Answer: -$13.47 per hour
Step-by-step explanation:
Hi, to answer this question we have to write an expression:
The total amount earned by the employee will be equal to the product of the number of hours he worked (36) and the amount paid per hour (9.25) ; plus the product of the amount paid for every 20 transformers assembled (8) and the number of transformers assembled (380)divided by 20 :
9.25 (36) + 8 (380/20) =
Solving:
333+ 8 (19) =
333+152 = $485
If we divide the result by the number of hours:
485 /36 = $13.47 per hour
Feel free to ask for more if needed or if you did not understand something.
Answer:
$13.47 per hour
:):):):):):)
what is the value for Z
Answer: z = 28 degrees
Step-by-step explanation:
Since this is an isosceles triangle, two of the angles are congruent.
180 - 124 = 56
56/2 = 28
The price of gasoline increased 25% from July to August. If c = cost of gasoline in July, write two expressions that represent the price of gas in August. If you know the cost of gas in July, which expression do you think would be easier to use to calculate the cost of gas in August and why?
Answer:
Wrote it in the explanation :)
Step-by-step explanation:
Expression One: c + 25% = price of gas in august
Expression Two: c + 0.25 = price of gas in august
Expression Two would be easier to use if we knew "c" because the numbers are already in decimal form. If it were in percentage form, it would cause us an extra step to convert it into a decimal.
Please tell me if you have any further questions...
Hope this helped!!
Chris deposited $445 in an account that earns 3.4% compounded annually. Find the balance in his account after 6 years.
Answer:
$535.78
Step-by-step explanation:
First find out the annual earnings. So multiply 3.4% by 445
0.034 x 445 = 15.13
That's what the account earns every year. Now multiply it by 6 to know what it'll get in 6 years.
15.13 x 6 = 90.78
Now add that to the initial value.
90.78 + 445 = 535.78
That's the balance in the account after 6 years...
$535.78
Use the given figure to find the length of x.
Answer:
x = 18
Step-by-step explanation:
This problem can be solved using concept of Pythagoras theorem.
Pythagoras theorem states that in a right angled triangle, if "a" and "b" are sides containing the right angle and h is hypotenuse then the relation between them is [tex]a^2 + b^2 = h^2[/tex]
_________________________________________
Given in the problem
a = 24
b = x
h = x+12
applying Pythagoras theorem
[tex]24^2 + x^2 = (x+12)^2\\=> 576 + x^2 = x^2 + 24x + 144\\=>576 = x^2 + 24x + 144 - x^2\\=> 576 = 24x + 144 \\=> 576 - 144= 24x\\=> 432 = 24x\\=> x = 432/24 = 18[/tex]
for (x+12)^2 we have used formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex]
Thus, value of x is 18.
Match the points on the number line with the rational numbers.
Answer:
A -1 6/8
B -1 2/8
C -0.5
D 1
E 1 5/8
Step-by-step explanation:
3(x-1) - 8 = 4(1+x) +5. Too hard, i keep getting confused
3(x-1)-8=4(1+x)+5
One solution was found :
x = -20
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x-1)-8-(4*(1+x)+5)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((3•(x-1))-8)-(4•(x+1)+5) = 0
Step 2 :
Equation at the end of step 2 :
(3 • (x - 1) - 8) - (4x + 9) = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-x - 20 = -1 • (x + 20)
Equation at the end of step 4 :
-x - 20 = 0
Step 5 :
Solving a Single Variable Equation :
5.1 Solve : -x-20 = 0
Add 20 to both sides of the equation :
-x = 20
Multiply both sides of the equation by (-1) : x = -20
One solution was found :
x = -20
hope this is wht u wanted
A six-foot-tall basketball player shoots a ball towards the basket and misses. The height in feet of the ball up off the floor of the court as it travels through the air can be modeled by the function: [tex]h(x)=-16x^2+48x+6[/tex] where x is the number of seconds the ball is in the air after the shot is taken. When does the ball reach its maximum height? What is the maximum height of the ball? How much time will pass in seconds from the start of the shot to the ball hitting the floor? Answer all three questions to receive full credit.
Answer:
i) The maximum height of the ball 'x' = 1.5 seconds
ii) The maximum height = 42
Step-by-step explanation:
Step(i):-
Given h(x) = - 16 x² + 48 x +6 ...(i)
Differentiating equation (i) with respective to 'x'
[tex]h ^{l} (x) = - 16 (2 x) +48 (1)[/tex] ...(ii)
Equating Zero
- 3 2 x + 4 8 = 0
- 32 x = - 48
x = 1.5
step(ii):-
The maximum height of the ball 'x' = 1.5
Again Differentiating equation (ii) with respective to 'x'
[tex]h ^{ll} (x) = - 16 (2 x) < 0[/tex]
The maximum height 'x' = 1.5
h(x) = - 16 x² + 48 x +6
h(1.5) = - 16 (1.5)² +4 8 (1.5) +6
= 42
The maximum height at x = 1.5 is = 42
Final answer:-
i) The maximum height of the ball 'x' = 1.5 seconds
ii) The maximum height = 42
How do the graphs of the functions f(x) = (Three-halves)x and g(x) = (Two-thirds)x compare?
