Given:
Length of the rectangular prism = 13 units.
Width of the rectangular prism = 6 units.
Height of the rectangular prism = 4 units.
To find:
The volume of the rectangular prism.
Solution:
We know that the volume of the rectangular prism is:
[tex]V=l\times b\times h[/tex]
Where, l is length, b is breadth or width and h is the height of the rectangular prism.
Putting [tex]l=13,b=6,h=4[/tex] in the above formula, we get
[tex]V=13\times 6\times 4[/tex]
[tex]V=312[/tex]
Therefore, the volume of the given rectangular prism is 312 cubic units.
A photocopy machine can copy 42 pages every two minutes. How many pages can it
photocopy in 5 minutes?
Answer choices
4.2
420
105
21
Answer:
C. 105Step-by-step explanation:
2 min → 42 pages5 min → xCross-multiply and solve for x:
x = 5*42/2x = 105 pagesCorrect choice is C
ANSWER......................
-2x+8x 4>−8
Answer:
x= 3/2 after u like simplify
Step-by-step explanation:
1 Add 44 to both sides.
8x=8+4
8x=8+4
2 Simplify 8+48+4 to 1212.
8x=12
8x=12
3 Divide both sides by 88.
x=\frac{12}{8}
x=
8
12
4 Simplify \frac{12}{8}
8
12
to \frac{3}{2}
2
3
.
x=\frac{3}{2}
x=
2
3
What is the length of the diagonal?
18 cm
9 cm
What is the probability of choosing a 6 of clubs that's also a red card from a deck of cards? Type your answer as a fraction.
Answer: [tex]\dfrac{1}{52}[/tex]
Step-by-step explanation:
Given
We need to choose 6 of clubs that's also a red
A deck contains 13 cards of clubs, and 6 of clubs is the only red card i.e. favorable outcome is 1 out of 52 cards
Probability is the ratio of favorable to the total outcomes
[tex]\Rightarrow P=\dfrac{1}{52}[/tex]
SOMEONE HELP ME WITH THISS
Answer:
/_ 12 is the angle of depression from the firefighter to the second story window.
Step-by-step explanation:
Hope it helps!
#CarryOnLearning
Answer:
2nd option is the correct answer
Step-by-step explanation:
[tex] \angle 12[/tex] is the angle of depression from the second story window to the firefighter.
Which function represents a quantity growing exponentially?
A y = 2(0.5)
В y = 0.5(2)
C y = 2(0.5)2X
D y = 6)
Answer: c
Step-by-step explanation:
i need help please it's due today
Step-by-step explanation:
work is on the paper for you, somthing that might help you with your future with math is PEMDAS always do exponents first when it's an equation like your first, second, and third question. I hope this helped.
Mark and eight of his friends went out to
eat. They decided to split the bill evenly.
Each person paid $9. What was the total
bill?
its de in 20 min help me pls and thank you
perimeter and area of a rectangular figure has a perimeter of 34cm its length is 9cm
Answer:
Perimeter of rectangle = 32
Step-by-step explanation:
32 = 2(L+B)
L+B=16
B=16-L
B=16–9
B=7
AREA = L*B
AREA = 63sq.cm
(d) Work out
1
4 of 28 kg.
Step-by-step explanation:
[tex]here \: is \: your \: soution \\ \\ (1 \div 4) \times 28 \\ \\ 28 \div 4 = 7 \\ \\ 7 \: is \: your \: answer \\ \\ hope \: it \: help[/tex]
Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long.
If Roger is 4.5 feet tall, what is the height of the tree?
O A. 12 ft
OB. 16.5 ft
O C. 19.5 ft
OD. 27 ft
Answer:
the answer should be 27 ft
sorry if I'm wrong
The height of the tree will be 27 ft. The correct option is D.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long. If Roger is 4.5 feet tall.
The height of the tree will be calculated as,
Height = ( 18 x 4.5 ) / 3
Height = 6 x 4.5
Height = 27 ft
Hence, the height will be 27 ft.
To know more about trigonometry follow
https://brainly.com/question/28908520
#SPJ2
Select all that are equal to 3. log28 log416 log327 log101,000
Answers on edg. are:
log2 8
log3 27
log10 1,000
Step-by-step explanation:
Yo just trust me ight
\frac{5}{2}\mathrm{g}-\frac{1}{2}\mathrm{g}= 2 5 g− 2 1 g simlily
Answer:
ok
Step-by-step explanation:
an oil company uses cylindrical storage tanks. each tank has a radius of 14ft and is 27ft fall. what is the volume of the tank?
