Answer:
$4162.4
Step-by-step explanation:
As per the question statement,
The computer monitors are in cuboid structure.
Width of computer monitors = 22 inches
Length of computer monitors = 22 inches
Thickness of computer monitors = 2 inches
Average cost of production per cubic inch = $0.43
To find:
Cost to the company to make 10 monitors.
Solution:
Volume of a cuboid is given as following:
[tex]Volume = Length \times Width \times Height[/tex]
Volume of one computer monitor as per the given dimensions = [tex]22\times 22 \times 2[/tex] = 968 cubic inches
Volume of 10 such monitors = 968 [tex]\times[/tex] 10 = 9680 cubic inches
Cost of manufacturing of 1 cubic inch = $0.43
Cost of manufacturing of 9680 cubic inch = $0.43 [tex]\times[/tex] 9680 = $4162.4
Insert <,>,or = to make the following sentence true. square root of 17 and 4
we can insert > to make the following sentence true that is [tex]\sqrt{17}[/tex] > 4
we have to solve the following sentence
[tex]\sqrt{17}[/tex] --- 4 ( insert <,>, = to make the following sentence true)
what is square root ?
The square root of a number is the factor that we can multiply by itself to get that number. The symbol for square root is [tex]\sqrt{}[/tex] .
we know that
square root of 17 is 4.12310563
which is 4+ 0.12310563
that is if we add 4+0.12310563 we get 4.12310563
therefore square root of 17 is greater than 4
that is [tex]\sqrt{17}[/tex] > 4
since 4.12310563 > 4
hence, we can insert > to make the following sentence true that is [tex]\sqrt{17}[/tex] > 4
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The expression for the nth term of a sequence is 5n^2
work out the third term in this sequence
Answer:45
Step-by-step explanation:
5n²
5(3)²
5(9)
∴ The third term in the sequence 5n² is 45
A forest covers 61,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
2,440 acres of old-growth trees.
Step-by-step explanation:
61,000*0.04=2,440
There are 2,440 acres of old-growth trees.
Hope this helps!
Please mark as brainliest if correct!
AYUDA!! SE ME OLVIDO COMO RESOLVER GEOMETRÍA
P = 180 - (125 + 30)
P = 180 - 155
P = 25 degrees
Thus :
P = 25/180 n radian
P = 5/36 n
Which mean the first option is the correct answer.
find the solution to this equation:5(x-6)+8=7x-10
Answer:
x = -6
Step-by-step explanation:
Distribute where possible
5x - 30 + 8 = 7x - 10
Combine like terms
5x - 22 = 7x - 10
Subtract 7x from both sides and add 22 to both sides
-2x = 12
x = -6
Given the definitions of f(x) and g(x) below, find the value of (gof)(-2).
f(x) = -2x + 7
g(x) = x² - 6x + 5
The value of (gof)(-2) for the given values of f(x) and g(x) is 60.
A Composite function may be defined as a function which is formed from the operation of combination of two functions. If f(x) and g(x) are two functions, then the composite functions of the given functions are fog(x) that is f(g(x)) and gof(x) that is g(f(x)).
It is given in the question that f(x) = -2x + 7 and g(x) = x² - 6x + 5.
Now, gof(x) = g(f(x)) = (-2x + 7)² - 6(-2x + 7) + 5
gof(x) = 4x² + 49 - 28x + 12x - 42 + 5
gof(x) = 4x² - 16x + 12
gof(-2) = 4(-2)² - 16(-2) + 12
gof(-2) = 16 + 32 + 12
=>gof(-2) = 60
Therefore, the value of gof(-2) is equal to 60.
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25 points plus brainliest
Answer:
The first answer is correct
Step-by-step explanation:
y = mx + b is the slope intercept form of a line
15x - 5y = 30 Subtract 15x from both sides
-5y = -15x + 60 Divide both sides by -5
y = 3x -6 The -6 is your y-intercept. It is the point (0.-6) We could stop here because that is the only choice that shows (0,-6), but let's find the x intercept.
