Answer:
The cost of producing the article is -3500 (Negative cost)
Step-by-step explanation:
The given parameters are
The ratio of the profit to material cost to production labor = 5:7:13
The amount of the material cost = 840 + Labor cost
Let the total cost = X
Therefore, we have;
The fraction of the total cost that is material cost = 7/(5 + 7 + 13) = 7/25
Therefore, the material cost = 7/25 × X
The fraction of the total cost that is labor cost = 13/(5 + 7 + 13) = 13/25
Therefore, the labor cost = 13/25 × X
However, the amount of the material cost = 840 + Labor cost, which gives;
7/25 × X = 13/25 × X + 840
7/25 × X - 13/25 × X = 840
-6/25 × X= 840
X = 840/(-6/25) = 840×(-25/6) = -3500
The cost of producing the article = -3500.
Evaluate (-B)2 for A = 5, B = -4, and C = 2.
16
0 -16
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{16}}}}[/tex]Step-by-step explanation:
Given , value of b = -4
To find : ( - b )²
plug the value of b
⇒[tex] \sf{( - {( - 4))}^{2} }[/tex]
we know that ,
[tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
⇒[tex] \sf{ {4}^{2} }[/tex]
Evaluate the power
⇒[tex] \sf{16}[/tex]
Hope I helped!
Best regards!!
Which statements are true about the estimation of decimal products? Check all that apply. Estimation gives an approximate answer. Estimation always results in a product greater than the exact answer. Estimation always results in a product less than the exact answer. Estimation can be done by rounding each decimal to the nearest whole number.
Step-by-step explanation: the answers are a and d
Answer:
a d
Step-by-step explanation:
got it right
. Find the measure of an angle which is 46° less than its complement
Answer:
Complementt angle = 44°
Step-by-step explanation:
Given:
One angle = 46°
Find:
Complementt angle
Computation:
In complement angle
∠A + ∠B = 90°
46° + ∠B = 90°
∠B = 90° - 46°
∠B = 44°
Complementt angle = 44°
Does f(x)=x^2-3x have a 5 in its domain?
Answer:
yes
Step-by-step explanation:
Every polynomial has "all real numbers" in its domain. 5 is a real number, so is in the domain of f(x).
a _____ function is a function that is defined on a sequence of intervals.
Answer: a piecewise function is a function that is defined on a sequence of intervals.
Step-by-step explanation:
A piecewise function is a function that is "different" at different intervals.
The function may behave linearly between x = 0 and x = 10, and after that point, the function may be constant for a while, then change again.
This type of functions can be written as:
f(x) = g(x) if x1 ≤ x ≤ x2
f(x) = h(x) if x2 ≤ x ≤ x3
f(x) = k(x) if x3 ≤ x ≤ x4
and so on, where g(x), h(x) and k(x) are different functions, and those functions only act on the givenintervals: (x1, x2), (x2, x3) and (x3, x4)
A countrys population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using exponential growth formula. Round your answer to the nearest million. P=Ae to the power kt
Answer:
171 millionStep-by-step explanation:
Given the exponential growth formula expressed as [tex]P = Ae^{kt}[/tex] where P is the countrys population and t is the time.
Initially in 1991, at t= 0, P = 147 million
[tex]P = Ae^{kt}\\147 = Ae^{k(0)}\\147 = Ae^0\\147 = A(1)\\A = 147[/tex]
If by 1998 it was 153 million, this means that the population is 153 million 7 years later i.e when t = 7, P = 153. On substituting into the formula to get the constant 'k';
[tex]P = Ae^{kt}\\153 = 147e^{k(7)}\\153 = 147e^{7k}\\153/147 = e^{7k}\\e^{7k} = 1.041\\Taking \ ln \ of \ both \ sides\\lne^{7k} = ln 1.041\\7k = 0.04018\\k = 0.04018/7\\k = 0.00574[/tex]
To estimate the population in 2017, to number of years from 1991 to 2017 is 26 years. Hence we are to find the value of P given t = 27, A = 147 and k = 0.00574
[tex]P = Ae^{kt}\\P = 147e^{0.00574*26}\\P = 147e^0.14924\\P = 147*1.16095\\P = 170.659[/tex]
Hence the population in 2017 using exponential growth formula to the nearest million is 171 million.
Can y’all help me on this I just don’t understand it’s find su and m is the midpoint
Answer:
SU = 70
Step-by-step explanation:
First, we need to find the value of x. Since M is the midpoint of SU, that means that SM = MU, therefore:
x + 15 = 4x - 45
15 = 3x - 45
60 = 3x
x = 20
We know that SU = SM + MU = (x + 15) + (4x - 45) = 5x - 30 and that x = 20 so SU = 5x - 30 = 5 * 20 - 30 = 100 - 30 = 70.