Answer:
378
Step-by-step explanation:
Pleasssssssssssssssssssssssse help ASAP
Answer:
Yellow = 18 spools of ribbon
Blue = 15 spools of ribbon
Bobby will have 3 more spools of yellow ribbon.
Help help me please and tell me where to put the graph points please
Answer:
y=MX+B
Step-by-step explanation:
the 4 you will put it on the y axis and you'll go down 1 since it's negative and 5 times to the right since it's positive
Help with number 10! Step by step please!
9514 1404 393
Answer:
x = -9 (as you know)
Step-by-step explanation:
[tex]\log_6\dfrac{1}{6}=\dfrac{x}{9}\\\\\log_6{(6^{-1})}=\dfrac{x}{9}\\\\-1=\dfrac{x}{9}\\\\x=(-1)(9)=\boxed{-9}[/tex]
_____
I find it helpful to remember that a logarithm is an exponent.
[tex]\log_a(a^b)=b[/tex]
Select the best answer for the question.
7. There are 250 mL of D5W infusing at 33 gtt/
min on IV tubing calibrated at 10 gtt/mL. What is the
infusion time?
O A. 1 hour and 16 minutes
OB. 1.5 hours
O C. 1 hour
O D. 2 hours
Mark for review (Will be highlighted on the review page)
<< Previous Question
Next Question >>
FULL
non
Answer:
A. 1 hour and 16 minutes
Step-by-step explanation:
There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL. Calculate the infusion time.
select "No IV pump"
volume = 250 mL
rate = 33 gtt/min
calibration = 10 gtt/mL
Actual formula:
250 /( 33 gtt/min
10x 60)= 1.26 Hours
0.26 x 60 = 16 minutes
So 1.26 Hours = 1 Hour & 16 minutes
hope this will help you
What is the area of a triangle with a base of 4.8 mm and a height of 3.7
mm? *
Answer:
8.88 square mm
Step-by-step explanation:
The formula for solving a triangle is base multiplied by height divided by 2 or 1/2(b)(h)
So by plugging in what you have, you'll get 1/2(4.8)(3.7) as your equation. 4.8(3.7) = 17.76 which simplifies your equation to 1/2(17.76) or 17.76/2.
17.76/2 = 8.88
So, the area of the triangle is 8.88 square millimeters.
what’s the slope ? please help , due in 20 min.
Answer:
-7/3
Step-by-step explanation:
You take two ( X,Y) points and subtract them to find the slope of the line.
23-16/-6-(-3) = -7/3
1.) Solve the following systems of equations graphically. The solution is y=x+3 y= -x-5
key ans lang yan sana makatulong HAHAHA
What linear expression would you add to -4y+2 to have a sum of y
Answer:
4
Step-by-step explanation:
a. Find three rational numbers between 1/4 and 0.25 repeating
b. Find three rational numbers between 1/3 and 0.34 repeating
By using the definition of rational numbers, we can get:
a) 0.2501, 0.2502, 0.2503b) 0.334, 0.335, 0.336How to find rational numbers?
Remember that a rational number is a number of the form:
N = a/b
Where a and b are integer numbers. Also, any number with a finite number of digits (or infinite repeating) after the decimal point is a rational point.
a) First, we want to find 3 rational numbers between 1/4 and 0.252525...
We can rewrite:
1/4 = 0.25
Then we want to find 3 rationals between 0.25 and 0.2525...
For example, 0.2501 meets this requirement, is larger than 0.25 and smaller than 0.2525...
Another two examples will be 0.2502 and 0.2503
b) Now we have 1/3 = 0.333... and 0.3434...
3 rational numbers between these two are:
0.333... < 0.334 < 0.3434...
0.333... < 0.335 < 0.3434...
0.333... < 0.336 < 0.3434...
If you want to learn more about rational numbers, you can read:
https://brainly.com/question/12088221
PLEASE HELP PLEASE
A girls' choir is choosing a uniform for their concert. They can pick red, green or
purple sweaters, and they can pick tan, white or black skirts. The shoes they need
come in gold and black. Assuming all combinations are acceptable, how many
different combinations can the choir pick?
Answer:
18
Step-by-step explanation:
=============================================================
Explanation:
There are 3 colors to pick for the sweaters (red, green, purple).There are 3 colors for the skirts (tan, white, black)There are 2 colors for the shoes (gold, black)Multiply out those values mentioned to get the final answer: 3*3*2 = 9*2 = 18.
There are 18 different outfit combos.
