Answer:
w = 120 + 5*(h-30)
Step-by-step explanation:
Part A;
We are informed that Andrew is paid $4 per hour for the first 30 hours he works each week and makes $5 per hour for each hour he works over 30 hours per week. This implies that the $4 per hour for the first 30 hours is fixed while the $5 per hour overtime depends on the number of extra hours worked.
If we let w denote the wage and h denote the hours worked per week, then;
$4 per hour for the first 30 hours; 4*30 = 120
The number of extra hours worked would be; h-30
w = 120 + 5*(h-30)
This is the function that gives Andrew’s total wages when he works more than 30 hours each week.
A ladder is 4 meters in length. Jonas places the ladder against a wall and it forms a 70 degree angle with the ground. What is the value of m, the approximate height in meters that the ladder reaches on the wall?
Answer:3.758
Step-by-step explanation:
Sin70= m/4
m= 4*sin70
m = 3.758
For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1?
for a rational expression the vertical asymptotes occur when the denominator equals 0, in this case that will be when x + a = 0.
now, if there were to be a vertical asymptote of x = 1, that simply means that
x = 1 ==> x - 1 = 0.
meaning that a = -1.
horizontal asymptotes occur when the denominator has a higher degree than the numerator OR when both have the same degree.
when the degree of the denominator is higher, then the only horizontal asymptote occurring is y = 0.
when the degrees are the same, then the horizontal asymptote occurs at the leading terms' coefficient fraction.
now, if this expression were to have a horizontal asymptote of y = 2, that simply means
[tex]\bf \cfrac{2x^m}{x+a}\implies \cfrac{2x^1}{1x^1+a}\implies \stackrel{\textit{horizontal asymptote}}{\cfrac{2}{1}\implies y=2}\qquad \textit{meaning m = 1}[/tex]
ANSWER
a=-1,m=1
EXPLANATION
The given function is
[tex]f(x) = \frac{2 {x}^{m} }{x + a} [/tex]
For this rational function to have a horizontal asymptote at y=2, the degree of the numerator must equal the degree of the denominator.
This implies that, we must have m=1.
For the function to have a vertical asymptote at x=1, then,
[tex]1 + a = 0[/tex]
This implies that,
[tex]a = 0 - 1[/tex]
[tex]a = - 1[/tex]
The correct choice is the third option.
Solve for b in the equation –b + 21 = –13.
A. b = 9
B. b = –9
C. b = 34
D. b = –34
Answer:
C. b = 34
Step-by-step explanation:
Given
-b+21= -13
To solve this type of equations that only involve one variable, we have to isolate the variable at on side of the equation. So, for the given equation
We will subtract 21 from both sides
-b+21-21=-13-21
-b= -34
As the minus sign is on both sides of the equation, it will be cancelled and
b=34
So, option C is the correct answer ..
The diameter of a circle is 8. What is the area of the circle in terms of pi?
Answer:
16pi
Step-by-step explanation:
A=(pi)r^2
A=(pi) 4^2
A=16pi
I need to find the perimeter.
Answer: 8x - 11
Step-by-step explanation:
(5x-28)+(2x+11)+(x+5)
combine like terms 5x, 2x, x = 8x
combine all regular numbers -28, 11, 5 = -11
So the answer is : 8x-11
A product costs $29.75 for 5 pounds. How much does it cost per ounce? (1 pound = 16 ounces)
Answer:
The product costs $0.37 per ounce.
Step-by-step explanation:
$29.75 for 5 pounds = x for 1 pound (Cross-Multiply)
5x/5 = $29.75/5
x = $5.95 per pound
$5.95 per pound/16 ounces = $0.37
$0.37 per ounce!
Answer:
$0.371875 does it cost per ounce.
Step-by-step explanation:
Use conversion:
1 pound = 16 ounces.
As per the statement:
A product costs $29.75 for 5 pounds.
In 5 pounds = product cost $ 29.75
then;
In 1 pound = [tex]\$\frac{29.75}{5}[/tex]
Using conversion we have;
In 16 ounces = [tex]\$\frac{29.75}{5}[/tex]
then;
in 1 ounces = [tex]\$\frac{29.75}{80} = \$0.371875[/tex]
Therefore, $0.371875 does it cost per ounce.
Express this decimal as a fraction.
