The surface area of the rectangular prism is 29 2/3 ft²
How to determine the surface areaThe formula for calculating the surface area of a rectangular prism is expressed as;
SA = 2(wl + hw + hl)
Where the parameters are;
SA is the surface areaw is the width of the prismh is the height of the prisml is the length of the prismFrom the information given, we have that;
Wl = 3 × 5/2
multiply the values
wl = 15/2
hw = 4/3 × 3
hw = 4
hl = 4/3 × 5/2 = 20/6 = 10/3
Substitute the values
Surface area = 2(4 + 10/3 + 15/2)
Surface area = 2(24 + 20 + 45/6)
Surface area = 2(89)/6
Surface area = 89/3 = 29 2/3 ft²
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please show work
5x+20=3x+4
7x-4=3x+8
2x+6=x-9
Answer:
To evaluate an expression, first calculate the
powers, then multiply and divide in order from
left to right, and finally add and subtract in order
from left to right. Parentheses have preference.
example: 14 − 3
2
= 14 − 9 = 5
example: 2• 4 + 3•5 = 8 +15 = 23
example: 10 − 2 • 3
2
=10 − 2 • 9 =10 −18 = −8
example: (10 − 2) • 3
2
= 8•9 = 72
Problems 1-7: Find the value:
1. 2
3
= 5. 0
4
=
2. −2
4
= 6. (−2) 4
=
3. 4 + 2•5 = 7. 1
5
=
4. 3
2
− 2 • 3+1=
Problems 8-13: Find the value if a = −3, b = 2 ,
c = 0, d = 1, and e = −3:
8. a −e = 11. e
d
+
b
a
−
2d
e
=
9. e
2
+ (d − ab)c = 12. b
e
=
10. a −(bc − d) + e = 13. d
c
=
Step-by-step explanation:
To evaluate an expression, first calculate the
powers, then multiply and divide in order from
left to right, and finally add and subtract in order
from left to right. Parentheses have preference.
example: 14 − 3
2
= 14 − 9 = 5
example: 2• 4 + 3•5 = 8 +15 = 23
example: 10 − 2 • 3
2
=10 − 2 • 9 =10 −18 = −8
example: (10 − 2) • 3
2
= 8•9 = 72
Problems 1-7: Find the value:
1. 2
3
= 5. 0
4
=
2. −2
4
= 6. (−2) 4
=
3. 4 + 2•5 = 7. 1
5
=
4. 3
2
− 2 • 3+1=
Problems 8-13: Find the value if a = −3, b = 2 ,
c = 0, d = 1, and e = −3:
8. a −e = 11. e
d
+
b
a
−
2d
e
=
9. e
2
+ (d − ab)c = 12. b
e
=
10. a −(bc − d) + e = 13. d
c
=
[MA]:
x = -8
x = 3
x = -15
The explanation:
5x + 20 = 3x + 4
5x = 20 - 20 = 3x + 4 - 20
subtract = subtract = 5x = 3x - 16
5x = 3x - 16
5x - 3x = 3x - 16 - 3x
7x - 4 = 3x + 8
7x - 4 + 4 = 3x + 8 + 4
7x = 3x + 12
7x = 3x + 12
7x - 3x = 3x + 12 - 3x
2x + 6 = x - 9
2x + 6-6 = x - 9-6
2x = x - 15
2x = x - 15
2x - x = x - 15 - x
x = - 15
What is the sum of the infinite geometric series infinite?
The sum of the infinite geometric series infinite will be given as "S = a / (1 - r)".
The sum of an infinite geometric series exists only if the common ratio (r) is between -1 and 1 (excluding -1 and 1). In that case, the sum can be calculated using the formula:
S = a / (1 - r)
where 'a' is the first term of the series.
If the common ratio (r) is outside the range mentioned above, the infinite geometric series does not have a finite sum.
It's important to note that if the common ratio is between -1 and 1, the sum of the infinite geometric series will converge to a specific value, but it will not reach infinity.
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Why should golfers wear 2 pants?
