Answers
Answer:
200 units³
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
V = lwh
where l is the length, w is the width, and h is the height
Substitute with the given values:
V = lwh
V = (10)(4)(5)
Multiply:
V = (10)(4)(5)
V = (40)(5)
V = 200
Therefore, the volume of the rectangular prism is 200 cubic units.
Related Questions
What numbers would make 4a ≤ 16 true?
Answers
Answer: a ≤ 4 or (-∞, 4]
Step-by-step explanation:
Here we have the inequality:
4a ≤ 16
this means that the left sides is less or equal than the right side.
First, find the equal part:
4*a = 16
a = 16/4 = 4
So the maximum possible value of a is 4.
Now, all the values of a smaller than 4 also make the inequality true (even the negative values) so the possible values of a are:
a ≤ 4 or (-∞, 4]
Answer:
Any number that is less or equal to 4 makes this inequality true.
Step-by-step explanation:
In order to calculate the numbers that make this inequality valid, we need to solve it for "a". This can be done in the same manner as we would solve an equation, although we must pay attention to the inequality. This is done below:
[tex]4*a \leq 16\\a \leq 16/4\\a \leq 4[/tex]
Any number that is less or equal to 4 makes this inequality true.
x - x equals ?............
Answers
Answer:
0
Step-by-step explanation:
if x stade for any number like 5 then it will be 5-5=0
hope this helps you out need more help ask me
The quadratic equation x^2−8x+16=0 can be rewritten as (x−4)(x−4)=0.
What is the multiplicity of the root x=4?
The multiplicity of the root is 4.
The multiplicity of the root is 2.
The multiplicity of the root is 1.
The multiplicity of the root is 3.
Answers
Answer:
The multiplicity of the root is 2Step-by-step explanation:
Multiplicity of a number is the number of times the factor of a given function appears in the factor form of such given equation. For us to know the multiplicity of the root of the function, first we must know its root.
Factorizing the given quadratic function x²−8x+16=0
[tex]x^{2} -4x-4x+16 = 0\\x(x-4)-4(x-4)=0\\(x-4)(x-4) = 0\\x-4 = 0 and x-4 = 0\\x = 4\ twice[/tex]
Since the root of the function which is 4 appears twice then the multiplicity of the root is 2
please help 50 points and brainliest!!!!!!!!
Answers
Answer:
To do this you need to fill in the equation: 1/2 height*sidelength *width. So, height = 8 ft, side length = 4 ft, and width = 24 ft. So, plugging in the numbers you get:
1/2(8) * 4 * 24 =
4*4*24 = 384 ft
Step-by-step explanation:
Answer:
345 ft^3
Step-by-step explanation:
B=1/2(5)(6)=15
V=15(23)=345
A bag contains yellow marbles and blue marbles, 23 in total. The number of yellow marbles is 7 less than 2 times the number of blue marbles. How many yellow marbles are there? Please help its due really soon!
Answers
Answer:
b=10, a=13
Step-by-step explanation:
let s number of yellow = a
number of blue = b
we have
a+b =23
2b - a = 7
->a+b +2b -a = 23+7
-> 3b = 30
->b = 10
->a = 13
2 mil 20 yd = ____ yd
Answers
Answer:
3540
Step-by-step explanation:
There are 3520 yards in two miles and 1760 in one mile you multiply 1760 by 2 then add 20
Evaluate sin^2Θ, for Θ=45°
Answers
Answer:
sin^2(45) = (√2/2)^2 = 1/2
Step-by-step explanation:
sin2x = sin2 * x = 0.909x
sin(2(45)) = sin90 = 1
Hope this helps.
Answer:
The answer to this is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
I did the assignment, hope it helps! :)
What is the solution set to the equation x^2=-1
Answers
Answer:
Step-by-step explanation:
For example, if your money earns an 8 percent interest rate, it will triple in 14 years and 5 months (115 divided by 8 equals 14.4). If your money earns a 5 percent interest rate, it will triple in 23 years (115 divided by 5 equals 23).
The exterior angle of a regular polygon is 30°. What is the measure of an interior angle of the polygon.
B. How many sides does this polygon have.
C. What is the sum of all the interior angels.
This is all the same polygon.
Answers
Answer:
A) Measure of an interior angle of polygon = 150°
B) No of sides = 12
C) Sum of all interior angles = 1800°
Step-by-step explanation:
Measure of interior angle of polygon = 180°- measure of exterior angle of polygon
= 180°-30°
= 150°
B.
[tex]No.\: of \: sides = \frac{360\degree}{30\degree} = 12\\\\C.\\Sum\:of\: all \:interior\: angles \\= (n-2)\times 180\degree\\= (12-2) \times 180\degree\\= 10\times 180\degree\\= 1800\degree[/tex]
Given find M for MON
Answers
Answer:
∠ MON = 15°
Step-by-step explanation:
∠ LOM + ∠ MON = ∠ LON, substitute values
9x + 44 + 6x + 3 = 77, that is
15x + 47 = 77 ( subtract 47 from both sides )
15x = 30 ( divide both sides by 15 )
x = 2
Thus
∠ MON = 6x + 3 = 6(2) + 3 = 12 + 3 = 15°
Which expression can be used to convert 22 Australian dollars to US dollars
Answers
Answer: 22 AUD x 1.2USD / 1AUD
Step-by-step explanation: The expression would be like this: 22 Australian dollars/1.2 (value of Australian dollars to US dollars) = X US dollars/1 We would get the value of x by multiplying 1 to 22 then divide it by 1.2 and we would get the US conversion from it. We could also put the expression 22=1.2x directly and we would get the US conversion from it.