The x-intercept is when y = 0
y = 3x -6
0 = 3x - 6 Add 6 to both sides
6 = 3x Divide both side by 3
2 = x This is the point (2,0)
We could have taken the original equation and set x=0 and y=0
15x - 5y = 30
15(0) - 5y = 30
-5y = 30 Divide both sides by -5
y = -6
15x -5y = 30
15x - 5(0) = 30
15x = 30 Divide both sides by 15
x = 2
-
please help!! (answer is NOT undefined)
[tex]-8\sqrt{-165} \\ \\ =-8\sqrt{-1}\sqrt{165} \\ \\ =\boxed{-8i\sqrt{165}}[/tex]
what is the difference of - 3 - ( - 10)
Answer
(-3) - (-10) = 7
|7| = 7
7
Select all the expressions that are equivalent to –24 [tex]\frac{1}{2}[/tex] + 16.15 – 4.
The expressions that are equivalent to [tex]-24\frac{1}{2} +16.15-4[/tex] are (B)16.15 - 28.5 , (C)-28.5 + 16.15 and (E)[tex]12.15-24\frac{1}{2}[/tex] .
In the question,
the given expression is [tex]-24\frac{1}{2} +16.15-4[/tex] , solving further we get
= -49/2 + 16.15 - 4 ...(as [tex]24\frac{1}{2} = \frac{49}{2}[/tex] )
= -24.5 + 12.15
= -12.35
In option(A) we have ,
=[tex]24\frac{1}{2} -16.15+4[/tex]
= 49/2 -16.15 +4
= 24.5 -16.15 +4
= 8.35 + 4
= 12.35
In option(B) we have ,
= 16.15 - 28.5
= -12.35
In option(C) we have ,
= -28.5 + 16.15
= -12.35
In option(D) we have ,
[tex]=-20\frac{1}{2} +16.5[/tex]
= -41/2 + 16.5 ...( as [tex]20\frac{1}{2} = \frac{41}{2}[/tex] )
= -20.5 + 16.5
= -4
In option(E) we have ,
[tex]=12.15-24\frac{1}{2}[/tex]
= 12.15 - 49/2
= 12.15 - 24.5
= -12.35
As we can see that from all the option , only option(B), option(C) and option(E) matches with the given expression .
Therefore , The expressions that are equivalent to [tex]-24\frac{1}{2} +16.15-4[/tex] are (B)16.15 - 28.5 , (C)-28.5 + 16.15 and (E)[tex]12.15-24\frac{1}{2}[/tex] .
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the annual salaries of all employees at a financial company are normally distributed with a mean mu
The value of the Z - Score is a -1.5.
According to the statement
We have to find that the z-score of the company.
So, For this purpose, we know that the
A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
From the given information:
The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a standard deviation Sigma = $4,000.
Then
Let X = annual salaries of all employees at a financial company
And
The z score probability distribution for the normal distribution is given by:
Z - Score = Annual salary - mean / s.d.
Then substitute the values
Z - Score = 28,000 - 34,000/ 4000
Z -Score = -6/4
Z -Score = -1.5.
So, The value of the Z - Score is a -1.5.
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The net below shows the dimensions of a triangular pyramid with equilateral base.
What is the lateral surface area of this triangular pyramid?
The Lateral surface of the triangular pyramid = 6 cm²
How to Find the Lateral Surface of a Triangular Pyramid?The lateral surface of a triangular pyramid is the area of the three triangular surfaces of the triangular pyramid, which excludes the area of the base.
The area of each triangular face = area of triangle = 1/2(base)(height).
Given the following as shown in the diagram:
Height of the triangular face = 7.2 cm
Base length of the triangular face = 5 cm
Lateral surface of the triangular pyramid = 3(1/2 × base × height)
Plug in the values
Lateral surface of the triangular pyramid = 3(1/2 × 5 × 7.2)
Lateral surface of the triangular pyramid = 3(18)
Lateral surface of the triangular pyramid = 6 cm²
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Mrs. Genebe worked all year and earned $23,400. How much did she earn per week?
Answer:
$448.766754 per week or $448
Step-by-step explanation:
i gotchu
theres 52.1429 weeks
divide 23,400 by 52.1429
u get $448.766754 per week
write the algebraic expression for two less than for times a number
PLEASE SHOW WORK
donald is studying the buying habits of all women attending his store. he samples the population by dividing the women into groups by age and randomly selecting a proportionate number of women from each group. he then collects data from the sample. which type of sampling is used?
According to the statement Donald is using Stratified sampling to collects data from the sample.
The correct option is A.
Briefing:A simple random sample is then taken from each separate or subgroup using the stratified sampling survey method, which first divides the population being studied into distinct subgroups or groups known as strata.
The ability to reduce the sample size needed to obtain reliable results is one of the main benefits of stratified sampling.