Answer:
Answer:
In case he got a hole in one lol XD
survey of a company's employees explored the relationship between employee status and support of a new workplace safety policy The results are displayed in the following two-way frequency table. Workplace Safety Policy For Against Total Part-Time
Employee 20 60 80 Full-Time Employee 100 20 120 Total 120 BO 200 used on the table above, which of the following statements are true? There are twice as many part-time employees against the workplace safety policy than full-time employees against the workplace safety policy IL There are more employees for the workplace safety policy than against the workplace safety policy There is an equal number of part-time employees and full-time employees.
Answer:
ll and lll
Step-by-step explanation:
Point D is 1/n of the way from C(-2.5, 1.25) to E(5, 15). What are the coordinates of D if n=5?
Point D's coordinates are mathematically given as: ( -0.5, 0.25 ).
The meaning of coordinate geometry.
What are the coordinates of D if n=5?
A coordinate plane is a flat, two-dimensional surface formed by the intersection of the x- and y-axes. The use of a collection of numbers to precisely locate points is called a "coordinate system" in geometry.
From C(2.5, 1.25) to E(5, 15), with n = 5, point D is 1/n of the way.
Point D will have these coordinates:
D = (1 / n) C
= ( 1 / n ) ( -2.5 , 1.25 )
= (1 / 5) ( -2.5 , 1.25 )
= ( -0.5 , 0.25 )
In conclusion, point D coordinates are ( -0.5, 0.25 ).
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The vertices of quadrilateral DEFG are D(-2, 6), E(-4, 6), F(-6, 9), and G(-1, 9). Find the coordinates of the image of quadrilateral DEFG after a translation using the rule (x, y) → (x + 1, y - 6), a reflection over the x-axis, and a reflection over the y-axis
Answer:
the coordinates from all of the transformations are (1,0) (3,0) (5,-3) (0,-3)
Step-by-step explanation:
after using the first rule the coordinates were (-1,0)(-3,0)(-5,3)(0,3)
after reflectiong it over the x-axis (-1,0)(-3,0)(-5,-3)(0,-3)
after reflecting it over the y-axis it gave the final answer of (1,0) (3,0) (5,-3) (0,-3)
please help with this problem
Answer:
9
Step-by-step explanation:
constant of proportionality in this problem is the cost per pant
debbi spent a total of 6 hours decorating her classroom. She worked in sessions that each lasted 1/3 hour Write an equation that can be used to determine how many sessions debbi needed solve the equation you wrote
do the chi-square for his coin flipping. he flipped 100 coins, and 60 are heads and 40 tails. what chi-square should he get?
The predicted number of heads and tails in the current coin-flipping situation must be determined before we can calculate the chi-square value. We obtain a chi-square value of 4 from the scenario, which is the sum of (60-50)^2/50 and (40-50)^2/50.
To calculate the chi-square value for the given coin-flipping scenario, we need to first determine the expected number of heads and tails if the coin is fair. Assuming a fair coin, we would expect 50 heads and 50 tails in 100 flips. We can then use the chi-square formula, which is (observed value - expected value)^2 / expected value, to calculate the chi-square value. Using the values from the given scenario, we get a chi-square value of 4, which is the sum of (60-50)^2/50 and (40-50)^2/50.
The chi-square test is a statistical test used to determine if there is a significant difference between observed and expected values in categorical data. In this scenario, we are testing whether the observed number of heads and tails in 100 coin flips differs significantly from the expected values if the coin is fair. The resulting chi-square value of 4 suggests that there is some difference between the observed and expected values, but it is not significant at a standard alpha level of 0.05. If the chi-square value had been larger, we would have rejected the null hypothesis of a fair coin and concluded that the coin is biased towards either heads or tails.
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how many terms of the series do we need to add in order to find the sum to the indicated accuracy?
In order to find the sum of a series to the indicated accuracy, we need to add a sufficient number of terms. The number of terms required depends on the accuracy desired, and the convergence of the series.The sum of an infinite geometric series is given by the formula:$$S_n=\frac{a(1-r^n)}{1-r}$$Where S is the sum of the series, a is the first term, r is the common ratio, and n is the number of terms.
Let's say we want to find the sum of the series to the accuracy of 0.0001. We will need to find the number of terms required to achieve this accuracy.Let's take an example of the series:$$\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} + \cdots$$The common ratio of this series is 1/2. Let's assume we want to find the sum accurate to four decimal places. That means we want to find the sum accurate up to 0.0001.
Let's assume that n terms are required to achieve the desired accuracy. Then we have:$$\frac{1}{2^{n+1}} < 0.0001$$Solving for n, we get:n > 13.28Since we need an integer value for n, we round up to the next integer. Therefore, we need at least 14 terms of the series to add to find the sum accurate to 0.0001.
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Find the exact value of each expression. (Only part B)
Given the expression:
sin(135° - 60°)
Let's find the exact value of the expression.
First simplify the expression in the parentheses:
sin(135° - 60°) = sin(75°)
The exact value of sin(75°) is:
\(sin(75^o)=\frac{\sqrt{2}+\sqrt{6}}{4}\)Part B.
Given the expression:
sin135° - cos60°
Let's find the exact value.
Apply the reference by finding the equivalent angle in the first quadrant.
\(\begin{gathered} 135-90=45^o \\ \\ \text{ Thus, we have:} \\ sin45-cos60 \end{gathered}\)We have the following:
\(\begin{gathered} Exact\text{ value of sin45=}\frac{\sqrt{2}}{2} \\ \\ Exact\text{ value of cos60=}\frac{1}{2} \end{gathered}\)Therefore, the exact value of the expression is:
\(\frac{\sqrt{2}}{2}=\frac{1}{2}\)ANSWER:
• Part A.
\(\begin{gathered} \frac{\sqrt{2}+\sqrt{6}}{4} \\ \end{gathered}\)• Part B.
\(\frac{\sqrt{2}}{2}-\frac{1}{2}\)Please helppppp!!!
Convert 2/7 to a decimal.
Round to the nearest hundredth.
Answer:
0.29
Step-by-step explanation:
I know
A sandbox has a volume of 330 cubic feet of sand. If the sandbox is 3 feet tall, and 10 feet wide, what is the length of the sand box?
Answer:
We are given that the total volume of the sandbox is 330 cubic feet.
We are given the side measurements of 3 feet tall and 10 feet wide.
3 x 10 = 30 sq2
V(volume)= 330 ft3
330 ft3 divided by 30 sq2 = 11ft
In conclusion, the length of the box would be:
= 11 ft
Step-by-step explanation:
Have a great rest of your day
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How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show your work and explain your results in writing.
Answer:
well, you didnt give me any numbers or variables, so ill do it like this. if the container is the size of a pint, and there are 8 runners, and a pint equals 16 fluid ounces, in turn it should end as that each runner gets 2 fluid ounces of energy drink
Step-by-step explanation:
Can you help me solve this!
Hello!
surface area
= 2(6*2) + 2(4*2) + 4*6
= 2*12 + 2*8 + 24
= 24 + 16 + 24
= 64 square inches
The volume of this rectangular prism is 12 cubic feet. What is the surface area?
The surface area is 31.45 square feet if the rectangular prism is a cube
What is the surface area?From the question, we have the following parameters that can be used in our computation:
The volume of a rectangular prism is 12 cubic feet.
Assuming that the rectangular prism is a cube, then we have the following
side length, l = ∛12
The surface area is then calculated as
A = 6l²
So, we have
A = 6 * (∛12)²
Evaluate
A = 31.45
Hence, the surface area is 31.45 square feet
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Suppose you walk at the rate of 210 ft/min. You need to walk 10,000 ft.
How many more minutes will it take you to finish if you have already walked 550 ft?
Answer:
Step-by-step explanation:
210x550=115500
115,500 divide 10,000=11.55?
Which of the following results in the expression 0.22 x 86?
22 of 86%
22% of 86
86% of 0.22
0.86 of 22%
oH saVe mE sisTerS
Answer:
22% of 86
Step-by-step explanation:
22% = 0.22
0.22 × 86
Solve.
y=3x – 4
9x – 3y = 14
Use the substitution method.
O The solution is (12, 14).
O The solution is (14, 12)
O There is no solution.
O There are an infinite number of solutions.
please please please hurry i really need help
Answer:
The answer is 12,14
Step-by-step explanation:
hope this helps
Dad is getting food ready for my birthday party! Including me, there will be 16 people at the party. Dad is baking cookies for us! He can bake 20 cookies per batch.
How many batches should I tell Dad to make so we can each have 3 cookies?
