Answer:
v = 80 cubic units
Step-by-step explanation:
The formula for a rectangular prism is: v = lwh
l = length
w = width
h = height
v = 8 x 2 x 5
v = 16 x 5
v = 80
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
HELP PLEASE PLEASE PLEASE!!!! WILL GIVE BRAINLIEST
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Answer:
y ≈ 12.3
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember the relationship between trig functions and side of a right triangle. In particular, when the adjacent side and hypotenuse are involved, the desired relation is ...
Cos = Adjacent/Hypotenuse
cos(35°) = y/15
y = 15·cos(35°)
y ≈ 12.3
The temperature at the point (x, y, z) in space is given by T ( x, y, z) = x + yz. A fly is at the point (1, 2, 1). In what direction should he begin to fly to cool off as quickly as possible. Your answer should be a unit vector in the requested direction.
Answer:
[tex]u= -\frac{1}{\sqrt{6}} ,-\frac{1}{\sqrt{6}} ,-\frac{2}{\sqrt{6}}[/tex]
Step-by-step explanation:
From the question we are told that
Temperature is given [tex]T ( x, y, z) = x + yz.[/tex]\
A fly is at (1,2,1)
Generally the direction of fly is given by
[tex]\triangleT(x,y,z) =(1,z,y)\\[/tex]
[tex]v= \triangleT(1,2,1)\\v=(1,1,2)[/tex]
Mathematically solving for the vector direction
[tex]|v|=\sqrt{1^2+1^2+2^2}[/tex]
[tex]|v|=\sqrt{6}[/tex]
[tex]u=- \frac{v}{|v|}[/tex]
[tex]u= -\frac{1}{\sqrt{6}} ,-\frac{1}{\sqrt{6}} ,-\frac{2}{\sqrt{6}}[/tex]
Therefore this the direction which should be taken to cool down soonest
Nadeem has 160 bottle caps in his bottle cap collection. He has 32 times more bottle caps in his collection then Benson. How many bottle caps does Benson have in his collection
Answer:
Benson has 5,120 bottle caps.
Step-by-step explanation:
160x32
Protein and calorie information from five food labels for frozen meals are shown.
Total Calories
Grams of Protein
per Serving
If each gram of protein is 4 calories, which meals are 20% to 30% protein? Select all that apply.
Meal A
Meal B
Meal C
lMeal D
Meal E
Find the domain of the function f(t)=√t +3√t
Answer:
[tex]\mathrm{Domain\:of\:}\:4\sqrt{t}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:t\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
The graph is also attached below.
Step-by-step explanation:
Given the expression
[tex]f\left(t\right)=\sqrt{t}\:+3\sqrt{t}[/tex]
We know that the domain of a function is the set of inputs or argument values for which the function is real and defined.
We know that we can not have a negative value of 't' inside the radicals because if we put any negative number inside the radical expression, it would make the function undefined.
In other words, the value of t ≥ 0.
Therefore, the function domain is:
[tex]\mathrm{Domain\:of\:}\:4\sqrt{t}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:t\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
The graph is also attached below.
Henrik grew 3 times as many potatoes as Derek grew. Derek managed to grow 49 potatoes. Henrik already had 173 potatoes harvested from his other field. How many potatoes does Henrik have in all?
Answer: Henrik grew 147 more potatoes than Derek
Step-by-step explanation:
Which expression is equivalent to (1/2(cos(pi/5)+ i sin(pi/5)))^5
a. 1/32(cos(pi/5) + i sin (pi/5))
b. 1/32(cos(pi) + i sin (pi))
C. 1/10(cos(pi/5) + i sin (pi/5))
d. 1/10(cos(pi) + i sin (pi))
Answer:
B
Step-by-step explanation:
did the course
The equivalent complex expression of [tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5[/tex] is
[tex]\frac{1}{32} (cos(\pi)+i~sin(\pi))[/tex]
The correct answer is an option (b)
What is complex number?"The number of the form a + ib, where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"
What is De Moivre's theorem?"This theorem gives a formula for computing powers of complex numbers.
