Answer:
Approximately 42.42%
Step-by-step explanation:
If you subtract 42.42% from 33 it equals approx 19.
Write an algebraic expression to represent the pay (in dollars) for working "x" hours at a rate of eight dollars and seventy-five cents per hour. A) 8.75x B) 875x C) 8.75 x D) 875 x
Solve using perfect square factoring patterns. y2 + 16y + 64 = 0 {8} {0, –1} {–8} {8, –8}
Answer:
y^2 + 16y + 64 = 0
(y + 8)(y+8) = 0
y + 8 = 0
y = -8
y + 8 = 0
y = -8
Step-by-step explanation:
40. A car stereo originally cost $268. It is now being sold for 85% of its original price. How much does
the car stereo cost now?
Answer:
The stereo is now being sold for $227.80.
Step-by-step explanation:
To calculate percentage discounts, multiply the original price (268) by the discount percentage (.85). Make sure to put move the percentage value two places to the right before multiplying, as percentages are percentages of a whole.
268 * .85 = 227.8
Area and Triangles:Question 1
A pennant in the shape of a triangle has a base of 12 inches and a
height of 30 inches. What is the area of the pennant?
Answer:
A =180 in^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
The base is 12 and the height is 30
A = 1/2 *12*30
A = 1/2 *360
A =180 in^2
Please Help!!!
The Barber family just left the local pet store with Lucky, their new family dog. The pet store owner told the Barber family that for the next six months, Lucky will grow at an average rate of four pounds per month. Currently, Lucky is three months old and weighs five pounds.
Age, in months 3 4 5 6 7 8 9
Weight, in pounds 5
Part A: Complete the given table that represents Lucky's current weight, in pounds, as a function of his age, in months.
Part B: If Lucky continues to grow at the rate of 4 pounds per month beyond the expected six months, how much will Lucky weight by time he is one year old?
Answer:
Part A
Months, Pounds
3,5
4,9
5,13
6,17
7,21
8,25
9,29
Part B
1 year = 12 months
If we continue the chart it would look like this:
10,33
11,37
12,41
Lucky will weigh 41 pounds by 1 year.
Hope this helps!
Final answer:
Lucky will weigh 41 pounds by the time he is one year old.
Explanation:
To complete the table representing Lucky’s current weight as a function of his age, we'll calculate Lucky's expected weight at each month by using the growth rate of four pounds per month. Starting with Lucky's current weight at three months old, which is five pounds:
Age 4 months: 5 pounds + (1 month * 4 pounds/month) = 9 pounds
Age 5 months: 5 pounds + (2 months * 4 pounds/month) = 13 pounds
Age 6 months: 5 pounds + (3 months * 4 pounds/month) = 17 pounds
Age 7 months: 5 pounds + (4 months * 4 pounds/month) = 21 pounds
Age 8 months: 5 pounds + (5 months * 4 pounds/month) = 25 pounds
Age 9 months: 5 pounds + (6 months * 4 pounds/month) = 29 pounds
Continuing with the growth rate of four pounds per month, by the time Lucky is one year old, which is 12 months, the calculation would be:
Lucky's weight at one year old = initial weight + (growth over months)
12 months old: 5 pounds + (9 months * 4 pounds/month) = 41 pounds.
Will give brainliest!!! Determine the answer to (−5) + 4 and explain.
Answer:
The answer is -1 because adding onto a negitive number makes the number go towards 0
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
So, if you have 5 negatives (A) and 4 positives (B) and pair them together:
A B A B A B A B A
You'll see that you have one extra A or -1 leftover.
So, -5 + 4 = -1
Monday Night Football has been thrilling fans and topping the television ratings since 1969. As of the 1993 season, the San Francisco 49ers had appeared on Monday Night Football 35 times. The Miami Dolphins had appeared the most times, with 11 more appearances than the 49ers. How many times had the Dolphins appeared?
Answer:
The answer is 46. 35+11=46
Hope i could help! :D
Step-by-step explanation:
By the 1993 season, the Miami Dolphins had appeared on Monday Night Football 46 times.
Explanation:To solve this question, we are given that the San Francisco 49ers had appeared on Monday Night Football 35 times by the 1993 season. We are also informed that the Miami Dolphins had made 11 more appearances than the 49ers. Therefore, to find the total number of times that the Miami Dolphins had appeared, we simply need to add 11 to the 49ers' appearances.