The perimeter of a basketball court is 84 meters and the length is 6 meters longer than twice the width. What is the length and width
Answer:
length: 30 meters
width: 12 meters
Step-by-step explanation:
2(a+b) = 84
a = 2b + 6
a = length
b = width
then:
2((2b+6)+b) = 84
2b + 6 + b = 84/2
3b + 6 = 42
3b = 42 - 6
3b = 36
b = 36/3
b = 12
a = 2b + 6
a = 2*12 + 6
a = 24 + 6
a = 30
Check:
84 = 2(12+30)
84 = 2*42
evaluate plz plz plz help me i am soo confused
Hey there! I'm happy to help!
QUESTION 100
Here, we are looking for the number of permutations. A permutation is the number of possible arrangements you can make from a given set of things (order matters). If you have 6 kids standing in alphabetical order in line, that is one permutation. If you do reverse alphabetical order, that is a different permutation.
We are asked to find the number of permutations using the given format:
[tex]_{n}P_{r}\\[/tex]
This is simply a representation of what we want to find. The P means we are looking for the number of permutations. The n is the total number of objects in the set (for example, if there were 26 kids we could choose from to make this 6 person line, n would be 26). The r is the number of things chosen from the set (in our line example, the r would be six because we are choosing 6 kids).
The formula for finding the number of permutations is [tex]\frac{n!}{(n-r)!}[/tex]. The ! is factorial, it means you multiply that number by every integer counting backwards towards 1. 6! is 6×5×4×3×2×1. There is an option to do this on your calculator, though.
Let's solve this problem.
[tex]_{5}P_{4}=\frac{5!}{(5-4)!}= \frac{120}{1} =120[/tex]
This means that there are 120 permutations.
QUESTION 101
Now we have a C. This is similar to permutations but with combinations order does not matter. With our line example, having the same six kids in alphabetical order is a different permutation than having it in backwards alphabetical order. With combinations, if you have those specific six kids, it is just one combination; the order does not matter.
The formula for combinations is [tex]\frac {n!}{r!(n-r)!}[/tex]. Let's plug in our numbers and solve for this.
[tex]_{8}C_{2}=\frac{8!}{2!(8-2)!} =\frac{8!}{2!(6!)}=\frac{40320}{1440} =28[/tex]
QUESTION 102
Quick note: 0! is equal to 1. I don't really know why but there's probably proof somewhere.
[tex]_{7}C_{0}=\frac{7!}{0!(7-0)!} =\frac{7!}{7!} =1[/tex]
And I believe you already have Question 103 figured out.
4!=4×3×2×1=24
Have a wonderful day! :D
(9.5 minus 3 times 1 and one-half) divided by 0.5 0.5 5 10 19.5
Answer:
Your value expression is 10
Step-by-step explanation:
We know that [tex]1\frac{1}{2}=\frac{3}{2}=1.5[/tex]
The value experssion:
Giving: [tex]\frac{9.5-3(1\frac{1}{2}) }{0.5}[/tex]
Change [tex]1\frac{1}{2}[/tex] into a whole number: [tex]\frac{9.5-3(1.5)}{0.5}[/tex]
Multiply 3 into 1.5: [tex]\frac{9.5-4.5}{0.5}[/tex]
Divide: [tex]\frac{5}{0.5}[/tex]
Your answer equals: 10
Which series represents this situation?
1 + 1 · 7 + 1 · 72 + . . . 1 · 76
1 + 1 · 7 + 1 · 72 + . . . 1 · 77
7 + 1 · 7 + 1 · 72 + . . . 1 · 76
7 + 1 · 7 + 1 · 72 + . . . 1 · 77
Answer:
1 + 1 · 7 + 1 · 72 + . . . 1 · 76
Step-by-step explanation:
bc
Answer:
1 + 1 · 7 + 1 · 72 + . . . 1 · 76
Step-by-step explanation:
Hope this helps!
Please help find the value of x for this equation
Answer:
A
Step-by-step explanation:
We would like to find the value of x.
Since the triangle is isosceles, the drawn altitude bisects the base of length 8. This means that the big triangle is split into two congruent triangles with base 4 and height 5.
Notice that by definition, as well, the altitude of 5 is perpendicular to the base of length 8. So, we have two right triangles, each with legs of 4 and 5 and hypotenuse x.
We apply the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:
a² + b² = c²
Here, we have:
4² + 5² = x²
16 + 25 = x²
41 = x²
x = √41
The answer is thus A.
~ an aesthetics lover
Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony then eats half of his sweets.
Write expressions for the number of sweets Sue and Tony now have.
