Answer: 672m³
Step-by-step explanation:
V= LxWXH
=14 * 8 * 6
=672
Answer:
672
Step-by-step explanation:
To find the volume of a rectangular prism, you multiply each side of the cube. This means that you will multiply any 2 factors such as 8x6 to get 48. Then you multiply 48 by 14, the last factor. 48x14=672 our is proven to be 672. Hope this helps you. Keep in mind it is almost like finding the area of a square but because it is 3D, you multiply 3 factors instead of 2 and the "area" is called volume.
Evaluate cos0 if sin0= sqrt(5)/3
a. 9/5
b. 2/3
c. 5/9
d. 3/2
Solution given:
[tex] \sin( \alpha ) = \frac{\sqrt{5} }{3}[/tex]
so
P=√5
h=3
b=[tex] \sqrt{3 {}^{2} - \sqrt{5} {}^{2} } [/tex]
b=2
so
[tex] \cos( \alpha ) = \frac{b}{h} = \frac{2}{3} [/tex]
Note
[tex] \alpha = 0[/tex]
b:⅔
Perpendicular=√5
Hypotenuse=3
Base
√(3)²-(√5)²√9-5√42CosØ
Base/Hypotenuse2/3when accessing your credit card ,information online you cannot
Answer:
C. make purchases
Step-by-step explanation:
took the test
Which value is an outlier in the data set shown below?
24, 26, 30, 28, 75, 25, 31
what is the additive inverse of the complex number 9-4i?
B on edg
-9+4i
Answer:
-9 + 4i
Step-by-step explanation:
The additive inverse ("opposite") of a complex number a + bi is -a - bi.
Just use the opposites of a and b.
Direct Variation
If y varies as the x² and y = 200 when x = 5, what is the value of y when x = -3?
A. -72
b. 120
c. 72
d. -120
Please select the best answer from the choices provided
Answer:
C. 72
Step-by-step explanation:
I calculated it logically
Can someone help me with question 1 and 2 please
Answer:
Didn't post the picture
Step-by-step explanation:
A container is 60% filled with oil. the container holds 1710 liters of oil. how many liters of lil are needed to fill the container to the top
Answer:
1140 liters.
Step-by-step explanation:
We need 40% to top it up.
60 % = 1710
1% = 1710 / 60
40% = (1710/60) * 40
= 1140 liters.
The heights of seasonal pine saplings are normally distributed with an unknown population mean and standard deviation. A random sample of 20 saplings is taken and results in a sample mean of 310 millimeters and sample standard deviation of 20 millimeters. (a) The EBM, margin of error, for a 98% confidence interval estimate for the population mean using the Student's t-distribution is 11.35. (b) Find a 98% confidence interval estimate for the population mean using the Student's t-distribution. Round the final answers to two decimal places.
Answer:
a) The margin of error for the interval is of 11.35.
b) The 98% confidence interval estimate for the population mean using the Student's t-distribution is between 298.65 and 321.35 millimeters.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.539
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.539\frac{20}{\sqrt{20}} = 11.35[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Thus, the margin of error for the interval is of 11.35.
The lower end of the interval is the sample mean subtracted by M. So it is 310 - 11.35 = 298.65 millimeters.
The upper end of the interval is the sample mean added to M. So it is 310 + 11.35 = 321.35 millimeters.
The 98% confidence interval estimate for the population mean using the Student's t-distribution is between 298.65 and 321.35 millimeters.
The question is ...(see the picture)
Thank you very much!!
Answer: [tex]3x^{-2.5}[/tex]
Step-by-step explanation:
Given
Expression is
[tex]\dfrac{12\sqrt{x}}{4x^3}[/tex]
Using exponent property [tex]x^a\cdot x^b=x^{a+b}[/tex]
Writing expression in the form of [tex]k\cdot x^n[/tex]
[tex]\Rightarrow \dfrac{12\sqrt{x}}{4x^3}=\dfrac{3\times 4}{4}\times \dfrac{x^{0.5}}{x^3}\\\\\Rightarrow \dfrac{3\times 4}{4}\times x^{0.5-3}\\\\\Rightarrow 3x^{-2.5}[/tex]
the circle shown has a diameter of 70 and a circumference of 219.91. Which of the following could be used to determine the value of 3.1 HELP
70 =
219.91 =
(That's what math.way told me)
Help me please I need to get a good grade on this
Answer: 1,000
Step-by-step explanation: if you multiply the 900 in 157,900 by a 1,000 you get the 900,000 in 901,532.
