David earned a total of $378.75 in 15 hours. How much did David earn per hour?
Answer:
$25.25
Step-by-step explanation:
amount per hour = total amount divided by hours worked
= $378.75/15
= $25.25
What is the answer
The question is what is the equation of line a and then b
A ray, line or segment that cuts a segment in half and create right angles is called__
Can you find the solution Im so confused
help meeeeeeeeeeeeeeee pleaseee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeee pleaseee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Vertex (3, 5) ⇒ h = 3, k = 5
a is the same as given.
The equation:
f(x) = 7(x - 3)² + 5Please help!!! What are the domain and range of the function?
Answer: Option D
Step-by-step explanation:
Step-by-step explanation:
As we know domain of a function is represented by x values on the graph and y values represents the range of the function.
From the given table domain will be the set of all real numbers.
Range of the same function will be y > 4
Option D is the answer. there you go o(* ̄︶ ̄*)o it was hard to but now its easy
HELP ME PLEASE!!!!! FAST ASAP HELP
PICTURE ATTACHED
A company logo is made up of a desire and two identical triangles as shown in this image
What is the area of the logo
The area of the logo is given as 139 cm
How to solve for the areaIn order to get the area of the shape, i would have to get the area of the triangles first
area of a triangle = 1/2 b * h
base = 9 / 2 = 4.5
h = 6
area = 1/2 * 9 * 6
= 27
Area of 2 triangle = 2 x 27
= 58
The are aof the square = a * a
= 9 * 9
= 81
The total area of the logo is given as 81 + 58
= 139 cm
Read more on area of a triangle here"https://brainly.com/question/17335144
#SPJ1
What is the equation of the line that passes through the point (-5,7)(−5,7) and has a slope of -1/5 ?
Answer:
y=-1/5x+6
Step-by-step explanation:
equation of the line that has a slope of -1/5
=> equation of the line is y= -1/5x + b
it passes through the point (-5;7) => 7= -1/5.(-5) + b
=> b= 6
=> equation of the line is y= -1/5x + 6
michael is examining a data set and trying to determine which category he can transform into a dummy variable. of the four variables, employee number, pay rate, hire date, and sex, which is the best fit to use a dummy variable?
Of the four variables, employee number, pay rate, hire date, and sex, the "Sex" variable is the best fit to use as a dummy variable.
The variable "Sex" is the best fit to use as a dummy variable. A dummy variable is used to represent a categorical variable with a numerical value, such as 0 or 1. In this case, "Sex" is a categorical variable with two categories (male and female) and can be transformed into a dummy variable with values 0 or 1 to represent the categories. The other variables, Employee Number, Pay Rate, and Hire Date, are not categorical variables and would not be appropriate to use as dummy variables.
Read more about variables:
brainly.com/question/15158734
#SPJ4
Question 16 of 20
To the nearest hundredth, what is the circumference of a circle with a radius
of 7 units?
A. 43.98 units
B. 21.99 units
C. 35.75 units
D. 153.94 units
Answer:
43.98
Step-by-step explanation:
The circumference of a circle with a radius of 7 units is approximately 43.98 units, which corresponds to option A.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
Given that the radius of the circle is 7 units, we can substitute this value into the formula:
To find the circumference of a circle, we can use the formula C = 2πr, where C represents the circumference and r represents the radius.
C = 2π(7) = 14π
Use the approximation π ≈ 3.14:
C ≈ 14(3.14) = 43.96
Rounding this value to the nearest hundredth, we get approximately 43.98 units.
Therefore, the circumference of a circle with a radius of 7 units is approximately 43.98 units.
Learn more about the Circumference of the circle here:
brainly.com/question/19794723
#SPJ7
A cereal box says that now it contains 40% more. Originally, it came with 24 ounces of cereal. How much cereal does the box come with now?