Help pleaseeeeee
Answer:
sue = 18
tony = 18
sue = 18 - x
tony = 18 + x
sue = 18 - x - 5
tony = (18 + x) / 2
sue = 13 - x
tony = (18 + x) / 2
Step-by-step explanation:
You Simplify The Equation by using PEMDAS
P: Parentheses
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
Someone help!!! Tyyy
Answer:79°
Step-by-step explanation:
Given the 124° angle, the other angle formed by that line and the top side of the square must be 56°, as they are supplementary angles (they must add up to 180°). This means that the angle formed by that same line and the bottom side of the square is also 56° since it is a corresponding angle and the top and bottom sides of a square are parallel. The angle that a diagonal of a square forms with the sides of a square is always 45°.
So now we have a triangle (in red in my diagram) with angles of 45°, 56°, and x°. The sum of the angles of a triangle must always equal 180°, so we solve for x:
56 + 45 + x = 180
x = 180 - 56 - 45 = 79
So angle x must be 79°.
Given f(x) = 3x - 40. If f(x)= 8, what is the value of x?
A. - 96
B. -16
C. 16
D. -32/3
E. 32/3
Answer:
C
Step-by-step explanation:
Given
f(x) = 3x - 40 and f(x) = 8 , then equate the right sides, that is
3x - 40 = 8 ( add 40 to both sides )
3x = 48 ( divide both sides by 3 )
x = 16 → C
Help please, w-5-4= -8-6w+8w?
Answer:
w = -1
Step-by-step explanation:
w-5-4= -8-6w+8w ⇒ simplifyw - 9 = - 8 + 2w ⇒ add 9 - 2w to both sidesw - 2w = - 8 + 9 ⇒ simplify-w = 1 ⇒ multiply both sides by -1w = -1 ⇒ answerAnswer:
[tex]\Huge \boxed{w=-1}[/tex]
Step-by-step explanation:
[tex]w-5-4= -8-6w+8w[/tex]
Combining like terms.
[tex]w-9= -8+2w[/tex]
Adding -w and 8 to both sides.
[tex]-9+8=2w-w[/tex]
[tex]-1=w[/tex]
If a = B and b = C, which statement must be true?
a
a = C
a + c = 0
-a - C = 0
d a>c
Answer:
If a = B and b = C, then
a = C
I really need help with this question. can someone help me!
Answer:
144
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
4[tex]\sqrt{2}[/tex] × 6[tex]\sqrt{18}[/tex]
= 4 × 6 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{18}[/tex]
= 24 × [tex]\sqrt{36}[/tex]
= 24 × 6
= 144
A group of hikers keep track of their elevation as a function, E, to determine the
different elevation levels as they travel along the trail in Possum Kingdom State
Park. E(d) represents the height of elevation in feet where d is the distance the
hiker travels along the trail. What would be the most appropriate domain for the
function?
{-1,-2,0,1,2,3)
O ,-1,0, 1, 2, 3, ...)
{0,1,2,3,4,...}
C-3,0,1,2,3...
)
Find the value of x round to the nearest tenth
Answer:
x = 80.4
Step-by-step explanation:
Step 1: Realize you have to use tangent to solve
[tex]tan()=\frac{o}{a}[/tex]
Step 2: Use tangent to solve
o = x
a = 300
[tex]tan()=\frac{o}{a} \\tan(15)=\frac{x}{300}\\x = 300tan(15)\\x = 80.4[/tex]
Therefore x is equal to 80.4 rounded to the nearest tenth
Answer:
x = 80.4Step-by-step explanation:
[tex]Opposite = x\\Adjacent = 300\\\alpha =15\\Using \: SOHCAHTOA\\\\Tan \alpha = \frac{Opposite}{Adjacent} \\\\Tan 15 =\frac{x}{300} \\\\2-\sqrt{3} = \frac{x}{300}\\\\ 2-\sqrt{3} \times 300=x\\\\80.384=x\\\\x = 80.4[/tex]
Twice the difference between of a number 5 ?
Answer:
2(x-5)
Step-by-step explanation:
the number will be ''x''
difference between the number (x) and 5 =
x-5
twice the difference is =
2(x-5)
2. One school has 97 students.
Another school has 72 students.
How many more students does the
larger school have?
Answer:
25
Step-by-step explanation:
97-72= 25
Hope this helped!
Answer:
25
Step-by-step explanation:
97-72= 25
What value of x will make the angle between the pottery and the arrowhead measure 57
Answer:
x = 9
Step-by-step explanation:
Take the angle of LOJ (3x) and JOK (2x+12).
LOJ + JOK = LOK.
LOK = 57.
So, 3x + 2x + 12 = 57
3x + 2x = 5x
5x + 12 = 57
57 - 12 = 45
5x = 45
x= 9
anyone know the answers to this ?!
Answer:
Hey there!