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
Given:
[tex]\bold{f(x)= (\frac{3}{2})^x}\\\\\bold{g(x)= (\frac{2}{3})^x}\\[/tex]
Following are the graph attachment to this question:
The second function, that is [tex]g(x)= (\frac{2}{3})^x[/tex] is not even a function.
Remember that g(x) function is the inverted f(x) function. And when you see this pattern, a reflection on the Y-axis expects you.
Reflection in the axis.
In x-axis:
Increase the function performance by -1 to represent an exponential curve around the x-axis.
In y-axis:
Increase the input of the function by -1 to represent the exponential function around the y-axis.
We want to compare the graphs of the two given functions. We will see that the graph of g(x) is the graph of f(x) reflected across the line y = x.
The given functions are:
f(x) = (3/2)*x
g(x) = (2/3)*x
Note that each point on the line f(x) is written as:
(x, (3/2)*x)
And each point on the line g(x) is written as:
(x, (2/3)*x)
Now, if we multiply both sides of the above point by (3/2) we will get:
((3/2)*x, x)
Now, remember that for a general point (x, y), if we apply reflection across the line y = x, we get.
(y, x)
So the order of the values changes, exactly as we can see for f(x) and g(x).
Then we can conclude that g(x) is obtained by reflection f(x) across the line y = x.
Then the graph of g(x) is the graph of f(x) reflected across the line y = x.
If you want to learn more, you can read:
https://brainly.com/question/14536884
If f= {(2, 3), (5,7), (3, 3), (5, 4), (9, 1)), what is the range?
(2,5, 3, 9)
(3, 7, 3, 4,1)
all whole numbers
{1, 3, 4, 7}
To list out the range, you list the y coordinate values of each point of the function. Each point is of the form (x,y). Any duplicate values are tossed out when we talk about a set. All we care about are the unique values. It's common practice to sort the values of the set from smallest to largest.
Side note: Choice A is listing the x values of each point, which is the domain.
what are the values of the coefficents and constant term of 0= 4-7x^2
a=
b=
c=
Answer:
a = -7
b = 0
c = 4
Step-by-step explanation:
A swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour. The depth of the water after 5 hours is 32 inches. Write the equation for this function in point slope form.
Answer:
The equation for this function in point slope form: y = -3x+47
Step-by-step explanation:
We are given that a swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour.
Slope is the rate of change per unit represented by m
So, m = -3
General equation : y = mx+c ----1
y represents the depth of water
t represents the time
The depth of the water after 5 hours is 32 inches.
So, y =32 and x =5
Substitute the values in the equation
So,32=-3(5)+c
32=-15+c
32+15=c
47=c
Substitute the value of c and m in 1
So, The equation for this function in point slope form: y = -3x+47
what are the similarities in the pythagorean theorem and the distance formula
Answer:
The Pythagorean theorem states that, for all 90-degree triangles, the relationship between the lengths of the sides is given by the formula a^2 + b^2 = c^2.
DISTANCE FORMULA
The study of geometry in a graphical environment is called co-ordinate geometry.
In co-ordinate geometry, the standard formula for calculating the distance between 2 points is called the distance formula.
Step-by-step explanation:
Answer:
Short answer: They are essentially the same thing.
The distance formula is derived from the Pythagorean Theorem
We have distance formula:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Pythagorean Theorem:
[tex]a^2+b^2=c^2 \Rightarrow c=\sqrt{a^2+b^2}[/tex]
The shortest distance between two points if a line. If you draw a line in the cartesian plane both points will have an x-coordinate and y-coordinate. Note that it forms a right triangle! Therefore, the distance between those points is the hypotenuse.
We can have a point [tex]a=(x_{1}, y_{1})[/tex] and point [tex]b=(x_{2}, y_{2})[/tex]
But once [tex]a[/tex] and [tex]b[/tex] can be positive or negative:
[tex]c = \sqrt{a^2+b^2}= D = \sqrt{(\pm a)^2+(\pm b)^2}[/tex]
15POINTS OR 22 IDK
Solve 4(x−9)=4(9+1/3x).
Answer:
x = 27
Step-by-step explanation:
4(x−9)=4(9+1/3x).
Divide each side by 4
(x−9)=(9+1/3x)
Subtract 1/3 x from each side
x - 1/3x -9 = 9+1/3x -1/3x
2/3x -9 = 9
Add 9 to each side
2/3x -9+9 = 9+9
2/3x = 18
Multiply each side by 3/2
3/2 * 2/3x = 18*3/2
x = 27
Answer:
27
Step-by-step explanation:
4(x−9)=4(9+1/3x)
4x-36=36+(4/3)*x
(12/3)*x-36=36+(4/3)*x
(8/3)*x=72
8x=216
x=27
write an equation that defines the function :)
Answer:
see below
Step-by-step explanation:
Since the initial value is 5 and it increases by 3 every time x goes up the equation is y = 5 * 3^x.