Answer:
he has to cook 3 batches of cookies
help me solve this pleaseeee
Answer:
f(n) = 6n + 12
Step-by-step explanation:
There is a common difference in consecutive number of seats, that is
42 - 36 = 36 - 30 = 30 - 24 = 24 - 18 = 6
This indicates the sequence is arithmetic with nth term
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 18 and d = 6 , then
f(n) = 18 + 6(n - 1) = 18 + 6n - 6 = 6n + 12
Decide whether is true or false.
2/11 < 5/22
=======================================
Explanation:
For now, assume the inequality is true
We can cross multiply to get
2/11 < 5/22
2*22 < 11*5
44 < 55
Since the last inequality is true (44 is smaller than 55), this means the first inequality is also true.
------------
We could use a calculator to see that
2/11 = 0.1818 approximately
5/22 = 0.2273 approximately
Since 0.1818 is smaller than 0.2273, this means 2/11 is smaller than 5/22.
In other words, 0.1818 < 0.2273 leads to 2/11 < 5/22
------------
An alternative is to multiply 2/11 by 2/2 to get 4/22
So 2/11 < 5/22 would update to 4/22 < 5/22. Both have the same denominator so we just compare the numerators. Because 4 < 5 is true, this makes 4/22 < 5/22 true, and consequently 2/11 < 5/22 true as well.
A medication order states, normal saline (ns) iv to infuse at 125 ml/hr. How many ml will infuse in 8 hours? (record answer as a whole number. Do not use a trailing zero. )
The amount of medicine infused in 8 hours is 1000ml.
According to the statement
we have given that the medicine normal saline (ns) iv to infuse at 125 ml/hr.
and we have to find the total amount of medicine infuse in the 8 hours in the whole number value.
So,
An infusion is the creation of a new substance by steeping another substance in a liquid, usually water
we have given a rate of infusion of medicine per hour which is 125 ml/hr.
And
Amount of medicine infuse in 1 hour is 125 ml
And the Amount of medicine infuse in 8 hours = 125*8
Amount of medicine infuse in 8 hours = 1000 ml.
So, The amount of medicine infused in 8 hours is 1000ml.
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shown.
Definition of angle bisector
Answer:
is the line or line segment that divides the angle into two equal parts
Step-by-step explanation:
Write an equation in slope-intercept form with a slope of 7 and a y-intercept of - 3.
Answer:
y = 7x - 3
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = 7x - 3
92. David receives a coupon to take 25% off a
shirt's list price, if he buys the shirt online.
At the mall, the same shirt sells for 80% of
its list price. David is a store club member,
so he receives 5% off the discounted in-store
price. How much more does David save by
buying the shirt online with the coupon than
in-store, in terms of percent of the shirt's list
price?
F. 0%
G. 1%
H. 1.75%
J. 2%
K. David would save more buying in-store.
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
If David buys the shirt online:
\(\hookrightarrow \text{he gets a 25 percent discount of the list price}\)
\(\hookrightarrow \text{he pays for 75 percent of list price}\)
If David buys the shirt in-store:
\(\hookrightarrow \text {he pays for 80 percent of the list price}\)
\(\hookrightarrow \text{he gets a 5 percent discount of the store's price}\)
\(\hookrightarrow \text{he pays 95 percent of the store price}\)
\(\hookrightarrow \text{he pays '0.95 * 80' = 76 percent of the price}\)
Thus David saves 1% if he buys the shirt online as compared to if he buys the shirt in-store.
Answer: (G) or 1%
Hope that helps!
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En qué países hispanohablantes se comen muchos frijoles?
From the video capitulo 8
10 POINTS!! Need it now
Answer:
Cuba, Venezuela, Colombia, Mexico
How can you tell whether a parabola is concave up (happy face) or concave down (sad face) by looking at the vertex form equation 
A certain traffic light is red for 20 seconds, yellow for 4 seconds, and green for 36 seconds. Find that probability that of the next 12 cars that randomly arrive at the light, exactly 4 will be stopped by a red light.
i dont know if what i wrote was right but someone help
Answer:
x = 12/7
Step-by-step explanation:
You put: What you should have had is:
13x - 3y = 12 13x - 3y = 12
- x + 3y = 12 + x + 3y = 12
Now that we have that, we can do
14x = 24
Than, divide 24 by 14
x = 24/14
which we can simplify by dividing both by 2
x = 12/7
We can't simplify it down anymore, so this is our answer.