3 x 5/4 = 3 x 5 ÷ 4 = 5 x 3 ÷ 4
5 x 4/3 = 5 x 4 ÷ 3 = 4 x 5 ÷ 3
4 x 3/5 = 4 x 3 ÷ 5 = 4 x 3 ÷ 5
Hope this helps :)
Calculate the distance between the two quantities: 4 ft and 12 ftCalculate the distance between the two quantities: 4 ft and 12 ft
Answer:
8 feet
Step-by-step explanation:
Distance can be explained as the way to measure how far a thing or something is apart from each other numerically, it shows how close or far apart between two point
From the question, we are given two point
Point1= 12 feet
Point 2= 4 feet
Then Distance between the two point= 12feet-4feet
= 8feet
Hence the distance= 8 feet
A white tailed deer can sprint at speeds up to 30 miles per hour America bison can run at speeds up to 3,520 feet per minute which animal is faster and by how many miles per hour? There are 5,280 feet in one mile
In 1 minute, bison runs 3520 feet
In 60 minutes, the bison would run
3520*60 feet
211200 feet per hour.
These are equivalent to;
40 miles per hour since 1 mile is equivalent to 5280 feet.
The bison is faster by 10 miles per hour
Evaluate. 5(−6)= ________
The evaluation of the numeric expression is:
5(−6) = -30
How to evaluate numeric expression?A numeric expression is a mathematical statement that involves only numbers and one or more operation symbols.
Examples of operation symbols are addition, subtraction, multiplication and division. It can also be expressed in the radical symbol (the square root symbol) or the absolute value symbol.
We can evaluate 5(−6) as follow:
5(−6) = 5 * (-6)
= -30
Learn more about numeric expression on:
https://brainly.com/question/4344214
#SPJ6
Anyone help me here please!!!!
Answer:
here is a formulae
cos2A= 2cos square a -1
Step-by-step explanation:
as given cos A= 1/2 (a+1/a)
by simplifying
cosA =a²+1/2a
now by following the formulae
cos2A = 2cos²A-1
=2(a²+1/2a)² -1
=2(a⁴+2a²+1/4a²)-1
=a⁴+2a²+1/2a² -1
=a⁴+2a²+1-2a²/2a²
=a⁴+1/2a²
=1/2 (a⁴+1/a²)
=1/2(a⁴/a²+1/a²)
=1/2(a²+1/a²)
{proved}
please mark me as a brainilist...plzzz
thank uuu
Answer: see proof below
Step-by-step explanation:
Use the Double Angle Identity: cos 2A = 2cos²A - 1
Proof LHS → RHS
Given: [tex]\cos A=\dfrac{1}{2}\bigg(a+\dfrac{1}{a}\bigg)[/tex]
LHS: cos 2A
Double Angle Identity: 2(cos²A) - 1
[tex]=2\bigg(\dfrac{1}{2}\bigg(a+\dfrac{1}{a}\bigg)^2\bigg)-1[/tex]
Simplify: [tex]2\bigg(\dfrac{1}{4}\bigg(a^2+2+\dfrac{1}{a^2}\bigg)\bigg)-1[/tex]
[tex]=\dfrac{1}{2}\bigg(a^2+2+\dfrac{1}{a^2}\bigg)-1[/tex]
[tex]=\dfrac{1}{2}a^2+1+\dfrac{1}{2a^2}-1[/tex]
[tex]=\dfrac{1}{2}a^2+\dfrac{1}{2a^2}[/tex]
Factor: [tex]=\dfrac{1}{2}\bigg(a^2+\dfrac{1}{a^2}\bigg)[/tex]
[tex]\dfrac{1}{2}\bigg(a^2+\dfrac{1}{a^2}\bigg)=\dfrac{1}{2}\bigg(a^2+\dfrac{1}{a^2}\bigg)\quad \checkmark[/tex]
Please help, I really would love it
Answer:
A,C, and D I believe.
Step-by-step explanation:
please help on 13 and 14
Answer:
13) The planes ABF and FHG are perpendicular
14) Segments Ab and CD are parallel.
Step-by-step explanation:
13)
Planes ABF and FHG are perpendicular (they intersect along side EF)
14)
In order to find out about the segments AB and CD, let's use the formula for the slope that joins any two points [tex](x_1,y_1)\,\,\&\,\,(x_2,y_2)[/tex] on the plane:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, given:
A = (-3, 2)
B = (1, 4)
C = (-3, -1)
D = (1, 1)
we have for segment AB the following slope:
[tex]slope_{AB}=\frac{4-2}{1+3} =\frac{2}{4} =\frac{1}{2}[/tex]
and for segment CD the following slope:
[tex]slope_{CD}=\frac{1+1}{1+3} =\frac{2}{4} =\frac{1}{2}[/tex]
Since they show the same slope, these two segments are parallel.