Answer:
[tex]\large\boxed{1.\overline{21}=\dfrac{40}{33}}[/tex]
Step-by-step explanation:
[tex]x=1.\overline{21}\\\\x=1.212121...\qquad\text{multiply both sides by 100}\\\\100x=121.212121...\\\\\text{subtract x from 100x}\\\\100x-x=121.212121...-1.212121...\\\\99x=120\qquad\text{divide both sides by 99}\\\\x=\dfrac{120}{99}\\\\x=\dfrac{120:3}{99:3}\\\\x=\dfrac{40}{33}[/tex]
how many centimeters is a piece of paper that measures 12 in
The answer is:
The piece of paper measures 30.48cm (centimeters)
Why?We need to convert from inches to centimeters, we can do it using the following convertion factor:
[tex]1in=2.54cm[/tex]
Now, calculating we have:
[tex]12in*\frac{2.54}{1in}=30.48cm[/tex]
Hence, we have that the piece of papers measures 30.48cm (centimeters)
Have a nice day!
4. Samantha went out to eat with her
friends on Monday, Tuesday, Wednesday,
and Friday. She spent $5.65 on Monday,
$7.50 on Tuesday, $9.75 on Wednesday,
and $5.95 on Friday. How much
more money did Samantha spend on
Wednesday and Friday than on Monday
and Tuesday?
$28.85 (just add it if u dont get it)
On Wednesday and Friday she spent, $9.75+$5.95=$15.70
On Monday and Tuesday she spent, $5.65+$7.50= $13.15
Its a subtraction problem so $15.70-$13.15=$2.55
The answer is $2.55
I apologize if this is not what you meant.
The mean of a data is 52.4 and the standard deviation is 11.8.What percent of the data is between 40.6 and 64.2?
A.50%
B.68%
C.95%
D.99.7%
Answer:
B. 68%
Step-by-step explanation:
Any number within 1 positive or negative deviation of the mean represents 68% of normally distributed data.
Math explanation:
52.4+11.8=64.2
52.4-11.8=40.6
Your answer is b, 68%
7 example of independent event
8 pieces of fruit are drawn twice with replacement what is P
Answer:
7.
rolling two number cubes
8.
2/25
Step-by-step explanation:
7.
Events A and B are said to be statistically independent if the probability of A happening, P(A), in no way affects the probability of event B occurring, P(B);
P(A∩B) = P(A) P(B)
If A and B are independent the above equation is always true.
From the list given, rolling two number cubes is an example of independent events since the outcome from the first cube does not affect the outcome of the second cube.
8.
We are informed the bag contains 4 apples, 1 plum, 2 apricots, and 3 oranges. We are required to determine the following probability;
P(Apple then Apricot) given that the fruits are drawn with replacement.
The probability of drawing an apple from the bag is;
(number of apples)/(total number of fruits)
= 4/10 = 2/5
The probability of drawing an apricot from the bag given that the apple drawn is replaced is;
(number of apricots)/(total number of fruits)
= 2/10 = 1/5
Now, P(Apple then Apricot) = 2/5 * 1/5 = 2/25
20 points
Which expression is a polynomial?
A. 7/x^2
B. x - √ 7
C. 7/ √ x
D. √ 7x
Answer:
B.Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
[tex]A.\ \dfrac{7}{x^2}=7x^{-2}\qquad\bold{NOT}\\\\B.\ x-\sqrt7\qquad\bold{YES}\\\\C.\ \dfrac{7}{\sqrt{x}}=7x^{-\frac{1}{2}}\qquad\bold{NOT}\\\\D.\ \sqrt{7x}=\sqrt7\cdot\sqrt{x}=\sqrt7 x^\frac{1}{2}\qquad\bold{NOT}[/tex]
-x^1 -10x -24 = 0 I’ll melt your popsicle
I don't have popsicle but I'm sure you will melt by this answer.
[tex]
-x^1-10x-24=0 \\
x+10x+24=0 \\
11x=-24 \\
\boxed{x=\frac{-24}{11}}
[/tex]
Hope this helps. (please don't melt)
r3t40
Help me please please
It is in the hundredths place
Hundredths
Two places after the decimal is always the hundredths place.
help plz i dont know what to do
Answer:
The area of the irregular figure is 140 sq. ft.
Step-by-step explanation:
Triangle:
16-12=4
6 x 4 = 24
24 x 0.5 = 12
Triangle = 12
Rectangle:
16 x 8
= 128
Rectangle = 128
Total figure:
128+12
= 140
Plzz give me brainlist!!!
Adrian’s recipe for raisins muffins calls for 1 3/4 cups of raisins for one batch of muffins. Adrian wants to make 2 1/2 batches of muffins for a bake sale. How many cups of raisins will Adrian use?
(HAPPY EID TO ALL!!!)
Adrian will need 4 3/8 cups of raisins to bake 2 1/2 batches.