What accomplishes stratified sampling?When attempting to evaluate data from various subgroups or strata, researchers frequently use stratified random sampling. They can quickly find a population sample that most accurately reflects the entire population they are studying.
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I understand that the question you are looking for is:
Donald is studying the eating habits of all students attending his school. He samples the population by dividing the students into groups by grade level and randomly selecting a proportionate number of students from each group. He then collects data from the sample. Which type of sampling is used?
a. Systematic sampling
b. Convenience sampling
c. Stratified sampling
d. Cluster sampling
Find the total amount given the original price and tax rate. Round to the nearest hundredth if necessary. Original price: $123.28 Tax rate: 7.5%
7.5% = 0.075
0.075 x 123.28 = 9.246
So, the tax will be $9.20.
Total cost would be $132.48.
The diagram represents two statements: p and q.
P
COD
A B
Which represents regions A, B, and C?
OpVq
Op-9
Ο g/p
O q-p
The regions is represented as :
A = p - p ∩ q , B = p ∩ q and C = q - p ∩ q
According to the question we have been given the Venn diagram with two regions p and q.
We need to find the representation of regions A, B and C.
As we can from the diagram,
region A is the area where the only p statement is there which exclude the B region . That is A is area of difference.
So it can be represented as
A = p - p ∩ q
region B is the intersection of p and q.
So it can be represented by
B = p ∩ q
region C is the area where only q statement is there and excludes the intersection region. That is C is area of difference
So it can be represented as
C = q - p ∩ q
Hence the regions is represented as
A = p - p ∩ q
B = p ∩ q
C = q - p ∩ q
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Another circular section of the island to be used to count marine iguanas has
a'radius of 1 kilometer. Researchers will sample this area to draw conclusions
about the iguana population on the entire island. What is the area of this
section? Use an approximation of n to two decimal places. Place your
approximation of the area in the orange chart below.
The area of the circular section is 3.14 square units
How to determine the area of the circular section?The given parameters are:
Radius, r = 1 kilometre
Rewrite the above properly as follows
So, we have
r = 1 kilometre
The area of the circular section is:
A = πr^2
So, we have
A = 3.14 * 1^2
Evaluate the exponent
So, we have
A = 3.14 * 1
Evaluate the product
So, we have
A = 3.14
Hence, the area of the circular section is 3.14 square units
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Find the distance between -55 and 63.
Answer:
The distance would be 118
Step-by-step explanation:
The easiest way I solve the distance between a negative number and a positive number is by adding the negative (but making it a positive) and the positive together. If you add 55 and 63 you would get 118. And 118 is the distance between -55 and 63.
I hope this helps!! :)
what is this equations value for x? |5-2x|>5
The value of equation for x is x > 0.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
|5-2x| > 5
To solve for let us take x on one side.
So, Subtracting 5 both the side we get,
|5 - 2x - 5| > 5 - 5
Simplifying we get,
|-2x| > 0
Extracting mod we get,
2x > 0
Now since 2 > 0 which is true,
Thus, x > 0
So, the value of equation for x is x > 0.
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A football team gained 6 yards on a first down, lost 15 yards on the second down, and gained 12 yards on the third down. How many yards did the team gain or lose?
9 yards
33 yards
21 yards
3 yards
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form..
Answer:
y = 4/5x + 27/5
or 5y = 4x + 27
or 5y - 4x = 27
Step-by-step explanation:
Look at (-3,3) and (2,7)
So the line rises 4 units and runs 5 units, then slope is 4/5
using m = 4/5, y = 3, x = -3
y = mx + b
3 = 4/5(-3) + b
3 = -12/5 + b
b = 15/5 + 12/5 = 27/5
so y = 4/5x + 27/5
or 5y = 4x + 27
or 5y - 4x = 27
A number d is decreased by 5 and then doubled
Let us assume the given number is x.
If it is decreased by 5 and then doubled, then we can represent that event with an algebraic expression as:
= (x-5) × 2
Formation of equation:
The number decreased by 5 can be written as: x - 5
Now, to double it, we will multiply it by 2 = (x-5) × 2
Therefore, we have the algebraic form of the given condition as :
= (x-5) × 2
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Problem: Chrissy has 3 cats. Each cat weighs differently. The first and second cat weigh 7 kg altogether. The second and third cat weigh 8 kg altogether. The third and first cat weigh 11 kg altogether. What is the weight of each cat?