Ms. Donaldson earns $19.20 per hour for the first 40 hours she works in a week. She earns 1 1/2 times that amount per hour for each hour she works beyond 40 hours in a week. Last week Ms. Donaldson worked 45.5 hours. a) How much money did she earn last week? b) A health insurance payment of $34.75 was deducted from Ms. Donaldson's earnings for the week. After the insurance deduction, payroll taxes equal to 32% of the balance were deducted. What was the amount that Ms. Donaldson received?
Answers
Answer:
a) $926.40
b) $606.32
Step-by-step explanation:
a)
If she worked a total of 45.5 hours, she will receive $19.20 per hour in the first 40 hours and 1.5 * $19.20 for the exceeding 5.5 hours, so her earnings is:
19.2 * 40 + 1.5 * 5.5 * 19.2 = $926.40
b)
The deduction is $34.75, so the remaining will be:
926.40 - 34.75 = $891.65
Then, after this deduction, the taxes is 32% of the remaining, so:
891.65 - 0.32 * 891.65 = $606.32
She received $606.32
Please help me ASAP and I have more so PLEASE
Answers
The answer is B part
As the requirement for the student is either a senior or one who studies maths or both.
So, just add the values within the two venn circles divide it by total no of values.
=> 240+40+110/240+40+110+840
=> 360/1200
Answer:
B
Step-by-step explanation:
840 people aren't senior or don't takes math.
210 + 40 = 250 are seniors
110 + 40 = 150 people take math
In this class has 840 + 210 + 40 + 110 = 1200 people => All
210 + 40 + 110 = 360 people are seniors or take math. => P( S U M)
Probabilty that a randomly selected student is a senior or takes math =>[tex]\frac{P(S U M)}{All}[/tex]
[tex]\frac{P(S U M)}{All} = \frac{360}{1200}[/tex]
Hope this helps ^-^
I’m just confused on how to find the equation with the quadratic function given.
Answers
option b is the correct answer
Write the composite number for each prime factorization. You may wish to use a calculator.
5) 22 x 3 x 52
6) 2x32x7
7) 33 x 5
8) 2 x 53
Answers
Only one of those is actually a prime factorization. Demand better from your teacher. Anyway, I think they're just asking us to take out the calculator and enter the multiplication into it.
5) 22 isn't prime, neither is 52. Answer: 3432
6) 32 isn't prime. Answer: 448
7) 33 isn't prime. Answer: 165
8) Finally a real prime factorization. Answer: 106
Write this number in scientific notation.
0.0000071=
Answers
Answer:
7,1 × 10-⁶
Step-by-step explanation:
Once you move the comma 1 time by right (,) you have -1, so by moving it six times, you have 7,1 × 10-⁶
How do I do Radicals?
Answers
Answer:
For online calculators you can type sqrt() or just sqrt and it will do it for you
Answer:
See belowStep-by-step explanation:
To simplify radicals that are not perfect squares, we need a new method.
Example: [tex]\sqrt{27}[/tex]
27 is not a perfect square square the square root cannot be used.
[tex]\sqrt{27} = 5.19615242271[/tex]
To solve this, we need to break down the radical into simpler parts.
[tex]\sqrt{27} = \sqrt{3} * \sqrt{9}[/tex]
[tex]\sqrt{9} = 3[/tex]
[tex]\sqrt{3}[/tex] cannot be simplified
[tex]\sqrt{27}[/tex] = 3[tex]\sqrt{3}[/tex]
Good luck on your test!
I'm always happy to help :)
How do you simplify [tex]\frac{\sqrt{2} +\sqrt{6} }{\sqrt{8} + \sqrt{6} }[/tex]?
Answers
The trick is to exploit the difference of squares formula,
[tex]a^2-b^2=(a-b)(a+b)[/tex]
Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:
[tex](\sqrt8+\sqrt6)(\sqrt8-\sqrt6)=(\sqrt8)^2-(\sqrt6)^2=8-6=2[/tex]
Whatever you do to the denominator, you have to do to the numerator too. So
[tex]\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}{(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}2[/tex]
Expand the numerator:
[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{2\cdot8}+\sqrt{6\cdot8}-\sqrt{2\cdot6}-(\sqrt6)^2[/tex]
[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{16}+\sqrt{48}-\sqrt{12}-6[/tex]
[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=4+\sqrt{48}-\sqrt{12}-6[/tex]
[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(\sqrt4-1)[/tex]
[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(2-1)[/tex]
[tex](\sqrt2+\sqrt6)(\sqrt8-\sqrt6}=-2-\sqrt{12}[/tex]
So we have
[tex]\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+\sqrt{12}}2[/tex]
But √12 = √(3•4) = 2√3, so
[tex]\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+2\sqrt3}2=\boxed{-1-\sqrt3}[/tex]
I need help with this question please.
