:
cause -14w-3-(5w)
-14w-5w-3
-19w-3
Solve: √2x-9 = x-6
a) x=9
b) The equation has no solution.
c) x= 5,9
d) x=5
Answer:
A
Step-by-step explanation:
STEP 1:
Isolate the square root on the left hand side
Radical already isolated
√2x-9 = x-6
STEP 2:
Eliminate the radical on the left hand side
Raise both sides to the second power
(√2x-9)2 = (x-6)2
After squaring
2x-9 = x2-12x+36
STEP 3:
Solve the quadratic equation
Rearranged equation
x2 - 14x + 45 = 0
This equation has two rational roots:
{x1, x2}={9, 5}
STEP 4:
Check that the first solution is correct
Original equation
√2x-9 = x-6
Plug in 9 for x
√2•(9)-9 = (9)-6
Simplify
√9 = 3
Solution checks !!
Solution is:
x = 9
STEP 5:
Check that the second solution is correct
Original equation
√2x-9 = x-6
Plug in 5 for x
√2•(5)-9 = (5)-6
Simplify
√1 = -1
Solution does not check
1 ≠ -1
One solution was found :
x=9
Hope this helps!!
Find the ratio of the volume of the triangular prism
to the volume of the cuboid.
Give your answer in its simplest form.
4 cm
20 cm
9 cm
cm
5 cm
6 cm
The ratio of the volume of the triangular prism to the volume of
the cuboid is 3: 20
What do you mean by prism?
A prism is a three-dimensional solid object with identical ends. It is a result of the elements of flat faces, identical bases, and equal cross-sections. The prism's faces are either parallelograms or rectangles without bases.The base of the triangular prime is a right triangle with legs 5 cm, 4 cm
∴ b = 5 cm and h = 4 cm
∵ Its height is 9 cm
∴ H = 9 cm
→ Substitute them in the rule of the prism above
∵ V = 1/2 * (5)(4) × 9
∴ V = 90 cm³
∵ The dimensions of the base of the cuboid are 6 cm and 5 cm
∴ L = 6 cm and W = 5 cm
∵ Its height is 20 cm
∴ H = 20 cm
→ Substitute them in the rule of the cuboid above
∵ V = 6 × 5 × 20
∴ V = 600 cm³
→ Find the ratio between them
∵ V: V = 90: 600
→ Divide each term of the ratio by 30 to simplify them
∴ V: V = 3: 20
∴ The ratio of the volume of the triangular prism to the volume of
the cuboid is 3: 20
Learn more about Prism
brainly.com/question/12649592
#SPJ13
A bacteria culture initially contains 2500 bacteria and doubles every half hour.
Find the size of the bacterial population after 20 minutes.
Find the size of the bacterial population after 8 hours.
Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
The expansion of (3x-4y)¹¹ using Pascal's Triangle is:
177147x¹¹ - 2598156x¹⁰y - 17321040x⁹y² - 69284160x⁸y³ - 184757760x⁷y⁴ - 344881152x⁶y⁵ - 458941536x⁵y⁶ - 437944320 x⁴y⁷ - 291962880x³y⁸ - 129761280x²y⁹ + 34603008xy¹⁰ - 4194304y¹¹.
What is Pascal's Triangle?The triangle-shaped array of integers known as Pascal's triangle has one at the top and one on each of its two sides. Every new number has a value equal to the sum of the two numbers above it and is located between two other numbers and underneath them. Pascal's triangle is a triangular array of binomial coefficients that appears in algebra, combinatorics, and probability theory.In algebra, a triangle-shaped grouping of integers known as Pascal's triangle provides the coefficients for the expansion of any binomial formula, such as (x + y)ⁿ. Although it is much older, it bears the name of the French mathematician Blaise Pascal from the 17th century.So, the expression is:
(3x-4y)¹¹Now, use Pascal's Triangle to expand as follows:
(Refer table attached below for expansion)Therefore, the expansion of (3x-4y)¹¹ using Pascal's Triangle is:
177147x¹¹ - 2598156x¹⁰y - 17321040x⁹y² - 69284160x⁸y³ - 184757760x⁷y⁴ - 344881152x⁶y⁵ - 458941536x⁵y⁶ - 437944320 x⁴y⁷ - 291962880x³y⁸ - 129761280x²y⁹ + 34603008xy¹⁰ - 4194304y¹¹.
Know more about Pascal's Triangle here:
https://brainly.com/question/13670757
#SPJ13