Answer:
36 oz
Step-by-step explanation:
multiply 24 by 104% because there is the original amount and 40% more
A 50kg ball rolls off a building it is going 5 m/s when it hits the ground. How tall is the building
Answer:
1.25m
Step-by-step explanation:
s=ut+1/2gt^2
Newton's second law of motion
F=ma
50x10
500N
500/50
g/a=10m/s^2
u=0m/s
s= 1/2gt^2
v=u+gt
5=0+(10t)
5=10t
t=0.5s
s=0.5×10×(0.5)^2
=1.25m
Given & Proof
*Hard*
Answer:
Step-by-step explanation:
an hyperboloid is a 3d shape whose cross sections are hyperbolas. a nuclear cooling tower is in the shape of a portion of a hyperboloid. a cross section of the cooling tower can be modeled by the hyperbola shown below, centered at the origin and opening left/right. if the smallest diameter of the cooling tower is 180 m and the diameter is 195 m at its highest point, 80 m above, write the equation of the hyperbola.
The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.
We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.
Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).
The left/right opening of the hyperbola indicates that the primary axis is horizontal.
The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.
The primary axis' 195 m length and the diameter at its highest point are matched.
The hyperbola's highest point is 80 metres above the centre.
These characteristics allow us to write the hyperbola's equation in standard form:
(x - h)²/a² - (y - k)²/b² = 1
Where (h, k) represents the center of the hyperbola.
Substituting the given values:
Center: (h, k) = (0, 0)
Minor axis: 2a = 180 m, so a = 90 m
Major axis: 2b = 195 m, so b = 97.5 m
Vertical shift: c = 80 m
Now we can write the equation of the hyperbola:
x²/90² - y²/97.5² = 1
Simplifying, we have:
x²/8100 - y²/9506.25 = 1
To learn more about hyperbola link is here
brainly.com/question/19989302
#SPJ4
x-1/(x+1)(x-5)
In 10 words or fewer, tell what value of x will make the above rational
expression equal to zero.
Answer:
x=1
Step-by-step explanation:
x-1/(x+1)(x-5)
When the numerator is equal to zero and the denominator is not equal to zero
x-1= 0
x=1
an operations manager has carefully examined the 1500 parts produced in his factory and classified them into 30 families with geometric similarities using codes that contain design attributes. this is an example of
An operations manager has carefully examined the 1500 parts produced in his factory and classified them into 30 families with geometric similarities using codes that contain design attributes. This is an example of: group technology.
What is group technology?Group technology is a manufacturing philosophy that seeks to improve efficiency and productivity by grouping similar parts together and standardizing their production processes.
By grouping similar parts together, manufacturing processes can be standardized and streamlined, reducing the time and cost associated with producing each part. This approach is particularly effective in high-volume manufacturing operations where a large number of parts are produced repeatedly.
In this case, the operations manager has identified 30 families of parts with geometric similarities and used codes that contain design attributes to classify them. By doing so, the manager has created a basis for grouping similar parts together and standardizing their production processes. This can lead to a more efficient and cost-effective manufacturing operation.
Learn more about group technology here:https://brainly.com/question/29033848
#SPJ1
A Linear programming problem has the following three constraints: 15X+ 31Y<=465;13X+15Y=195; and 17X−Y<=201.4. The objective function is Min 14X+21Y. What combination of X and Y will yield the optimum solution for this problem? a. 15,0 b. unbounded problem c. 12,2.6 d. infeasible problem e. 0,13
The combination of X = 12 and Y = 2.6 will yield the optimum solution for this linear programming problem, with a minimum value of 310.4 for the objective function. The correct answer is option c.