Answers
Answer:
work is shown and pictured
What value of z makes the following equation true?
−3z+3=35
Answers
Answer:
-10 2/3Step-by-step explanation:
Given
−3z+3=35Solving for z:
-3z = 35 - 3-3z = 32z = 32/-3z = -10 2/3how are u supposed to find the area only with the circumference?
Answers
Answer:
We can find the radius from circumference and then area
Circumference(C) = 2πr
r = C/2π
r = 20/2π
r = 10/π
Area = πr²
Area = π × 10/π × 10/π
Area = 100/π
Area = 100/3.14
Area = 10000/314 = 31.84 cm² (approx)
Area = 32 cm² (Rounding to nearest whole number)
Answer:
32 m²
Step-by-step explanation:
We need to work out the area of the flower garden when we are given the circumference. First we need to know the formula's for area of circle and circumference of circle which are
→ Area of a circle = π × r² where 'r' is the radius
→ Circumference of a circle = 2 × π × r where 'r' is the radius
So we need to form an equation with the circumference of a circle formula and work out the radius in order to find the area so,
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
2 × π × r = 20
→ Substitute 3.14 for π
2 × 3.14 × r = 20
→ Simplify
6.28 × r = 20
→ Divide both sides by 6.28 to isolate 'r'
r = 3.18471338
So now we now the radius of the circle we can substitute the radius into the area of circle formula
Area = π × r²
→ Substitute 3.14 for π and r for 3.18471338
Area = 3.14 × 3.18471338²
Area = 31.847133842
To the nearest whole number your answer is 32 m²
PLEASE HELP!!
Which of the following is statements is TRUE about the figure.
A. △ABC~ △DFE by AA Similarity Theorem
B. △ABC~ △DFE by ASA Similarity Theorem
C. △ABC~ △DFE by SSS Similarity Theorem
D. △ABC~ △DFE by SAS Similarity Theorem
E. There is not enough information provided
Answers
Answer:C
Step-by-step explanation:There is definitely enough info.
And there are no angles so it has to be SSS~ (It's dilated by 1.5 by the way)
Given that events A and B are independent with P(A)=0.24P(A)=0.24 and P(B|A)=0.85P(B∣A)=0.85, determine the value of P(B)P(B), rounding to the nearest thousandth, if necessary.
Answers
Answer:
P(B) = 0.85
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
[tex]P(A) = 0.24, P(B|A) = 0.85[/tex]
These events are independent.
This means that [tex]P(A \cap B) = P(A)*P(B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(B|A) = \frac{P(A)*P(B)}{P(A)}[/tex]
[tex]P(B|A) = P(B)[/tex]
So
[tex]P(B) = 0.85[/tex]
The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive. Which function best models the data?
A) y = 9,958(0.972)^x
B) y = 0.972(9,958)^x
C) y = 9,219x– 150
D) y = –150x + 9,219
Answers
Answer:a
Step-by-step explanation:
Answer:
It is A, y = 9,958(0.972)x
Step-by-step explanation:
Solve for b.
-3b = 9 - 4b
B=
Answers
Answer:
b=9
Step-by-step explanation:
move the 4b over to the other side by adding it to both sides
[tex]-3b(+4b)=9-4b(+4b)[/tex]
[tex]1b=9[/tex]
which of the binomials below is a factor of this trinomial? x^2+6x-40
Answers
Answer:
C
Step-by-step explanation:
(x-4)(x+10)=x^2+6x-40
Answer:
C. X-4
Step-by-step explanation:
A P E X
If 5 adult movie tickets cost $25, how much do 11 tickets cost?
Answers
Answer:
$55
Step-by-step explanation:
5 tickets = $25
1 ticket = $5 (divide by 5 on both sides)
multiply by 11
11 tickets = 5 ×11
11 tickets = $55
Rewrite the following equation in logarithmic form.
0.25 = 2^-2
Rewrite the following equation in exponential form.
log8 (512) = 3
Answers
Answer:
log2(0.25) = -2
512 = 8^3
Step-by-step explanation:
Use of formula: loga (b) = c ⇔ b = a^cRewrite the following equation in logarithmic form. 0.25 = 2^-2
log2(0.25) = -2Rewrite the following equation in exponential form. log8 (512) = 3
512 = 8^3What is the probability that I will choose a cat owner and a bird owner. Please help. Thanks
Answers
Answer:
The probability is 1/36.
Step-by-step explanation:
2/3 are dog owners
1/6 are cat owners
1/6 are bird owners
If you choose two owners, there is a 1/6 chance that you will choose a cat owner and a 1/6 chance you will choose a bird owner. Each of these are independent, so you simply multiply 1/6 by 1/6.
1/6 * 1/6= 1/36
correct expression equivalent to 9-(3-6x)
Answers
Answer:
6 + 6x
Step-by-step explanation:
9 - (3-6x) = 9 - 3 - (-6x)
= (9-3) +6x
= 6 + 6x
1) expand the bracket
2) group like terms together
3) simplify to form expression