So, 35 (49ers' appearances) + 11 (additional Dolphins' appearances) = 46.
This means that by the 1993 season, the Miami Dolphins had appeared on Monday Night Football a total of 46 times.
Learn more about Number of Appearances here:https://brainly.com/question/35681337
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Given the function f(x)=x^2-4x-1 determine the average rate of change of the function over the interval -4
Answer:
- 1
Step-by-step explanation:
The average rate of change in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [4, 7 ], thus
f(b) = f(7) = 7² - 4(7) - 1 = 49 - 28 - 1 = 20
f(a) = f(- 4) = (- 4)² - 4(- 4) - 1 = 16 + 16 - 1 = 31
average rate of change = [tex]\frac{20-31}{7+4}[/tex] = [tex]\frac{-11}{11}[/tex] = - 1
PLEASE HELP, DUE TODAY!!! Whoever answers first I will mark as brainliest.
The volume of a large aquarium is 525 yd3. It is 16 2/3 yd wide and 2 4/5 yd high. What is the length of the aquarium?
Answer:
45/4
Step-by-step explanation:
Volume = h x w x l
First multiply the numbers you have
16 2/3 x 2 4/5= 140/3
Then divide the volume.
525 ÷ 140/3 = 45/4
45/4
The answer the book gave was (1/2, -2)
I was getting close answers as I work it differently but can't seem to work it out to become the answer above...
Answer:
(x, y) = (1/2, -2)
Step-by-step explanation:
Many people find it convenient to work these problems by eliminating fractions as a first step.
Here, you can do that by multiplying the first equation by 4
4(1/2x +2y) = 4(-15/4)
2x +8y = -15
From here, there are a number of possibilities for arriving at a solution.
__
Multiply the first equation by 2 and you have ...
4x +16y = -30
The second equation says you can replace the first term with -y:
-y +16y = -30
15y = -30
y = -30/15 = -2
Substituting this value into the second equation gives ...
4x = -(-2) = 2
x = 2/4 = 1/2
The solution is (x, y) = (1/2, -2).
__
Alternate solution
You can rearrange the second equation to give an expression for y:
y = -4x
Then, substitute this into the first equation:
(1/2)x +2(-4x) = -15/4
(-15/2)x = -15/4
x = (-15/4)/(-15/2) = 2/4 . . . . . . divide by the coefficient of x
x = 1/2
4(1/2) = -y = 2 . . . . . substitute for x in the second equation
y = -2 . . . . . . . . . . . . multiply by -1
_____
Additional comments on problem solving
I find the key to working troubling problems is to be very meticulous. Make certain you follow the rules of algebra: anything you do to one side of the equation must also be done to the other side. I find it easier to think in those terms when moving stuff around.
Some folks would say, "move this term over there and ...". I like to think of it as "subtract this term from both sides of the equation."
It also helps to be careful when dealing with fractions. Make sure you know how to add, subtract, multiply, and divide fractions. You should be just as able to handle that arithmetic as with integers or decimals. Use a calculator if your skills are shaky.
As you may notice, a graphing calculator can help you verify your answer.
Given the function g(x) = -x^2+ 2x + 8, determine the average rate of change of
the function over the interval -3 < x < 2.
Answer:
3
Step-by-step explanation:
The average rate of change of g(x) in the closed interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
Here [ a, b ] = [ - 3, 2 ], thus
g(b) = g(2) = - 2² + 2(2) + 8 = - 4 + 4 + 8 = 8
g(a) = g(- 3) = - (- 3)² + 2(- 3) + 8 = - 9 - 6 + 8 = - 7
average rate of change = [tex]\frac{8-(-7)}{2-(-3)}[/tex] = [tex]\frac{15}{5}[/tex] = 3
A particular type of Gasoline is suppose to have a mean octane rating greater than 90%. Five measureaments are taken of the octane rating, as follow:
90.1 88.8 89.5 91.0 92.1
Can you conclude that the mean octane rating is great er than 90%?
Answer:
Yes
Step-by-step explanation:
The mean octane rating will be 90.3
Hope this helps!
Answer:
Yes
Step-by-step explanation:
The mean is just the average, and it's calculated by adding up all the data set numbers and dividing that sum by the number of numbers:
(90.1 + 88.8 + 89.5 + 91.0 + 92.1) / 5 = 451.5 / 5 = 90.3
Our average/mean is 90.3%, which is clearly greater than 90%. So, yes, we can conclude that the mean octane rating is greater than 90%.
Hope this helps!
for desert you can choose apple cherry blueberry or peach pie to eat and milk or juice to drink how many different possibilities of one pie and one beverage are possible
Answer:
8 possibilities
Step-by-step explanation:
The pies we have to choose from are 1)Apple 2)Cherry 3)Blueberry or 4)Peach.
The beverages we have to choose from are 1)Milk and 2)Juice.
Here are the possibilities:
Apple + Juice
Apple + Milk
Cherry + Juice
Cherry + Milk
Blueberry + Juice
Blueberry + Milk
Peach + Juice
Peach + Milk
So we have a total of 8 possibilities for one pie and one beverage.
Answer:
8 outcomes
Step-by-step explanation:
F—1(-2)
F(-4)
F(f-1(-2))
Answer:
= -2
Step-by-step explanation:
F(f^-1(x)) = x so in the case of yur question the -2 is in the place of the x in the explanation
The value of [tex]f^{-1}[/tex](-2) is -4 , f(-4) is -2 and f[ [tex]f^{-1}[/tex](-2)] is also -2.
What is the inverse of a function?The inverse of a function is basically a reverse function or undo of the function.
For example y = f(x) then inverse will be x = f(y).
It means in the inverse function we need to interchange x and y.
Another example y = 3x² ⇒ x = √(y/3) will be the inverse.
Given the function,
f(x) = 1/2x and [tex]f^{-1}[/tex](x)= 2x
Now,
[tex]f^{-1}[/tex](-2) = 2(-2) = -4
f(-4) = 1/2 (-4) = -2
Now,
Operation of f is that it will come x variable down,
So,
f[ [tex]f^{-1}[/tex](-2)] = f(-4)
f(-4) = -2
Hence "The value of [tex]f^{-1}[/tex](-2) is -4 , f(-4) is -2 and f[ [tex]f^{-1}[/tex](-2)] is also -2".
For more information about the inverse of a function,
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The given question is incomplete, complete question is ;
Use f(x) = 1/2x and f-1(x)= 2x to solve the problems. f1(-2) f(-4) f(f-1(-2))
Relative to the circle with the equation x^2 + y^2 = 4 how has the circle with the equation (x+5)^2 + (y-6)^2 = 4 been shifted, what is the radius of the circle
Answer:
the circle is shifted -5 on the x and +6 on the y. Center is (-5,6). Radius = 2.
Step-by-step explanation:
The right rectangular prisms are similar. Which statements are correct? Check all that apply. The angles in the smaller prism measure 90 degrees. The perimeter of the rectangular bases changes by a factor of 2. The surface area changes by a factor of 8. The larger prism has twice the volume of the smaller prism. The area of the rectangular bases changes by a factor of 4. PLEASE HURRRYYYYY!!!!!
Answer:
- the angles in the smaller prism measure 90 degrees
- the perimeter of the rectangular bases changes by a factor of 2
-the area of the rectangular bases changes by a factor of 4
Step-by-step explanation:
I just got it right
Answer:
the angles in the smaller prism measure 90 degrees
the perimeter of the rectangular bases changes by a factor of 2
the area of the rectangular bases changes by a factor of 4
Step-by-step explanation:
a family has two cars. the first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. during one particular week, the two cars went a combined total of 725 miles, for a total gas consumption of 40 gallons. how many gallons were consumed by each of the two cars that week?
Car A consumes 25 gallon and car B consumes 15 gallon.
Step-by-step explanation:
Given,
The fuel efficiency of car A = 20 miles per gallon.
The fuel efficiency of car B = 15 miles per gallon.
In a week, two cars went 725 miles and consumed 40 gallons.
To find the consumption of each car in that week.
Let,
Car A consumed x gallon
Car B consumed y gallon.
According to the problem,
x+y = 40 ----- (1)
20x+15y = 725
or, 4x+3y = 145 -------- (2)
From (1) we get, x = 40-y
Putting the value of x in (2) we get,
4(40-y)+3y = 145
or, 160-4y+3y = 145
or, -y = 145-160
or, y = 15
From (1) we get, x = 40-15 = 25
Hence,
Car A consumes 25 gallon and car B consumes 15 gallon.
3x+6y=12
x +5y=10
x = 10 – 5y
3(10 – 5y)+6y=12
30–15y+6y=12
30-9y= 12
-9y=-18
y=2
Joey has to solve the system of equations using substitution. He had completed the work shown. What should be his next step
*WILL MAKE BRAINLIEST*
What is the scale factor of this dilation?
a) 1/5
b) 1/2
c)1
d) 2
Answer: 1/2
Step-by-step explanation: The scale factor of the dilation is 1/2 because it's 1/2 of the other triangle. As you can see it used to be 10, but now it's 5.
Have a good day :D
Answer:
From Triangle ABC to Triangle A'B'C', the scale factor is 1/2
b) 1/2
Step-by-step explanation:
Side Length of Line Segment AC is 8 units
Side Length of Line Segment AB is 6 units
Side Length of Line Segment of BC is 10 units
Side Length of Line Segment A'C' is 4 units
Side Length of Line Segment A'B' is 3 units
Side Length of Line Segment B'C' is 5 units
Checking:
A'C'/AC=4/8=1/2 simplified
Hence, the answer is 1/2 as the scale factor for the dilation.
The Bar Chart shows the weights of 10 dogs entered in a local dog show,
Which statement is the about this data set?
Can you please help me ?
What is the minimum value of the objective function C = 4x + 9y?
Answer:-24
explain how you know:
Since xy = 4, we have y=4/x. Substituting in (1) we get f(x) = 4x+(36/x) …….(2)
Differentiating we get f ' (x) = 4 - (36/x^2)…..(2)
For maxima or minima, f ‘ (x) = 0
=> 4 - (36/x^2) =0 => (4x^2 - 36)/x^2 = 0 which gives x= +/- 3
Differentiating (2), f ‘’ (x) = 72/x^3
When x= +3 , f ‘’ (x) is clearly +ve. Therefore f(x) at (2) gives minima and the minimum value is 24.
When x= -3, f ‘’ (x) is -ve. Therefore, f(x) has maxima at x= -3. The maximum value is -24.
Note: You may be surprised to observe that the minima is more than the maxima. This is due to the fact that the function is discontinuous at x= 0, the graph of f(x) comprising of two branches, one in the first quadrant giving the minima (= +24) and another in the third quadrant that gives maxima (= -24)
Answer:
its 125 on edg2020 ;)
Step-by-step explanation:
Solve the following systems of 3-variable linear equations.
50 points
Answer:
x = 9/25
y = 7/25
z = 4/25
Step-by-step explanation:
2x + y = 1 .......(1)
3y + z = 1 ........(2)
x + 4z = 1 ........(3)
Elimination 1 and 2
2x + y = 1 | ×3 |
3y + z = 1 | ×1 |
6x + 3y = 3
3y + z = 1
___________--
6x - z = 2 .............. (4)
Elimination 3 and 4
x + 4z = 1 | ×6 |
6x - z = 2 | ×1 |
6x + 24z = 6
6x - z = 2
___________--
25z = 4
z = 4/25
Elimination 3 and 4
x + 4z = 1 | ×1 |
6x - z = 2 | ×4 |
x + 4z = 1
24x - 4z = 8
___________+
25x = 9
x = 9/25
Subsitution 1
2x + y = 1
2(9/25) + y = 1
18/25 + y = 1
y = 1 - 18/25
y = 25/25 - 18/25
y = 7/25
Answer:
x = 9/25
y = 7/25
z = 4/25
Step-by-step explanation:
:D
Someone Please help
I’ll give brainliest x
Answer:
7)
a. a=5
b. b=7
c. y=10
d. z=6
Step-by-step explanation:
hope this helps:)
QT
is the midsegment of the trapezoid PRSU.
If RS=2w+21, QT=4w+27, and PU=w+38, what is the value of w?
Answer:
w=1
Step-by-step explanation:
QT=(RS+PU)/2
4w+27=(2w+21+w+38)/2
3w+59=2*(4w+27)=8w+54
8w-3w=59-54
5w=5
w=1
Final answer:
After setting up an equation for the average, we calculated that the value of w is 5.
Explanation:
The question involves solving for a variable w in the context of a trapezoid and its midsegment.
We know that a midsegment of a trapezoid is parallel to the bases and its length is the average of the lengths of the two bases.
Given RS=2w+21, QT=4w+27 (midsegment), and PU=w+38, we set up the equation (2w+21 + w+38)/2 = 4w+27, since the length of the midsegment QT is the average of the lengths of the bases RS and PU.
Simplifying this equation:
Add the like terms of the bases: (2w + w) + (21 + 38) = 3w + 59.Divide the sum by 2 to find the average: (3w + 59) / 2.Set this average equal to the midsegment QT: (3w + 59) / 2 = 4w + 27.Multiply each side by 2 to get rid of the fraction: 3w + 59 = 2(4w + 27).Expand the right side of the equation: 3w + 59 = 8w + 54.Subtract 3w from both sides: 59 = 5w + 54.Subtract 54 from both sides to solve for w: w = 5.Therefore, the value of w is 5.
How do I tell if these are natural numbers, whole numbers, integers, or rational numbers? ( Photo for reference)
Step-by-step explanation:
1. divide -12 by -5
you get 2.4 this is a rational number
2. add 3/7 and -3/8 you get a long decimal so it's irrational
What type of decimal is the following number?
0.1313
Answer:
it is repeating decimal.
Answer: repeating
Step-by-step explanation:
An author signed copies of her newest book for 57 minutes until the bookstore closed at 5:00 What time did the author begin signing books?
4:03
4:57
5:03
5:57
Answer:
4:03
Step-by-step explanation:
JUst please help fast because this a quizziz
Answer:
b
Step-by-step explanation:
use slope intercept form
Answer:
2
Step-by-step explanation:
Since you need it fast, I am not going to explain.
(2, 4) - (6, 12) = (-4, -8)
-8/-4 = 2
Mrs. Hendricks used gallons of gas on a business trip. Her averages 25miles per gallon. How may miles did she travel?
Answer:
625 miles
Step-by-step explanation:
This is because, since each 25 miles takes one gallon 25 gallons would mean you would go 25 times 25 miles which is 625 miles in all.
If a rational exponent represents the cube root of x^m, where m is a positive integer, how does the rational exponent change as m increases?
The rational exponent ______ as m increases.
a. increases
b. decreases
Answer:
Option B
Increases
Step-by-step explanation:
to solve this problem, let us plug in figures to replace the variables in the equation.
Let y be equals to the rational exponent which represents the cube root of x^m,
The equation is given as y =[tex]\sqrt[3]{x^{m}}[/tex]
let x= 3
and m =, 3, 4, and 5
when m = 3, we have [tex]y =\sqrt[3]{3^{3}} =3[/tex]
when m = 4, we have [tex]y =\sqrt[3]{3^{4}} =4.33[/tex]
when m = 5, we have [tex]y =\sqrt[3]{3^{5}} =6.24[/tex]
As we can see, the values of y are increasing. Hence, we can say that the value of the rational exponent increases as y increases
Final answer:
As the positive integer m increases in the rational exponent expression for the cube root of [tex]x^m[/tex], the rational exponent itself increases. This is because the base x is being raised to a higher power, exemplified by [tex]x^{2/3[/tex] compared to [tex]x^{3/3[/tex], showing an increase in expression value.
Explanation:
If a rational exponent represents the cube root of [tex]x^m[/tex], where m is a positive integer, the form used to represent this is [tex]x^{m/3[/tex]. As m increases, the value of the expression increases because the base (x) is being raised to a higher power. Therefore, the correct answer to how the rational exponent changes as m increases is it increases.
For example, consider x to equal 8, and compare [tex]x^{2/3[/tex] (the cube root of 8 squared) to [tex]x^{3/3[/tex] (the cube root of 8 cubed).
As m increases from 2 to 3, the exponent changes from 2/3 to 3/3 (or 1), and thus the result of the expression goes from 4 to 8, illustrating that the expression's value increases with m.