---------------
Further explanation (optional section):
Let's say we only worried about the sweaters and shoes, and for now there's only one color for the skirt. We have 3 colors for the sweaters and 2 for the shoes. Imagine a table with 3 rows and 2 columns. Each row is a different color for the sweater and each column is a different color for the shoe. There are 3*2 = 6 cells inside the table. Each cell is a different outfit.
For instance, we could have R = red sweater and G = gold shoe. Then that means RG = red sweater + gold shoe outfit. So we'd have RG as one of the cells of this 6 cell table.
Now imagine that we laid out a table that is 6 by 3. The 6 is from the 6 outfits calculated earlier, and the 3 is now accounting for the colors of the skirts. We'd then have 6*3 = 18 combos total. Again, each cell inside the table represents a different outfit combo.
Of 220 seventh-grade students, 25% earn the Community Service Award. How many students earn the award?
Answer:
55 students
Step-by-step explanation:
all you do is 220*.25 and you get the answer
It has been reported that 8.7% of U.S. households do not own a vehicle, with 33.1% owning 1 vehicle, 38.1% owning 2 vehicles, and 20.1% owning 3 or more vehicles. The data for a random sample of 100 households in a resort community are summarized in the frequency distribution below. At the 0.05 level of significance, can we reject the possibility that the vehicle-ownership distribution in this community differs from that of the nation as a whole?
Number of Vehicles Owned Number of Households 0 20 1 35 2 23 3 or more 22 =100
Answer:
Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )
Therefore, we reject H₀ at 0.05 level of significance.
Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household
Step-by-step explanation:
Given the data in the question;
Number of vehicle owned Number of households
0 20
1 35
2 23
3 or more 22
Total ( n ) 100
so
Null hypothesis H₀ : In this community, vehicle ownership distribution is like that of all U.S household
Alternative hypothesis Hₐ : In this community, vehicle ownership distribution is NOT like that of all U.S household
Also given that, ∝ = 0.05
Now, we compute the test statistics;
x² = ∑[ ( O[tex]_i[/tex] - E[tex]_i[/tex] ) / E[tex]_i[/tex] ]
where E[tex]_i[/tex] is expected frequency and O[tex]_i[/tex] is observed frequency.
so we make our table for chi square test statistics
No. of O[tex]_i[/tex] P E[tex]_i[/tex] (O[tex]_i[/tex] - E[tex]_i[/tex])² (O[tex]_i[/tex] - E[tex]_i[/tex])²/E[tex]_i[/tex]
Vehicle (n×P)
owned
0 20 0.087 8.7 127.69 14.677
1 35 0.331 33.1 3.61 0.109
2 23 0.381 38.1 228.01 5.985
3 or more 22 0.201 20.1 3.61 0.180
Total 100 100 20.951
hence, x² = 20.951
Now, degree of freedom df = k - 1 = 4 - 1 = 3
From Chi-Square critical value table; ( right tailed test ) for ∝ = 0.05
[tex]x_{0.05, 3[/tex] = 7.815
Decision Rule
Reject H₀ if x² is greater than xₐ².
Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )
Therefore, we reject H₀ at 0.05 level of significance.
Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household
What type of correlation is shown in the graph?
Answer:
no correlation
Step-by-step explanation:
it shows no trend or a line thing
also i think your pic is upside down haha
How do we find the amount of change?
Step-by-step explanation:
Bigger -smaller
hope it is helpful to you
8. A box is filled with candies in different colors. We have 40 white candies, 24 green ones, 12
red ones, 24 yellow ones and 20 blue ones. If we have selected one candy from the box
without peeking into it, find the probability of getting a green or red candy.
Answer:
[tex]P(Green\ or\ Red) = 0.30[/tex]
Step-by-step explanation:
Given
[tex]White = 40[/tex]
[tex]Green = 24[/tex]
[tex]Red = 12[/tex]
[tex]Yellow = 24[/tex]
[tex]Blue = 20[/tex]
Required
[tex]P(Green\ or\ Red)[/tex]
The total numbe of candy is:
[tex]Total = 40 + 24 + 12 + 24 + 20[/tex]
[tex]Total = 120[/tex]
This probability is calculated as:
[tex]P(Green\ or\ Red) = P(Green) + P(Red)[/tex]
For each, we have:
[tex]P(Green\ or\ Red) = \frac{Green}{Total} + \frac{Red}{Total}[/tex]
Take LCM
[tex]P(Green\ or\ Red) = \frac{Green+Red}{Total}[/tex]
[tex]P(Green\ or\ Red) = \frac{24+12}{120}[/tex]
[tex]P(Green\ or\ Red) = \frac{36}{120}[/tex]
[tex]P(Green\ or\ Red) = 0.30[/tex]