Convert the mixed fractions into improper fractions:
1 3/4 = 7/4
2 1/2 = 5/2
Multiplying fractions:
1) Multiply numerators
2) Multiply denominators
3) Simplify answer
7/4 * 5/2 = 7*5 / 4*2 = 35/8
35/8 can be simplified into a mixed fraction 4 3/8
Adrian needs to use 4 3/8 cups of raisins.
Answer:
4 3/8
Step-by-step explanation:
Step 1: Convert the numbers into improper fractions. To do this, multiply the denominator value by the whole number and then add the numerator to that product. 1 3/4 becomes 7/4 and 2 1/2 becomes 5/2.
Step 2: Multiply the fractions straight across. Multiply the numerators together and the denominators together. 7 * 5 is 35. 4 * 2 is 8. The improper fraction is 35/8.
Step 3: Convert the improper fraction to a mixed number. Do this by dividing the numerator by the denominator. 35/8 is 4 with a remainder of 3/8. 4 3/8 is the number of cups he will use to make his batches of muffins.
ASAP HELP PLEASE A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
A)
V = π(4.5h)2
B)
V = π(9h)2
C)
V = π(4.5)2h
D)
V = π(9)2h
Answer:
Option A, π(4.5)²
Step-by-step explanation:
Volume of a cylinder is-
V = πr²h
Substitute the value of the radius. (9 is the diameter of the base, so it needs to be half of it)
V = π(4.5)²h
Bring the "h" inside with 4.5
V = π(4.5h)²
Hope this helps
The volume of the cylinder is [tex]\pi (4.5)^{2} h[/tex] and thus option c) [tex]\pi (4.5)^{2} h[/tex] is the correct option
Given: a cylinder of diameter 9 cm and height h cm
To find: equation to find the volume of the cylinder
We know that the volume of a cylinder can be calculate by using the formula:
[tex]\text{volume} = \pi r^{2} h[/tex]
where r is the radius of the cylinder and h is the height
It is given that the diameter of cylinder is 9 cm so radius of the cylinder will be half of the diameter:
[tex]\text{radius} = \frac{9}{2} = 4.5[/tex] cm
Now putting the values in the formula of volume:
[tex]\text{volume} = \pi (4.5)^{2} h[/tex]
Therefore, the volume of the cylinder is [tex]\pi (4.5)^{2} h[/tex] and the option that is same as our answer is option C. So, option C) [tex]\pi (4.5)^{2} h[/tex] is the correct answer
Which statistic gives the most meaningful information about the central tendency of the data {23, 25, 26, 26, 27, 29, 29, 30, 450, 450, 450}?
Answer:
The median. Since there are some values in the data set that are arger than most, if you used the mean, the mean would not be a very accurate representation of the data set. When using median, the large numbers do not greatly effect the data set.
Step-by-step explanation:
The price of a pair of shoes is $63.20. The sales tax rate is 4.5 percent. How much sales tax would you pay if you bought these shoes?
Answer;
63.20 / .045 = $2.84
Answer:
63.20 / .045 = $2.84
Step-by-step explanation:
Write and solve the equation.
The sum of a number and twelve is thirty-five.
Which equation and solution is correct?
Write the equation as x – 12 = 35 and add 12 to both sides. The answer is 47.
Write the equation as x + 12 = 35 and subtract 12 from both sides. The answer is 23.
Write the equation as x + 12 = 35 and subtract 12 from 12. The answer is 35.
Write the equation as x – 12 = 35 and add 12 to 12. The answer is 24.
Answer:
B: x + 12 = 35 and subtract 12 from both sides. The answer is 23.
Step-by-step explanation
Equation of 'The sum of a number and twelve is thirty-five' is x + 12 = 35 and the solution is 23
How to write and solve the equation?Let the number be x
the sum of the numbers x and 12 means x + 12
The sum of a number x and 12 is 35 means x + 12 = 35
solution of x +12 = 35x + 12 = 35
subtract 12 from both sides
x + 12 - 12 = 35 - 12
x = 23
Therefore, the correct option is 'Write the equation as x + 12 = 35 and subtract 12 from both sides. The answer is 23.'
To learn more about solving equations, refer:
https://brainly.com/question/8806877
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A set of quiz scores is shown in the histogram below. The mean of the data set is 20.2, and the (population) standard deviation is 2.4.
PLEASE PLEASE PLEASE How many numbers in the data set are within 1 standard deviation of the mean?
13
14
15
16
Answer:
[tex]13[/tex]
Step-by-step explanation:
As the mean is 20.2 and the standard deviation is 2.4
The range within the first standard deviation is
(17.8,22.6)
This means that we can safely use the range of (18,22) as we cannot confirm whether the other values fall within the range.