There are 3 liters of orange juice at the school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get. (enter answer as a fraction or a mixed number) Write a number sentence that represents the problem
Answer:
0.3 liters each student
Step-by-step explanation:
3 liters = 3.000 ml so 3.000(ml) : 10(students) =300 ml which is 0.3 liters
What is 5x(4+3.50+6+2.50)
Answer: the answer is 80
Step-by-step explanation: How i got this answer is i followed the PEMDAS order (parenthesis, exponent, multiplication, division, addition, subtraction)
So according to the order, i had to do the parenthesis first, (4+3.50+6+2.50)
(( what i did was i just broke the problems into 2 so it would be much more easier)) (4 + 3.50 = 7.5) and the next (6 + 2.50 = 8.5) Then you would add those numbers together (7.5 + 8.5 = 16)
We can see that we still have the 5 left over, so now all you gotta do is just multiply now. (16 x 5 = 80)
So the answer u r left off with is 80.
~hope this has helped you out, have a gr8 day/night my friend!~
Write the phrase as a numerical or algebraic expression: 7 more than 16n
Answer:
16n + 7
Step-by-step explanation:
Answer:
7 + 16n
Step-by-step explanation:
The use of more than indicates addition.
A dog is on a 5 ft leash staked to the ground. If he can rotate around the stake, forming a circle, what is the area of the grass he can cover? Use 3.14 for π.
Answer:
78.5 ft²
Step-by-step explanation:
In this situation, the dog's 5 ft leash is the radius of the circle that he forms.
So, the radius is 5.
Use the area formula, A = [tex]\pi[/tex]r². Plug in 5 as r, and 3.14 as [tex]\pi[/tex]
A = [tex]\pi[/tex]r²
A = (3.14)(5²)
A = (3.14)(25)
A = 78.5
So, the area of the grass he can cover is 78.5 ft²
kelly bought 3 movie tickets and spent $39.60. each ticket cost the same amount. which equation can be used to solve for p, the amount each ticket cost?
a. 3+p= 39.60
b. p-3= 39.60
c. 39.60=30
d. 39.60 = p/3
Answer:
It's D
Step-by-step explanation:
since kelly bought three tickets, you divide by three to find the cost of each individual ticket
in an examination for final student of a school 60 offered history, 50 economics and 48 literature, 30 Offered history and economics 16 Offered history and literature 22 offered economics and literature if 10 candidates offered all the three subject find
1: the number that offered history
2:the number that offered only economics
3:the number that offered only literature
4:how many candidates sat for the examination assuming that each candidate sat for at least one subject
Step-by-step explanation:
A 106 offered history to students
2/3 a minus 1/6 equals 1/3 what is a
Answer:
a = 3/4.
Step-by-step explanation:
2a/3 - 1/6 = 1/3
Multiply thru by the LCD 6:
4a - 1 = 2
4a = 3
a = 3/4.
help with this please :D
Answer:
120 degrees
Step-by-step explanation:
beacuse this is
sec0 = -[tex]\frac{13}{12}[/tex] and cot0 < 0, find exact values of tan0 and sin0.
Answer:
tan 0 = -2.4
sin 0 = 0.3846
Step-by-step explanation:
sec 0 = -13/12, and cot 0 < 0
the angle 0 is in quadrant II
sec 0 = -13/12 = cos 0 = -12/13 = x/r
=> y = √13²-12²=√169-144=√25=5
so,
tan 0 = y/x = -12/5 = -2.4
sin 0 = y/r = 5/13 = 0.3846
Answer:
Solution given;
Sec θ=-[tex]\frac{13}{12}[/tex]
cotθ< 0,
It lies in second quadrant.
where sin and cosec is positive.