[tex](r(cos\theta+i~sin\theta))^n=r^n~(cos(n\theta)+i~sin(n\theta))[/tex] "
For given question,
We have been given a complex expression [tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5[/tex]
Using the DeMoivre's theorem,
[tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\\\\=(\frac{1}{2})^5~((cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5\\\\=\frac{1}{32} (cos(\frac{5\pi}{5} )+i~sin(\frac{5\pi}{5} )) )\\\\= \frac{1}{32} (cos(\pi)+i~sin(\pi))[/tex]
Therefore, the equivalent complex expression of [tex](\frac{1}{2}(cos(\frac{\pi}{5} )+i~sin(\frac{\pi}{5} )) )^5[/tex] is
[tex]\frac{1}{32} (cos(\pi)+i~sin(\pi))[/tex]
The correct answer is an option (b)
Learn more about the De Moivre's theorem here:
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Add the expression 4-2/3
Answer:
add the whole thing or just 4-2/3
Step-by-step explanation:
Cameron has 75% as many shirts as her brother how many shirts does your brother have if Cameron has nine shirts
-4(p + 1) = 2(8 --2p)
Step by step explanation please
Answer:
Step-by-step explanation:
I hope this helps !!
what is value of X on this triangle
Answer:
x = 11.4715
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 35°
Opposite Leg = x
Hypotenuse = 20
Step 2: Solve for x
Substitute [Sine]: sin35° = x/20Isolate x: 20sin35° = xRewrite: x = 20sin35°Evaluate: x = 11.4715If a bike travels 15m in 2 sec, what is its speed in km/h?
Answer:
27km/h
Step-by-step explanation:
Suppose you obtained a Spearman rs of 0.53 from a sample of 13 pairs of scores. For a two-tailed test, such a correlation coefficient is:_____
a. not statistically signficant
b. p <.001
c. p < .01
d. p < .05
Answer:
C: p < 0.01
Step-by-step explanation:
We are given;
Spearman rank Correlation Coefficient: rs = 0.53
sample size: n = 13 pairs
Now, from the table attached, tracing n = 13 and locating a corresponding value of rs = 0.53 which falls in between 0.484 and 0.56. Thus, we can see that p is greater than the nominal significance value of 0.05 but less than 0.01.
Thus, correct answer is p < 0.01
YALL PLZ HELP WILL GIVE THANKS+BRANLIEST AND I REALLY NEED HELP! the length of the box is 2 1/2m, it is 1 9/16 times its width. what is the height of the box if its volume is 12 3/4m3?
Answer:
3.19 m
Step-by-step explanation:
L = 2.5
W x 25/16 = 2.5
w = 2.5 x 16 / 25 = 1.6
LWH = V
H = V / LW = (12 3/4) / (2.5 x 1.6) = 3.19
Can sum kne s help I need it
Step-by-step explanation:
-17z - 12 + 15z = -12 - 2z
-2z - 12 = -2z - 12
-12 = -12
Since this statement is always true for all real values of z, there are infinitely many solutions.
Why is the ? in the proportion below equal to QR? Explain why.
A) SQ is the geometric mean between the hypotenuse and the closest adjacent segment of the hypotenuse.
B) SQ is the shortest leg and so is the geometric mean between the entire leg and the hypotenuse.
C) SQ is the hypotenuse and is opposite the angle S in the right triangle QSR.
D) SQ is the hypotenuse and thus the Hypotenuse Rule of Geometric Means applies.
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Answer:
A) SQ is the geometric mean between the hypotenuse and the closest adjacent segment of the hypotenuse.
Step-by-step explanation:
In this geometry, all of the right triangles are similar. That means corresponding sides have the same ratio (are proportional).
Here, SQ is the hypotenuse of ΔSQT and the short side of ΔRQS.
Those two triangles are similar, so we can write ...
(short side)/(hypotenuse) = QT/SQ = QS/RQ
In the above proportion, we have used the vertices in the same order they appear in the similarity statement (ΔSQT ~ ΔRQS). Of course, the names can have the vertices reversed:
QT/SQ = SQ/QR . . . . . QS = SQ, RQ = QR
__
When this is rewritten to solve for SQ, we get ...
SQ² = QR·QT
SQ = √(QR·QT) . . . . SQ (short side) is the geometric mean of the hypotenuse and the short segment.
Hamburger costs $1.49 for 1/2 pound. How much would the hamburger cost for a whole pound?
Answer:$2.98
Step-by-step explanation:
Question 1
Write a conjecture that describes the pattern in the sequence, and then use the conjecture to find the next term in the sequence.
2,8, 32, 128,...
100 words remaining
Answer:
T5 = 512
Step-by-step explanation:
Given the sequence
2,8, 32, 128,...
The sequence is a geometric progression
nth term of a geometric progression is expressed as:
Tn = ar^n-1
a is the first term = 2
n is the number of terms = 5 (next term is the 5th term)
r is the common ratio = 8/2 = 32/8 = 4
Substitute and get the fifth term
T5 = 2(4)^5-1
T5 = 2(4)^4
T5 = 2*256
T5 = 512
Hence the next term is 512
25/8 in decimal form
Answer:
3.125
Step-by-step explanation:
Answer:
25/8 in a decimal form is
Step-by-step explanation:
3.125
Ms Patel purchased some pliers, wrenches, and chisel sets for her shop. She bought twice as many pliers that cost $17.50 each as wrenches that cost $21.50 each. She bought 3 fewer chisel sets than pliers. How many of each tool did Ms Patel buy if she paid a total of $141 and the price of each chisel set is $28?