Write an equation in slope-intercept form for the line.
slope = 0, y-intercept = 3
Answer: y = 0x+3 or y = 3
The slope is 0 and the y intercept is 3. So m = 0 and b = 3.
Plug those into y = mx+b to get y = 0x+3, and that simplifies to y = 3.
This graphs out a horizontal line that passes through the two points (0,3) and (1,3).
i need the answer now!!
Answer:
10 ft^3
Step-by-step explanation:
if a cube is 1/3ft then 3 cubes = 1ft
then 30 cubes = 10ft^3
What are the coordinates of the x-intercept of the equation 2x - 3y = 8?
A:(-8/3,0)
B:(0,-8/3)
C:(4,0)
D:(0,4)
E:(-4,0)
Answer:
C
Step-by-step explanation:
x-intercept occurs when y=0.
2x -3y= 8
When y=0,
2x -3(0)= 8
2x= 8
x= 8 ÷2
x= 4
Thus the coordinates is (4,0).
Show that (−3) × (−4) = +12 using the distributive property.
-3x-4= +12
X negative 3 and 4 then add +12 to it.
Simplify. x+5/x^2+6x+5
1/x+1; where x ≠ -1
1/x+1; where x ≠ -1,-5
1/x-5; where x ≠ 5
X-5
Answer:
7x3 + 5x2 + 5
x2
= 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
Sum =6
Product =5
Factors = 5 , 1
x² + 6x + 5 = x² + x + 5x + 5*1
= x(x + 1) + 5(x+1)
= (x+1) (x +5)
[tex]\frac{x+5}{x^{2}+6x+5}=\frac{x+5}{(x + 1)(x+5)}\\\\=\frac{1}{x+1}[/tex]
HELPPPP ASAP !!!!!!!
A triangle was dilated by a scale factor of 4. If tan a° = four thirds and segment FD measures 12 units, how long is segment EF?
triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
segment EF = 6 units
segment EF = 9 units
segment EF = 12 units
segment EF = 16 units
Answer:
Segment EF = 16 units
Step-by-step explanation:
First we will figure out our equation:
Line FD is adjacent to angle a.
Line EF is opposite to angle a
and line ED is the hypotenuse.
Since we will being using Tangent, the hypotenuse is irrelevant.
Tan a° = [tex]\frac{opposite}{adjacent}[/tex]
Now substitute:
[tex]tan \frac{3}{4} = \frac{x}{12}[/tex]
Multiply both sides by 12:
[tex](12)tan\frac{3}{4} =x[/tex]
Solve for tangent by using your calculator:
[tex]tan \frac{3}{4}= 1.333333333[/tex]
[tex](12)1.333333333= 16[/tex]
[tex]16 = x[/tex]
EF = 16 units.
Answer: the one above is correct
Step-by-step explanation:
Took the test!! :)
Need some help with congruence and similarity
(Picture bellow)
Answer:
a and b are similarity i think that's what your looking 4 idk
Step-by-step explanation:
The parabola y=x^2 is shifted down by 3 units and to the left by 2 units.What is the equation of the new parabola?
Answer:
y=(x+2)²-3
Step-by-step explanation:
when y=x² shifted 3 units down
its eq. is y=x²-3
when it is also shifted 2 units left then its eq. is
y=(x+2)²-3
please help :))))))))
Answer:
Look at the attachment
Solve for x.
-3x-8+6=7
А. x= -7/5
B.x= -1/3
C. x=5
D. x=45
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
[tex]-3x-8+6=7[/tex]
[tex]-3x-2=7[/tex]
[tex]-3x-2+2=7+2[/tex]
[tex]-3x=9[/tex]
[tex]$\frac{-3x}{3} =\frac{9}{3} $[/tex]
[tex]-x=3[/tex]
[tex]x=-3[/tex]
5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the
numbers and divides by three. The result on the calculator shows 17.3167. Where should Kalen round? Explain.
Answer:
Since the first number after the decimal is lower than 5, you would need to round down. So the answer would be 17(not 18).
Step-by-step explanation:
The ratio of the number of adults to the number of children in a library is 12:5. If there are 45 children in the library, how many adults are there at the library?
Answer:
The answer is 108.
Step-by-step explanation:
This can be solved with a simple proportion. 5/12 = 45/1. For 5 to become 45, you need to multiply by 9. You do the same to the denominator. 12 times 9 is 108.
how do you compare 7/8 ___ 15/16 ?
Answer:
7/8 < 15/16
Step-by-step explanation:
Get a common denominator of 16
7/8 *2/2
14/16
14/16 < 15/16
so 7/8 < 15/16
help me with this please
Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, f(x), as it relates to the number
of miles driven, x, is shown in the graph
due today
The answer is f(x)=1/2x+25
What equivalent fractions do you see represented in the picture? Type them and explain how you know they are equivalent type it in!
Answer: 2/8, 4/8, 4/4, 8,8
Step-by-step explanation:
They all have the denominator of 8.