Answer:its a
Step-by-step explanation:
17/21 + 1/3 - 5/7 thank you!
Answer:3/7
Step-by-step explanation:
Answer:
3/7
Step-by-step explanation:
change all denominators to 21
{21 is the lcd of all the numbers)
17/21 x 1= 17/21
1/3 x 7 = 7/21
5/7 x 3 = 15/21
17/21 + 7/21 - 15/21
24/21-5/21
9/21
reduce by three
9/21÷3
3/7
!!!!!PLEASE HELP!!!!!
Answer:The answer would be 8
Step-by-step explanation:You would have to do 8/-2+2 and that would leave you with 8 because -2+2 is 0.
what is the value of 32 ⅗ ?
Answer:
8
Step-by-step explanation:
I attached my answer........
jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. the area of the smaller lawn is 144 square feet. in the equation (x – 8)2
The dimensions of original lawn are a. 4 feet by 4 feet.
As per the equation and information mentioned in question, x represents the dimension of original lawn. The equation in question represents the relation between area of lawn at side of reduced lawn and it's area. We will solve this equation to find the value of x.
[tex](x - 8)^{2} = 144[/tex]
The expression on Left Hand Side is same as [tex](a - b)^{2}[/tex]. We know, on expansion, we write it as [tex]a^{2} + b^{2} - 2ab[/tex]. Thus, new equation will be -
[tex]x^{2} + 8^{2} - 2*x*8 = 144[/tex]
[tex]x^{2} + 64 + 16x = 144[/tex]
[tex]x^{2} + 16x + 64 - 144 = 0[/tex]
[tex]x^{2} + 16x - 80 = 0[/tex]
[tex]x^{2} + 20x - 4x - 80 = 0[/tex]
x (x + 20) -4 (x + 20) = 0
(x + 20) (x - 4) = 0
So, the two values of x that we get are:
x = 4 and -20.
The dimensions of lawn can not be negative. Hence, the value of x will be x.
Therefore, the dimensions of original lawn are a. 4 feet by 4 feet.
The complete question is -
Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation [tex](x - 8)^{2} = 144[/tex], x represents the side measure of the original lawn. What were the dimensions of the original lawn?
a. 4 feet by 4 feet
b. 8 + [tex]6\sqrt{2}[/tex] feet by 8 + [tex]6\sqrt{2}[/tex] feet
c. 8 - [tex]6\sqrt{2}[/tex] feet by 8 + [tex]6\sqrt{2}[/tex] feet
d. 20 feet by 20 feet
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Prove that cos 4θ = 8 cos⁴ θ - 8 cos² θ + 1
Answer:
Step-by-step explanation:
Answer is in the pic.
Answer:
See below for proof.
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6 cm}\underline{Trigonometric Identities}\\\\$\cos (A \pm B)=\cos A \cos B \mp \sin A \sin B$\\ \\$\sin^2 \theta + \cos^2 \theta=1$\\\end{minipage}}[/tex]
Use the trigonometric identities to prove the given equation:
[tex]\begin{aligned} \implies \cos 4 \theta & = \cos (2 \theta +2 \theta)\\& = \cos 2 \theta \cos 2 \theta - \sin 2 \theta \sin 2 \theta\\& = \cos^2 2 \theta - \sin^2 2 \theta\\& = \cos^2 2 \theta - (1-\cos^2 2 \theta)\\& = 2\cos^2 2 \theta - 1\\ & = 2\left(\cos 2 \theta \right)^2-1\\& = 2\left(\cos\theta \cos\theta-\sin \theta\sin \theta\right)^2-1\\& = 2\left(\cos^2\theta-\sin ^2\theta\right)^2-1\\& = 2\left(\cos^2\theta-(1-\cos^2\theta)\right)^2-1\\& = 2\left(2\cos^2\theta-1\right)^2-1\\\end{aligned}[/tex]
[tex]\begin{aligned}& = 2\left(4\cos^4\theta-4\cos^2\theta+1\right)-1\\& =8\cos^4\theta-8\cos^2\theta+2-1\\ & =8\cos^4\theta-8\cos^2\theta+1 \end{aligned}[/tex]
Simplify the ABSOLUTE VALUE of the number
sentence to solve:
| -4 | + | 1 |=
3
5
-5
-3
Answer:
5
Step-by-step explanation:
Every number from the absolute sign will be positive.