Ms Patel bought 4 pliers, 2 wrenches and 1 plier set.
Step-by-step explanation:First, make a ratio. For every 2 wrenches, she bought 4 pliers and 1 chisel set. This ratio would be written as (in pliers:wrenches:chisels)4:2:1
Then, multiply each of these numbers by their price, and add them together.PLIERS: 4 × 17.50 = $70
WRENCHES: 2 × 21.50 = $43
CHISEL SETS: 1 x 28 = $28
TOTAL = $70 + $43 + $28 = $141
As this adds up to $141, this shows that she bought 4 pliers, 2 wrenches and 1 chisel set.Mrs Patel purchased 2 wrenches, 4 pliers, and 1 chisel set for her shop.
I hoped this helped!
What is 1/5 ÷ 1/2 ? Explain or show your reasoning.
Answer:
The answer is 2/5.
Step-by-step explanation:
First, use the stay-switch-flip method. Keep 1/5 the same, switch the division sign into a multiplication sign, and flip the numerator and the denominator of 1/2 to get 1/5 x 2/1. Multiply the numerators. 1 x 2 = 2. Now, multiply the denominators. 5 x 1 = 5. Therefore, you're answer is 2/5.
Hope this helps! Please mark Brainliest.
Which ordered pair is a solution to the inequality 7x-3y>10?
it ain't possible.
unless Either X's value is given for u to get y.
All pairs such that x is > 4 and y = 6 are solutions.
It is given that ordered pair is a solution to the inequality 7x-3y>10.
What is inequality?
The definition of inequality is a difference in size, amount, quality, social position or other factor.
Now, characterize these solutions
if 7x - 3y > 10 then
7x > 10 +3y
Now we can substitute any value for y and get the appropriate value for x. For example I can choose y to be 6
then by substitution
7 must be > 10+ 3*6
or 7x must be > 28
or x must be > 4
So, all pairs such that x is > 4 and y = 6 are solutions.
Learn more details about inequality here:
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you get paid $8 an hour. you make $35 in tips. you make $167.00 in a week. how many hours did you work. write an equation to the problem.
Answer:
I belive the equation would be...
Step-by-step explanation:
8x+$35=$167.00
Hope it helps??
Answer
they worked 16.5 hours that week.
Step-by-step explanation:
You first subtract the tip by the total cost and that gives you $132.00. and from that cost you divide by $8 which they get paid by the hour... and then you get the 16.5 and that means they worked 16.5 hours that week.
Write 3/4 as a decimal number
Answer: 0.75. It's pretty obvious.
Answer:
0.75
Step-by-step explanation:
Find the length of the segment with endpoints A(4,12) and B(7,16) ?
PLEASE HELP DUE IN 5 MIN
At the school carnival, the sixth graders are making directional arrows, as shown below.
6 inches
10 inches
7 inches
4 inches
Each arrow is to be painted red. How much area needs to be painted for 1 arrow? (1 point)
- 1 13 and its opposite on a number line.
Answer:
-113 and 113
Step-by-step explanation:
I'm not sure exactly what you mean by -1 13, so I'll assume you mean -113.
It's opposite would be 113.
If what you mean is -1 1/3 then it would be -4/3
Hope I helped
Determine the equation of the line that passes through the given points (if you have a graphing calculator, you can us the table feature to confirm that the coordinates of both points satisfy your equation)
(-5, 10) and (5, -10)
a. y = 2x -10
b. y = 2x
c. y = -2× + 20
d. y = -2×
Answer:
d. y = -2×
Step-by-step explanation:
First to solve find the slope using the formula, [tex]\frac{10+10}{-5-5}[/tex]. The slope equals 20/-10 or -2. Then plug the slope and point, (-5,10), into slope-point form. y-10=-2(x+5), then solve for y. This gives you y=-2x+0 or y=-2x.
z=−24i−19
Re(z)=
Im(z)=
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Answer:
Re(z) = -19Im(z) = -24Step-by-step explanation:
There is some disagreement over whether the "imaginary part" includes the factor "i" or not. Here, we assume it is simply the coefficient of i.
Re(z) = -19 . . . . the part that does not have a factor of i
Im(z) = -24 . . . . the coefficient of i