To solve this linear programming problem, we need to find the combination of X and Y that will yield the optimum solution while satisfying all the given constraints. Let's analyze each option:
a. 15,0: If we substitute these values into the constraints, we can see that the first constraint is not satisfied: 15(15) + 31(0) = 225 ≠ 465. Therefore, this option does not yield the optimum solution.
b. Unbounded problem: An unbounded problem occurs when there are no constraints on the variables, allowing them to increase or decrease infinitely while still improving the objective function. In this case, there are constraints on the variables X and Y, so the problem is not unbounded.
c. 12,2.6: Substituting these values into the constraints, we find that all the constraints are satisfied:
First constraint: 15(12) + 31(2.6) = 465 (satisfied)
Second constraint: 13(12) + 15(2.6) = 195 (satisfied)
Third constraint: 17(12) - 2.6 ≤ 201.4 (satisfied)
Now, let's calculate the objective function for this option: 14(12) + 21(2.6) = 310.4. Since the objective function is to minimize, this option provides the optimum solution with a value of 310.4.
d. Infeasible problem: An infeasible problem occurs when there is no feasible solution that satisfies all the constraints. In this case, we have found a feasible solution in option c, so the problem is not infeasible.
e. 0,13: If we substitute these values into the constraints, we can see that the third constraint is not satisfied: 17(0) - 13 > 201.4. Therefore, this option does not yield the optimum solution.
Learn more about objective function here:
https://brainly.com/question/33272856
#SPJ11
Kevin drove from Glasgow to Newcastle at an average speed of 60 mph for 2 hours and 30 minutes. He then drove from Newcastle to Nottingham at an average speed of 55 mph for 3 hours. Work out how many miles Kevin travelled in total.
Kevin traveled a total of 315 miles in the journey from Glasgow to Newcastle and then to Nottingham.
To calculate the total distance Kevin traveled, we need to find the distance traveled in each leg of the journey and then add them together.
First, let's calculate the distance from Glasgow to Newcastle.
Kevin drove at an average speed of 60 mph for 2 hours and 30 minutes, which is equivalent to 2.5 hours.
Distance from Glasgow to Newcastle = Speed \(\times\) Time
= 60 mph \(\times\) 2.5 hours.
= 150 miles.
Next, let's calculate the distance from Newcastle to Nottingham.
Kevin drove at an average speed of 55 mph for 3 hours.
Distance from Newcastle to Nottingham = Speed \(\times\) Time.
= 55 mph \(\times\) 3 hours.
= 165 miles.
Finally, to find the total distance traveled, we add the distance from Glasgow to Newcastle and the distance from Newcastle to Nottingham:
Total distance traveled = Distance from Glasgow to Newcastle + Distance from Newcastle to Nottingham
= 150 miles + 165 miles.
= 315 miles.
For similar question on distance.
https://brainly.com/question/23848540
#SPJ8
The two polygons below are similar. Find the length of the missing side of the polygon below.
Answer:
15
Step-by-step explanation:
10.5 x (20/14)=14.99999999999...=15
For a recent paint job, Josh mixed red and white paint to make two different shades of pink. When the job was done, Josh ended up with leftover paint: 5 gallons of dark pink paint (80% red) and 4 gallons of light pink paint (30% red). Josh wants to make a medium pink color (50% red) to paint his daughter's bedroom. He will need 3 gallons to completely cover the walls. How much of each of the leftover paints should Josh mix to achieve his desired color?
? gallons of dark pink paint
? gallons of light pink paint
Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.
To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.
Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.
The total amount of paint needed is 3 gallons, so we have the equation:
x + y = 3
The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:
(80/100)x + (30/100)y = (50/100)(x + y)
Simplifying this equation, we get:
0.8x + 0.3y = 0.5(x + y)
Now, we can solve this system of equations to find the values of x and y.
Let's multiply both sides of the first equation by 0.3 to eliminate decimals:
0.3x + 0.3y = 0.3(3)
0.3x + 0.3y = 0.9
Now we can subtract the second equation from this equation:
(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)
-0.5x = 0.9 - 0.5x - 0.5y
Simplifying further, we have:
-0.5x = 0.9 - 0.5x - 0.5y
Now, rearrange the equation to isolate y:
0.5x - 0.5y = 0.9 - 0.5x
Next, divide through by -0.5:
x - y = -1.8 + x
Canceling out the x terms, we get:
-y = -1.8
Finally, solve for y:
y = 1.8
Substitute this value of y back into the first equation to solve for x:
x + 1.8 = 3
x = 3 - 1.8
x = 1.2
Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.
for such more question on medium
https://brainly.com/question/14532771
#SPJ8
Adult tickets to a play cost $22 tickets for kids cost $15. Tickets for a group of 11 cost a total of $228. How many children and how many adults went to the play?
Answer:Number of children = 2 and number of adults = 9 attended the play
Step-by-step explanation:
Step 1
Let the number of children be represented as x
and the number of adults in the group be represented as as y
such that the total number of the group that went to the play
= x+y=11--- equation 1
And the total cost paid for the play will be expressed as
15x+ 22y= 228------ equation 2
Step 2-- Solving
x+y=11--- equation 1
15x+ 22y= 228------ equation 2
B y elimination method, multiply equation 1 by 15 to give equation 3 and then subtract from equation 2
15x+ 22y= 228------ equation 2
15x+15Y= 165----- equation 3
7y=63
y= 63/7= 9
y= adults = 9
therefore x = number of children will be
x+y=11
x+ 9=11
x= 11-9= 2
In the group that attended the play, Number of children = 2 and number of adults = 9
no links will mark BRAINLIEST
Answer:
1 = natural numbers
2 = 1
3 = 0
4 = -7/5
5 = NO
6 = 1 and -1
7 = 1/5
8 = x
NEED HELP ASAP GIVING 60 POINTS AND BRAINLIEST !!!What is the algebraic expression for the following word phrase: the quotient of j and 8?
A. J - 8
B. J + 8
C. J/8
D. 8J
Find the Circumference of the circle. Leave your answer in terms of TT
Formula: C = 2
Plsss help nowww
Answer:
C = 18π m
Step-by-step explanation:
The circumference (C) of the circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 9 = 18π
Which is greater 55.5% or 3/5
Answer:
3/5
Step-by-step explanation:
3 divided by 5 is 0.6, which translates to 60%.
55.5% < 60%
Answer:
3/5 is the greater .
I hope it will help you. Have a great day ahead.
Evaluate the following if a = 3,b= -2 and c = 1
a3 - 2bc +5ac
Answer:
28
Step-by-step explanation:
(3)×3 - 2×(-2)×(1) + 5×(3)×(1)
9 - -4 + 15 = 28
Answer:
46
Step-by-step explanation:
Given
a³ - 2bc + 5ac ← substitute values for a, b, c into the expression
= 3³ - (2 × - 2 × 1) + (5 × 3 × 1)
= 27 - (- 4) + 15
= 27 + 4 + 15
= 46
A Mika rode her bike around a trail in the park.
The trail is 3 miles long. Mika rode around the
trail 4 times. How many miles did she travel in all?
Answer:
12 miles
Step-by-step explanation:
Total miles = Length of trail ×
Number of times she rode
Total miles = 3 miles × 4 times
Total miles = 12 miles
Mika traveled a total of 12 miles.
Which of these expressions is equivalent to 30b2?
A 3b + 10b
B 3b. 10b
c9b +21b
D 9b21b
Answer:
B) 3b. 10b
Step-by-step explanation:
B) 3b. 10b = (3x10)(bxb) = 30b²
can yall please help me with this?
4.543, \(4\frac{11}{20}\),4.57, 37/8 is the order from least to greatest
The given numbers are 4.543, 4.57, \(4\frac{11}{20}\), 37/8
We have to order from least to greatest
Let us find the decimal values which are given in fraction form
\(4\frac{11}{20}\) = 91/20
= 4.55
Now let us find 37/8 in decimal form'
37/8 = 4.625
Now 4.543, 4.57, 4.55, 4.625 arrange from least to greatest
By comparing the decimal values we get an order from least to greatest is 4.543, 4.55, 4.57, 4.625
Hence, 4.543, \(4\frac{11}{20}\),4.57, 37/8 is the order from least to greatest
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ1
What is 6 divide by 22.2 in long divison?
Answer:
0.27027027027
Step-by-step explanation:
that is 6 divided by 22.2
Start by setting it up with the divisor 6 on the left side and the dividend 222, The divisor (6) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top, Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.