Within this range there are
[tex]2+3+4+3+1=13[/tex]
The standard deviation of the mean is 13.
Standard deviation of the meanAs the mean is 20.2 and the standard deviation is 2.4
The range within the first standard deviation is (17.8,22.6)
This means that we can safely use the range of (18,22) as we cannot confirm whether the other values fall within the range.
Within this range there are
2 + 3 + 4 + 3 + 1 = 13
Therefore, the correct answer is option (a) 13.
To learn more about the standard deviation of the mean
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How do you simplify the expression “3x (2/x + 5) +4”?
Answer:
15x + 10
Step-by-step explanation:
distribute the 3x to the 2/x and 5 inside the parentheses:
3x(2/x) + 3x(5) + 4
multiply:
6x/x + 15x +4
There is x in the numerator and the denominator of 6x/x, so the xs cancel:
6 + 15x + 4
15x + 10
Answer:
15x+10
Step-by-step explanation:
3x (2/x + 5) +4
Distribute the 3x
3x*2/x + 3x*5 +4
6x/x + 15x +4
6+15x+4
Combine like terms
15x+10
What is the order of the mcu?
If your talking about just movies then...
Captain America the first avenger
Captain marvel
Black widow
Iron man
Iron man 2
Thor
The Incredible Hulk
Avengers
Iron man 3
Thor the dark world
Captain America the winter soldier
Guardians of the galaxy
Guardians of the galaxy vol 2
Avengers age of ultron
Ant-man
Captain America civil war
Black panther
Spider-man homecoming
Doctor Strange
Thor the dark world
Ant-man and the wasp
Avengers infinity war
Avengers endgame
Spider-man far from home
But if you mean all the movies, tv shows, and one-shots then...
Captain America the first avenger
Agent carter season one
Agent carter season two
Agent carter (one-shot)
Captain marvel
Black widow
Iron man
Iron man 2
A funny thing happened on the way to Thor’s hammer (one-shot)
Thor
The Incredible Hulk
The consultant (one-shot)
Avengers
Item 47 (one-shot)
Iron man 3
All hail the king (one-shot)
Agents of S.H.I.E.L.D. Season one (episodes 1-7)
Thor the dark world
Agents of S.H.I.E.L.D. Season one (episodes 8-16)
Captain America the winter soldier
Agents of S.H.I.E.L.D. Season one (episodes 17-22)
Guardians of the galaxy
Guardians of the galaxy vol 2
Daredevil season one
Agents of S.H.I.E.L.D. Season two (episodes 1-10)
Jessica jones season one
Agents of S.H.I.E.L.D. Season two (episodes 11-19)
Avengers age of ultron
Agents of S.H.I.E.L.D. Season two (episodes 20-22)
Daredevil season two
Luke cage season one
Ant-man
WHIH newsfront season one
Agents of S.H.I.E.L.D. Season three (episodes 1-19)
Iron fist season one
Captain America civil war
WHIH newsfront season two
agents of S.H.I.E.L.D. Season three (episodes 20-22)
The defenders season one
Agents of S.H.I.E.L.D. Season four (episodes 1-6)
Black panther
Spider-man homecoming
Agents of S.H.I.E.L.D. Season four (episodes 7-8)
Agents of S.H.I.E.L.D. Slingshot season one
Agents of S.H.I.E.L.D. Season four (episodes (9-22)
Doctor strange
Thor ragnarok
Inhumans season one
The punisher season one
Runaways season one
Agents of S.H.I.E.L.D. Season five (episodes 1-10)
Jessica jones season two
agents of S.H.I.E.L.D. season five (episodes 11-18)
cloak and dagger season one
Luke cage season two
Iron fist season two
Daredevil season three
Ant-man and the wasp
Avengers infinity war
The punisher season two
Avengers endgame
Spider-man far from home
Jessica jones season three
The order as of now is:
Captain America: The First Avenger (2011)
Iron Man (2008)
The Avengers (2012)
Captain America: The Winter Soldier (2014)
Guardians of the Galaxy (2014)
Avengers: Age of Ultron (2014)
Captain America: Civil War (2016)
Spider-Man: Homecoming (2017)
Thor: Ragnarok (2017)
Ant-Man and The Wasp (2018)
Avengers: Infinity War (2018)
How does the variable of Data Set A compare to the variability of Data Set B?
Data Set A: 18, 24, 29, 30, 39
Data Set B: 26, 29, 39, 40, 52
Select from the drop-down menus to correctly complete the statements.
