Step-by-step explanation:
let n be the number of working hour
so total income is 24n + 6
now 1/6 of the income will be into saving
so the saving is (24n + 6) /6
The expression representing the amount that will go into his savings each week is $4h + $1.
What is Expression?An expression is combination of variables, numbers and operators.
Mike's weekly pay is given by:
Pay = (hourly rate) x (hours worked) + sales bonus
Pay = $24h + $6
To find one-sixth of his weekly pay, we can multiply his pay by 1/6:
Savings = (1/6) x Pay
Savings = (1/6) x ($24h + $6)
Savings = $4h + $1
Therefore, the simplified expression representing the amount that will go into his savings each week is $4h + $1.
To learn more on Expressions click:
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x^ 3 + 3 x ^ 2 - 9 x - 27 draw the graph of the first derivative and the second derivative on the same set
Answer:
The graph is in the second attached image.
Step-by-step explanation:
In the first attached image, you have three equation graphed, the first is in red color, it's the original equation:
x^3 + 3x^2 - 9x - 27I graphed this to obtain a clear relation between the equation and its derivatives, the second graphed equation is in blue color and it's the first derivative:
First derivative = 3x^2 + 6x - 9 (It's a parabola)And at last, we have in green color the second derivative:
Second derivative = 6x + 6 (It's a line)As you can see, you only need the first and the second derivatives in the exercise, by this reason, in the second attached image you have the graph as you need to show in this exercise.
QUESTION AT THE BOTTOM MAKE SURE YOU KNOW THE ANSWER FIRST PLAESE
Answer:
V=πr2h /3
so we just substate and we get
V≈130.9
Answer: 130.83 units cubed
Step-by-step explanation:
The formula for finding the volume of a cone is [tex]\pi r^2\frac{h}{3}[/tex]
We will use 3.14 for pi.
[tex]3.14r^2\frac{h}{3}[/tex]
Now let's sub in our variables and solve
[tex]3.14(5^2)(\frac{5}{3})\\3.14(25)(\frac{5}{3})\\78.5(\frac{5}{3})\\130 \frac{5}{6}[/tex]
5/6 is about .83
130.83
HELP ASAP!!!
(Question and answers pictured)
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Answer:
(d) reflection about the x-axis, up 6 units
Step-by-step explanation:
The parent function y=1/x is multiplied by -1, which reflects it over the x-axis. Then 6 is added, which shifts it up 6 units.
The transformations are ...
reflection about the x-axis, up 6 units
the washington monument in washington d.c is 555 feet tall. If a tourist sees the monument with a viewing angle of 8, how far away, to the nearest foot, is she from the monument?
Answer:
3,964 ft
Step-by-step explanation:
555 / tan 8° = 555/0.14 = 3,964 ft
C' ∩ ( A U B ) what is the answer to this question.
venn diagram
Step-by-step explanation:
n(AUB)=n(A)+n(B)-n(AnB)
hope it helps
stay safe healthy and happy..Will mark brainlest help me
Answer:
a. {(1,3), (1,4) ,(2,3), (2,4) }
b. {(1,4), (1,5), (2,4), (2,5)}
Answer:
PxR={(1,4)(1,5)(2,4)(2,5)}
PxQ={(1,3)(1,4)(2,3)(2,4)}
Step-by-step explanation:
Each of the members of set P is multiplying by each member of set Q or R,
so, 1 in set P has to multiply by 3 and 4 in set Q or 4 and 5 in set R. (We do the same for 2)
When a member of a set multiplies with another, we put the two members of two sets we are multiplying in parentheses.
what is the derivative of y=(x^2√(1+x))/((1+x^2)^3/2))
Step-by-step explanation:
Maple calculator used.........................
Answer:
Step-by-step explanation:
[tex]f(x)={x^2\sqrt{1+x}\over{(1+x^2)^{3\over{2}}}}\\\\f^\prime (x)=\frac{{{(x^2\sqrt{1+x})^\prime (1+x^2)^{\frac{3}{2}}+ (x^2\sqrt{1+x})}((1+x^2)^{\frac{3}{2}}})^\prime}{((1+x^2)^\frac{3}{2})^2}}}[/tex]
[tex](x^2 \sqrt{1+x})^\prime=2x\sqrt{1+x}+ \frac{x^2}{2\sqrt{1+x}}[/tex]
[tex]((1+x^2)^{\frac{3}{2}})^\prime=\frac{3}{2}(1+x^2)^{\frac{1}{2}} (2x)=3x(1+x^2)^{\frac{1}{2}}[/tex]
[tex]f^\prime(x)=\frac{\{(1+x^2)^{\frac{3}{2}}\}(2x\sqrt{1+x}+\frac{x^2}{2\sqrt{1+x}})+(x^2 \sqrt{1+x})(3x\sqrt{1+x^2})}{(1+x^2)^{3}}}[/tex]
[tex]\sqrt{1+x^2}=\sqrt{(1+x)(1-x)}[/tex]
[tex]f^\prime (x)=x\sqrt{1+x}~\frac{(1+x^2)^{\frac{3}{2}}(2+\frac{x^2}{2(1+x)})+3x^2\sqrt{1-x}}{(1+x^2)^3}[/tex]
I need the answers Anyoneeee
If 8 x - 4 = 6 - 3 x then x =
Answer:
x = 10/11
Step-by-step explanation:
Your welcome! :)
Expand the brackets 3(12-W)
Answer:
[tex]36 - 3m[/tex]
Step-by-step explanation:
[tex]3(12−m)[/tex]
[tex]3 \times 12+3(−m)[/tex]
[tex]36+3(−m)[/tex]
[tex]36−3m[/tex]
Hope it is helpful...Question 6. * The number of likes a social media post has generated has been tracked as a function of the number of min since it was posted. The data is shown in the table below, where t is the number of minutes and I is the number of likes. If an exponential model was used to fit this data, which of the following would be closest to its prediction for the number of likes after one hour
Answer:
Step-by-step explanation:
yes
Read the sentence.
This is an example of a
Brendan is playing in the backyard.
O simple sentence.
O compound sentence.
O complex sentence.
O compound-complex sentence.
Answer:
I think it's simple sentence
a total of 10000 was invested in two business ventures A and B .at the of the first year A and B yielded returns of 6% and 23÷4 respective on the original investment how was the original amount allocated if the total amount earned was 588.75?
Answer:
(1)
compound amount = 802.5 $
invest earned = 52.5 $
Step-by-step explanation:
total amount = 10000 $
let amount x invested in ventures A and remaining (1000-x) on ventures B
now,
6x/100 +23/400(1000-x ) = 588.75
{24x+23(1000-x)}/400 =588.75
x=235500-230000
x=5500
Amount invested on A = 5500$
Amount invested on B = 4500$
(2)
principle=750$
time= 1 year
effective invest rate = 7%
a) compound amount = p(1+(r/w)^t
=750{1+(7/100)}^1
=802.5$
b) invest earned = 802.5-700 = 52.5$
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.
Which expression has the greatest value?
A: 16 3/2
B: √16^2
C: 3√64^2
D: 3√8^4
Answer:
16 3/2
Step-by-step explanation:
So lets go thru each one.
16 3/2 is just 17.5
A square root cancels out a square.
A cubed root cancels out a cube.
So, in the next answer:
16 squared, to the square root is just 16, since the squaring and root cancels out.
64 sqaured to the cube root must be 16. Lets break it all down:
2^6=64. We need to square this, so we can rewrite it as:
64^2 = [tex](2^6)^2[/tex]
Normally we add/subtract exponents, but since the 6 exponent is in parethesese, it is multiplied by the 2 exponent. This makes it 2^12. So we can rewrite [tex]\sqrt[3]{64^2}[/tex] as:
[tex]\sqrt[3]{2^1^2}[/tex]
Now, when we divide a exponent by a exponent, we subtract.
However, when we root a exponent, it is division.
So it is the 2 [tex]\frac{^1^2}{^3}[/tex]
=
[tex]2^4[/tex]
Or
16
Finally we have the cubed root of 8^4.
using the same steps as above, 8^4 = [tex](2^3)^4[/tex]. This equals [tex]2^1^2[/tex]
Then again, we cube root it.
This is division of the 12 exponent by the 3 root, so we get:
[tex]2^4[/tex]
=
16
So in the end:
A - 17.5
B - 16
C - 16
D - 16
So a is the largest number
Hope this helps!
Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.
How many quarts of fertilizer are left?
Answer:
81
Step-by-step explanation:
4 quarts = 1 gallon
there are 22 gallons so multiply 4 by 22
that equals 88 quarts then subtract 7
leaving you with 81 quarts
Los principales accionistas de la empresa global zafiro S.A. están interesado en una empresa que representa una importante competencia. Entre los datos de la empresa tiene los siguientes: la planta opera a nivel que oscila entre 80 y 100% de su capacidad. Cuando su nivel de actividad es de 80% los costos variables de fabricación totalizan $180,000,000. A su nivel normal de 90% de la empresa utiliza 40,500 horas de mano de obra directa y tiene costos de fabricación totales de $371,500,000. Determina los costos de fabricación finos y variables al 80 y 100% de su capacidad
Answer:
Los costos de fabricación fijo y variables al 80 y 100% de su capacidad son:
80%: Fijos = $169,000,000.00 Variables = $180,000,000.00
100%: Fijos = $169,000,000.00 Variables = $225,000,000.00
Explicación:
Los costos totales de fabricación (CT) vienen dados por la suma de los costos fijos (CF) y los costos variables (CV), recordando que los costos fijos son aquellos en los que se incurre independientemente de que se esté operando o no; mientras que los costos variables son aquellos que dependen del nivel de actividad pues corresponden a consumibles en el proceso productivo.
En el caso estudio, se sabe que los costos variables de fabricación totalizan $180,000,000.00 al nivel de actividad de 80%. Ya que estos costos incrementan o disminuyen en relación con el nivel de actividad, planteamos una regla de tres simple para calcular los costos variables en los niveles de actividad 90% y 100%
Si al 80% de actividad ---------------- los CV son $180,000,000.00
al 90% de actividad ---------------- los CV serán x
x = [(90)(180,000,000.00)]/(80) = 202,500,000.00
Los costos variables de fabricación al nivel de actividad de 90% son $202,500,000.00
Si al 80% de actividad ---------------- los CV son $180,000,000.00
al 100% de actividad ---------------- los CV serán x
x = [(100)(180,000,000.00)]/(80) = 225,000,000.00
Los costos variables de fabricación al nivel de actividad de 100% son $225,000,000.00
Para conocer los costos fijos basta recordar que al nivel de actividad de 90% lo costos de fabricación totales son $371,500,000.00. Este monto es la suma de los costos fijos y los costos variables; así que:
CT = CV + CF ⇒ CV = CT - CF ⇒
CV = 371,500,000.00 - 202,500,000.00 = 169,000,000.00
Los costos fijos de fabricación son de $169,000,000.00
Conclusión:
Los costos de fabricación fijo y variables al 80 y 100% de su capacidad son:
80%: Fijos = $169,000,000.00 Variables = $180,000,000.00
100%: Fijos = $169,000,000.00 Variables = $225,000,000.00
Find the Value of X (in this picture)
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Answer:
x = 64
Step-by-step explanation:
The two base angles in the isosceles obtuse triangle are equal, so are both 29°. The sum of these angles is 58°, which is the measure of the external acute angle at the upper left of the acute triangle.
The two base angles of the acute isosceles triangle are equal, so are both 58°. The angle marked x° has a measure that makes the sum of angles in that triangle be 180°.
x° = 180° -2(58°)
x° = 64°
solve for x below in the equation
Answer:
Step-by-step explanation:
7x + 2x =90 (being perpendicular)
9x =90
x =90/9
x =10
substiute the value of x
7x
=7*10
=70
2x
=2*10
=20
Answer:
x = 10
Step-by-step explanation:
See image. Due to the logic of vertically opposite angles (when one angle is equal to the other that is "vertically opposite" to it), the two angles that I have marked in the diagram are going to equal.
Therefore, if we were to write it out:
2x + 7x = 90
(vertically opposite angles)
9x = 90
∴ x = 10
Find the measurement of the numbered angles
Answer:
m<1 = 60
m<2 = 30
m<3 = 80
Step-by-step explanation:
1. Solve for angle (1)
The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;
(30) + (m<1) + (90) = 180
Simplify,
120 + m<1 = 180
Inverse operations,
m<1 = 60
2. Solve for angle (2)
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,
m<2 = 30
Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.
3. Solve for angle (3)
As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.
(m<2) + (70) + (m<3) = 180
Susbtitute,
30 + 70 + (m<3) = 180
Simplify,
100 + m<3 = 180
Invers eoperations,
m<3 = 80
Find y.
A. 42–√
B. 4
C. 22–√
D. 83√3
Answer:
B
Step-by-step explanation:
You always have to use the Big Three trig functions (those that are on your calculator when answering this kind of question involving right angle triangles).
y is the adjacent side of the triangle. It is the side (other than the hypotenuse -- which is the longest side of the right triangle) that makes up the cosine.
Cos(45) = y / 4 sqrt(2)
Cos(45) = sqrt(2)/2
Multiply both sides by 4 sqrt(2)
4*sqrt(2) * cos(45) = y
4*sqrt(2) * sqrt(2)/2 = y
2*2 = y
y = 4
I can't tell you where all the other choices are coming from.
Answer:
4, or B
Step-by-step explanation:
What is the correct classification for each given angle?
Drag and drop the answer into the box to match each angle.
pls pls help me out guys
EDCITE !!! HELP PLEASE !
Answer:
34
Step-by-step explanation:
The angles of a triangle add to 180
56+ F + 90 = 180 ( the box means 90 degrees)
Combine like terms
146+F = 180
Subtract 146 from each side
F = 180-146
F = 34
find the mesure of angle b
Answer:
It's C
Step-by-step explanation:
because there is a 90 degrees sigh behind it and those two angles need to add up to 90
Answer:
31
Step-by-step explanation:
b+59=90
b=90-59
b=31
hope it helps
Mathematical Literacy Assignment no 2021
Please help me!! i have no clue how to do this unit :(
Answer:
the area is 27
Step-by-step explanation:
Answer:
the base of this shape is 6
lets break it up into a rectangle and a triangle
the rectangle is 6(base) time 3(height)=18
the triangle is 6(base) times 3(height) divided by two = 9
18 plus 9 = 27
give one example of the following properties for whole number under addition
Step-by-step explanation:
Objective: Recall the properties.
a) 3+1=4
b) 3+7=7+3
c) 3+(7+4)=7+(3+4)
d). 3(7+4)=(3×7)+(3×4)
NEED HELP ASAP!!
use the vertical line test to determine if the relation whose graph is provided is a function
(graph and answers pictured)
Answer:
Yes, this graph represents a function
Step-by-step explanation:
The function passes the vertical line test, which tests for if any input has more than one unique output by moving a vertical line from left to right. If the vertical line doesn't pass 2 or more points at a time, then the function is indeed a function.
Answer:
The graph does represent a function
Step-by-step explanation:
The function is at about 30y = x^3
Please help solve this using L.C.M and explain the steps plz ty.
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Answer:
(x, y) = (2, 3)
Step-by-step explanation:
The first step is to find the least common multiple of the denominators of each of the equations. If the denominators have no common factors, a reasonable choice is their product. Here, it works to start with the fractions that must be added, then compare the LCM found to the denominator on the right to see if any further factors must be included.
First equation:
LCM = 3×4 = 12
12(2x/3 -y/4) = 12(7/12) . . . . . multiply the equation by 12
8x -3y = 7 . . . . . . . . . simplify
Second equation:
LCM = 4×5 =20
20(3x/4 -2y/5) = 20(3/10) . . . . multiply equation by 20
15x -8y = 6 . . . . . . simplify
Solve by elimination
We can eliminate the y-variable by subtracting 3 times the second equation from 8 times the first:
8(8x -3y) -3(15x -8y) = 8(7) -3(6)
19x = 38 . . . . . simplify
x = 2 . . . . . . . divide by 19
Substituting into the first equation gives ...
8(2) -3y = 7
3y = 9 . . . . . . add 3y-7
y = 3 . . . . . divide by 3
The solution is ...
(x, y) = (2, 3)
_____
There are many ways to solve such a system of equations. Using the LCM to eliminate fractions is one way to start. You can also do the arithmetic with the fractions intact, though most folks don't care to. In addition to the elimination method used here, you can use matrix or graphical methods, substitution, or any of the variations of Cramer's Rule.
4x (2x + 3x) + 5y (5y + 3y)
+
Simplify the expression by distributing and then combining like terms
Answer:
20x² + 40y²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4x(2x + 3x) + 5y(5y + 3y)
Step 2: Simplify
[Addition] (Parenthesis) Combine like terms: 4x(5x) + 5y(8y)Multiply: 20x² + 40y²Answer:
20 x ² + 40 y ²
Step-by-step explanation:
4 x ( 2 x + 3 x ) + 5 y ( 5 y + 3 y )
Combine likes term
4 x ( 5 x ) + 5 y ( 8 y )
multiply, we get
20 x ² + 40 y ²
3. Find the value of:
a) 9²
b) 15²
c) (0.2)²
d) (0.7)
Answer:
Step-by-step explanation:
9^2
=9*9
=81
15^2
=15*15
=225
(0.2)^2
=0.2 * 0.2
=0.04
(0.7)
=0.7