Now
[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]
cosθ=[tex]\frac{12}{13}[/tex]
[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]
b=12
h=13
By using Pythagoras law
p=[tex] \sqrt{13²-12²}=5 [/tex]
Now
exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]
since it lies in II quadrant
tan θ=-[tex]\frac{5}{12}[/tex]
and
sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]
since it lies in II quadrant
sin θ=[tex]\frac{5}{13}[/tex]
The question is in the picture
Answer:
questions 2 answe is x+3less than equal to 13
The line passes through points (2,7) and (4,8)
Answer:
Explanation:
hope it will helps please heart my answer!
How can you check the sample space of a probability model?
Answer: The sample space S for a probability model is the set of all possible outcomes. For example, suppose there are 5 marbles in a bowl. One is red, one is blue, one is yellow, one is green, and one is purple.
Step-by-step explanation: Hope this helped :)
For every 2 apples there are 6 strawberries. For every 32 pieces of fruit, there would be ? Strawberries and ? Apples
Answer:
8 apples and 24 strawberries.
Step-by-step explanation:
2 + 6 = 8
32 ÷ 8 = 4
2 apples x 4 = 8 apples
6 strawberries x 4 = 24 strawberries
What are the features of the function f(x) = –2 (2)x + 4 graphed below?
Answer:
Plot each graph on the same coordinate system.
f(x)=−2
(2)x+4
Step-by-step explanation:
What is the domain of the function y=^3Vx?
Answer:
y=^3Vx is the domain function
What is formula for area of the base of a cylinder? A) Area = Pi/r. B) Area= Pi *r C) A= Pi* r ^. or. (r*r). D) A= diameter* radius
Answer:
The formula for the area of the base of a cylinder is π r²
Equation: -5 3/4- 3 1/2 Please help meh.
Answer:
[tex]-9\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]-5\frac{3}{4}-3\frac{1}{2}[/tex]
Step 1: Factor out the common term [tex]-1[/tex]
[tex]=-\left(5\frac{3}{4}+3\frac{1}{2}\right)[/tex]
Step 2: Add the whole numbers
[tex]5 + 3 = 8[/tex]
Step 3: Combine the fractions:
[tex]\frac{3}{4}+\frac{1}{2} = \frac{5}{4}\\\\=-\left(8+\frac{5}{4}\right)[/tex]
Step 4: Convert the improper fractions to mixed numbers
[tex]\frac{5}{4} = 1\frac{1}{4}\\\\=-\left(8+1\frac{1}{4}\right)[/tex]
Step 5: Add the numbers
[tex]8 + 1 =9 \\\\=-9\frac{1}{4}[/tex]
Therefore, the answer to the equation is [tex]-9\frac{1}{4}[/tex] in fraction, and decimal; [tex]9.25[/tex]
Choose the correct answers.
AUTOMOBILE LIABILITY BASIC INSURANCE PREMIUMS
Coverage Class 1A Class 10 Class 10 Class 2A Class 2B Class 3
Bodily Injury
(in $1,000's):
10/20
50/100
100/300
Property Damage
$5,000
$10.000
$25.000
317.80
383.60
407.50
365.40
440.70
480.90
413.40
497.80
530.92
587.00
709.30
751.88
.
761.00
917.90
976.96
428.40
517.60
549.70
61.00
67.00
73.20
69.40
76.20
84 80
79.80
87.80
96.80
113.40
124.80
136.00
163.80
180.00
196.00
THE
81.80
90.00
98 20
Class 1A: No male driver under 25 car not used for business and not driven to or from work
Class 1B: No male driver under 25: car not used for business and driven to work fewer than
ten miles away
Class 1C: No male driver under 25; car not used for business and driven to work at least ten
Class 2A: One or more male drivers under 25 who are married or are not owner(s) of the car.
Class 28: Unmarried male driver under 25 who is owner of the car.
Class 3: No male driver under 25 car used for business
Sue Jones is insured for bodily injury in the amount of 10/20. She is at fault in an accident in which Albert
Smith is injured. Also injured in the accident is a pedestrian, Sam Dickson. Albert's medical expenses
total $12,000, Sam's come to $8,000. How much will the insurance pay?
a. for Albert
b. for Sam
c. total
How does the graph of y = a(x – h)2 + k change if the value of h is doubled?
Answer:
Step-by-step explanation:
The new equation is y = a(x - 2h)^2 + k
= y = a(x - ( h + h))^2 + k so this is like f(x) ----> f(x + h) therefore:
The whole graph will translate h units to the right.