Data Set A has Data Set B because the range of Data Set A is the range of Data Set B
Answer:
Data Set A has less variability Data Set B because the range of Data Set A has less range of Data Set B
Step-by-step explanation:
Data Set A: 18, 24, 29, 30, 39
Data Set B: 26, 29, 39, 40, 52
Variability means you have more range so....
Pepper Jackie has 5.8 kg of rainbow sprinkles. If she divides them equally into 8 star containers, how much will be in each star?
Answer:
725 grams
Step-by-step explanation:
You divide 5.8 kg by 8 (the star containers)
and the final answer is 0.725 kg or 725 grams
Find an equation for the nth term of the arithmetic sequence.
a10 = 32, a12 = 106 (2 points)
an = -301 + 37(n - 1)
an = -301 + 37(n - 2)
an = -301 + 37(n + 1)
an = -301 - 37(n + 1)
I hope this helps witb you.
Final answer:
To find the nth term of the arithmetic sequence, we calculated the common difference to be 37, and deduced the first term as -301. The equation for the nth term is an = -301 + 37(n - 1). Therefore, option a is correct answer.
Explanation:
To find an equation for the nth term of the arithmetic sequence given two terms, a10 = 32 and a12 = 106, we first need to determine the common difference. The common difference d in an arithmetic sequence is the consistent interval between consecutive terms, calculated by subtracting one term from the next. In this case:
d = a12 - a10
d = 106 - 32
d = 74
Since the terms are two positions apart, this common difference corresponds to two steps, meaning the common difference per step is 74 / 2 = 37.
Now, we know that the general formula for the nth term of an arithmetic sequence is:
an = a1 + (n - 1)d
Where a1 is the first term. To find a1, we can plug in the values for a10:
32 = a1 + (10 - 1)×37
32 = a1 + 9×37
32 = a1 + 333
a1 = 32 - 333
a1 = -301
Now, the equation for the nth term of the sequence is:
an = -301 + 37(n - 1)
Therefore, option a is correct answer.
The cover of the book is 28 centimeters long and 18 centimeters wide.what is the perimeter of the book cover
Answer:
the perimeter of the book cover is 504
:)
Step-by-step explanation:
An irregular polygon has its external angles as 28°,40°,120°,142° and x. Find the value of x
Answer:
X=30
Step-by-step explanation:
The whole polygon is 360 degrees so:
360-28-40-120-142=X, which is 30
The value of x = 30°.
What is an exterior angles of an Irregular Polygon?
As in the case with a regular polygon, an irregular polygon even contains exterior angles that count up to 360°. Each exterior angle in an irregular polygon even exists (180° - its linear pair). Therefore the exterior angles add up to 360°.
The entire external angle is equal to 360.
28° + 40° + 120° + 142° + x = 360°
Simplifying the above equation, we get
330° + x = 360°
x = 360°- 330°
x = 30°
Therefore, the value of x = 30°.
To learn more about Irregular Polygon
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A company did a quality check on all the packs of roasted almonds it manufactured. Each pack of roasted almonds is targeted to weigh 21.25 oz. A pack must weigh within 0.24 oz of the target weight to be accepted. What is the range of rejected masses, x, for the manufactured roasted almonds?
x < 21.01 or x > 21.49 because |x − 0.24| + 21.25 > 0
x < 21.25 or x > 21.49 because |x − 21.25| > 0.24
x < 21.01 or x > 21.49 because |x − 21.25| > 0.24
x < 21.25 or x > 21.49 because |x − 0.24| + 21.25 > 0
Answer:
x < 21.01 or x > 21.49 because |x - 21.25| > 0.24
Step-by-step explanation:
We know that each pack of almonds is targeted to weigh 21.25 oz.and a pack must weigh within 0.24 oz of the target weight to be accepted.
Assuming x to be the weight of a given pack of almonds, we can write it as:
[tex]|x-21.25| > 0.24[/tex]
Now finding the range of rejected masses (x) of the almonds.
[tex]|x-a| >b[/tex]
[tex]-b<(x-a)< b[/tex]
[tex]|x-21.25| >0.24[/tex]
[tex]-0.24>(x-21.25)>0.24[/tex]
[tex]-0.24>x-21.25[/tex] or [tex]x-21.25>0.24[/tex]
[tex]x<21.01[/tex] or [tex]x>21.49[/tex]
Therefore, the correct answer option is x < 21.01 or x > 21.49 because |x - 21.25| > 0.24.
PLEASE help me! I will mark brainlist!
Answer:
yes ik
Step-by-step explanation:
Answer:it should be C
Step-by-step explanation: