first you find 15% of $200
15/100×200=$30
then you find the total money she earned for the hours she worked
4×5=$20
then you add the amounts
$20+$30=$50
Order the numbers from least to greatest to least 4,-2,2,0,3
Answer:-2, 0, 2, 3, 4
Step-by-step explanation:
-2 is smaller than 0, 0 is smaller than 2, 2 is smaller than 3, and 3 is smaller than 4.
Answer:
4, 3, 2, 0, -2
Plane A is flying at 440 mph in the northeast direction relative to the Earth. Plane B is flying at 550 mph in the north direction relative to the Earth. What is the speed of Plane B as observed from Plane A?a. 532 mphb. 860 mphc. 362 mphd. 659 mphe. 669 mph
Answer:
The speed of plane B relative to plane A is 392.25 mph.
Step-by-step explanation:
Speed of plane A = 440 mph north east
speed of plane B = 550 mph north
speed of plane A = [tex]440(cos 45 \widehat{i} + sin 45 \widehat{j})=311.1 \widehat{i} + 311.1 \widehat{j}[/tex]
speed of plane B = [tex]550 \widehat{j}[/tex]
Speed of plane B with respect to plane A is
= speed of plane B - speed of plane A
[tex]=550 \widehat{j} - 311.1 \widehat{i} - 311.1 \widehat{j}\\\\=-311.1 \widehat{i} + 238.9 \widehat{j}\\\\= \sqrt{311.1^2 + 238.9^2 }\\\\=392.25 mph[/tex]
Name two acute angles
Find a domain on which f is one-to-one and non-decreasing.
F(x)=(x-7)^2
Answer:
[tex]x\geq 7\\[/tex]
[tex]x[/tex] ∈ [tex][7,[/tex] ∞ [tex])[/tex]
Step-by-step explanation:
In this problem, one is given the following function,
[tex]f(x)=(x-7)^2[/tex]
The problem asks one to find the interval for which the function is one-to-one and non-decreasing.
A one-to-one function is when every element in the range corresponds to every element in the range. Moreover, no element in the range will correspond to more than one element in the domain. In essence, every input pairs to only one output, and every output pairs to only one input. In a quadratic equation (an equation with a term to the second degree (exponent of (2)), half of the graph will form a one-to-one function. This is because when one has the full graph, for every output there are two inputs. However, with half of the graph, there is only one input for every output. Therefore, a function with a domain of all values less than the (x-coordinate) of the vertex will form a one-to-one function. The same conclusion can be drawn for any value greater than the (x-coordinate) of the vertex.
The given function is in vertex form. This means that one can find the vertex using the given information. The general format for the vertex form of a quadratic equation is as follows,
[tex]y=k(x-h)^2+k[/tex]
Where vertex is the following,
[tex](h,k)[/tex]
Applying this logic here, one can state that the vertex of the given equation ([tex]f(x)=(x-7)^2[/tex]) is as follows,
[tex](7, 0)[/tex]
Since the coefficient of this equation is positive (no coefficient means that it is (1)) outside of it, one can conclude that the graph of the equation is increasing after the (x) value of (7). Therefore, the function is one-to-one and increasing on the interval ([tex]x\geq 7\\[/tex]).
Find the difference.
(-3ab-a-3) - (6ab+1)
Answer:
-9ab-a-4
Step-by-step explanation:
(-3ab-a-3) - (6ab+1)
Distribute the minus sign
(-3ab-a-3) - 6ab-1
Combine like terms
-9ab-a-4
Answer:
[tex]-9ab-a-4[/tex]
Step-by-step explanation:
Hi there!
[tex](-3ab-a-3)-(6ab+1)[/tex]
Open up the parentheses
[tex]-3ab-a-3-6ab-1[/tex]
Combine like terms
[tex]-3ab-6ab-a-3-1\\-9ab-a-3-1\\-9ab-a-4[/tex]
I hope this helps!
3. The number of sheets of paper available for making notebooks is 78,000. Each
sheet of paper makes 8 pages of a notebook. If each notebook contains 192
pages, find the number of notebooks that can be made from the paper available?
Answer:
3250
Step-by-step explanation:
Answer:
I believe the answer is 3,250
78,000 x 8 = 624,000
624,000 / 192 = 3,250
In a two-digit number, the units digit is two more than the tens
digit. If you add the digits together and multiply the result by 6,
you will get five less than the number with the digits reversed.
Find the original number.
Answer:
35
Step-by-step explanation:
In a two-digit number, the units digit is two more than the tens
digit.
(10x) + (x + 2)
If you add the digits together and multiply the result by 6,
you will get five less than the number with the digits reversed.
(x + (x + 2))(6) = 10(x + 2) + x - 5
(2x + 2)(6) = (10x + 20)+ x - 5
12x + 12 = 11x + 15
x = 3
Original number
(10x) + (x + 2)
(10 * 3) + (3 + 2)
30 + 5
35
f(2)=
Please help I don’t got time ;-;
Answer:
b
Step-by-step explanation:
h
Please help! Please find the the area of the polygon
Answer:
360 Meters squared
Step-by-step explanation:
60 + 120 + 130 + 50
Which of the following is a root of the polynomial function below?
F(x) = x+3x2 + 4x+12
Answer:
[tex]\frac{-5-i\sqrt{139}}{6},\ \frac{-5+i\sqrt{139}}{6}}[/tex]
Step-by-step explanation:
When given the following function,
[tex]F(x)=x+3x^2+4x+12[/tex]
One is asked to find the roots. The roots of the equation are the zeros, where the graph of the equation intersects the (x) axis. To find these points on a quadratic equation (equation to the second degree -> the largest exponent in this equation is (2)), one should simplify the equation. Remember, during simplification, one is trying to get the equation of the parabola closets to the quadratic equation in standard form, this form is the following,
[tex]y=ax^2+bx+c[/tex]
After simplifying the equation, one should use the quadratic formula to find the roots of the equation.
------------------------------------
[tex]F(x)=x+3x^2+4x+12[/tex]
Simplify, combine like terms, terms with the same variable to the same degree;
[tex]F(x)=3x^2+5x+12[/tex]
Now use the quadratic formula, the quadratic formula states the following,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Where the parameters (a), (b, and (c) represent the coefficients of the terms in the quadratic formula in standard form. Substitute in the respective coefficients in the given equation and solve for the roots,
[tex]\frac{-(5)(+-)\sqrt{(5)^2-4(3)(12)}}{2(3)}[/tex]
Simplify,
[tex]\frac{-(5)(+-)\sqrt{(5)^2-4(3)(12)}}{2(3)}\\\\=\frac{-5(+-)\sqrt{25-144}}{6}\\\\=\frac{-5(+-)\sqrt{-139}}{6}\\\\=\frac{-5(+-)i\sqrt{139}}{6}[/tex]
What is the value of f(-4)
Answer:
the correct answer is 10
Step-by-step explanation:
Ill give brailiest
.........
Answer:
4.37 inches.
Step-by-step explanation:
4 2/5 = 4.4
4.4 - 0.03 = 4.37
Therefore, it rained 4.37 inches on Tuesday.
Answer: the answer is A (I think but it should be correct)
Kate is granted a 4.6% salary increase. If Kate's current salary is 2,500 per month, ind Kate's new monthly salary, rounded to the nearest dollar.
kates new salerie = 2500(1+0.046)= 2615 dollars
A barber shop was charging $4.15 for a bottle of shampoo but raised the price 23%. The new price after the increase is $5.10.
Enter an expression to show how the new price was calculate
Answer:4.15 divde by 23%
Step-by-step explanation:
Help plz I don’t rlly know
Answer:
13 ft
Step-by-step explanation:
Perimeter is 48 so all four sides add to 48
You know width is 11 so 2x11 is 22.
Subtract the width from the total 48-22=26
Then because you are missing 2 sides divide the answer by 2.
26/2=13
i got like 4 more left ;)
Answer:
oof
Step-by-step explanation:
which of the following is the linear function?
1/3x=y-3
y=x^3+2
y=6x^2
y=2/3x
Answer:
1/3x=y-3, y=2/3x
Step-by-step explanation:
1/3x=y-3 is a linear function because there are no powers.
y=x^3+2 is not a linear function because x is squared by 3.
y=6x^2 is not a linear function because x is squared by 2.
y=2/3x is a linear function because there are no powers.
If this helps please mark as brainliest
The aspect ratio (the ratio of screen width to
height) of a rectangular flat-screen television is
16:9. The length of the diagonal of the screen
the television's screen 12c. Determine and wate. to
the nearest inch, the screen size (diagonal) of this
Mat-screen television
with a screen height of 20.6
inches
Answer:
[tex]Width = 36in[/tex]
[tex]Size = 42.02[/tex]
Step-by-step explanation:
Given
[tex]x \to width[/tex]
[tex]y \to height[/tex]
[tex]x : y = 16 : 9[/tex]
Required
The size of [tex]screen[/tex] of height [tex]20,6in[/tex]
First, we calculate the width using the following equivalent ratios
[tex]16: 9 = x : 20.6[/tex]
Express as fraction
[tex]\frac{16}{ 9} = \frac{x }{ 20.6}[/tex]
Solve for x
[tex]x = 20.6 * \frac{16}{ 9}[/tex]
[tex]x = 36.62[/tex]
Hence:
[tex]Width = 36in[/tex] --- approximated
So, we have:
[tex]x = 36.62[/tex]
[tex]y =20.6[/tex]
The size (diagonal) is then calculated using:
[tex]Size = \sqrt{x^2 + y^2[/tex]
[tex]Size = \sqrt{36.62^2 + 20.6^2[/tex]
[tex]Size = \sqrt{1765.3844[/tex]
[tex]Size = 42.02[/tex]
[tex]Size =42in[/tex] --- approximated
PLEASEEEEEE I REALLY NEED HELPPPP WITH THIS PLEASEEEEEE IM BEGGING SOMONEEEE PLEASEEEE PLEASEEEE PLEASEEEEEE
Answer:
y > (1/2)x + 2
Step-by-step explanation:
The line rises 1 in y for each run of 2 in x
slope = rise/run
slope = 1/2
---------------------
The y-intercept is 2
-----------------------------
The graph is shaded above the dashed line
-----------------------------
Therefor
y > (1/2)x + 2
Answer:
y>1/2x+2
Step-by-step explanation:
The answer is y>1/2x+2. The shaded red part is the graph of y>1/2x+2. Because the slope is 1/2 and the y-intercept is 2, this is the correct answer.
If this helps please mark as brainliest
You are to play the following game of cards. Cards are worth their face value, Jacks, Queens and Kings are also worth 10 and Aces are worth 11. You pull precisely two cards from a standard deck and if their sum is at least 20, then you win the game and are given a prize of cash. It costs you $10 to play the game. At least how much should the prize be in order to make your expected winnings positive
Answer:
$82.875
Step-by-step explanation:
From the given information:
Assume F is used to denote the two cards;
If there are four aces among 52 playing cards, the chance of selecting the first ace is = [tex]\dfrac{4}{52}[/tex]
After selecting the first ace, we have only 3 aces remaining and a total of 51 playing cards. Thus, the chance of selecting the second ace will be [tex]\dfrac{3}{51}[/tex]
By applying product rule, we can determine the chance of selecting two aces without replacement as follows:
i.e.
[tex]P(F=22)=\dfrac{4}{52}\times \dfrac{3}{51}[/tex]
[tex]= \dfrac{1}{221}[/tex]
The probability of getting one ace, one face is:
[tex]P(F=21) =( \dfrac{4}{52}\times \dfrac{12}{51})+( \dfrac{12}{52}\times \dfrac{4}{51})[/tex]
[tex]P(F=21) = \dfrac{4}{221}\times\dfrac{4}{221}[/tex]
[tex]P(F=21) = \dfrac{8}{221}[/tex]
Since there are 4 aces, 4 nine, and 12 faces in a card deck
The probability of getting one ace, one nine, or two faces now will be:
[tex]P(F=20) = (\dfrac{4}{52} \times \dfrac{4}{51})+ (\dfrac{4}{52} \times \dfrac{4}{51}) + (\dfrac{12}{52} \times \dfrac{11}{51})[/tex]
[tex]P(F=20) = (\dfrac{53}{663} )[/tex]
Now, the probability of at least 20 now is:
[tex]\text{P(F at least 20)} = \dfrac{1}{221}+\dfrac{8}{221}+\dfrac{53}{663}[/tex]
[tex]\text{P(F at least 20)} = \dfrac{80}{663}[/tex]
If H represents the amount of prize of the expected winnings:
Then;
[tex](H - 10) (\dfrac{80}{663}) + (-10)(\dfrac{663-80}{663}) = 0[/tex]
[tex]\dfrac{80(H-10)}{663}-\dfrac{5830}{663}=0[/tex]
[tex]\dfrac{80(H-10)}{663}=\dfrac{5830}{663}[/tex]
80H - 800 = 5830
80H = 5830 +800
80H = 6630
H = 6630/80
H = $82.875
The prize should be $82.875 to make a winning positive.
Which statement implies that A and B are independent events?
O A. P(B|A) = P(B N A)
O B.
P(BA) = P(B)
P(A)
O C.
P(B|A) = P(A)
OD.
P(BA) = P(B)
Answer:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Step-by-step explanation:
Independent events:
If two events, A and B are independent, the probability of both A and B happening is the same as the probability of A happening multiplied by the probability of B happenings, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this question:
The statement is [tex]P(A \cap B) = P(A)P(B)[/tex]
What is filtration??
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
[tex]\pmb{\qquad{\qquad{\qquad{\underline{\green{\underline{\sf{Filtration}}}}}}}}[/tex]
Filtration is a physical or chemical separation process that separates solid matter and flu.id from a mixture using a filter medium that has a complex structure through which only the flu.id can pa.ss.
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
The width of a rectangle is 3 inches less than its length, and the area is 88 square inches. What are the length and width of the rectangle?
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
Remember - The formula to find out the area of a rectangle is l × w where l = length & w = width.Let the length of a rectangle be ' l ' . We're provided - Width ( w ) = l - 3 & area of rectangle ( A ) = 88 square inches. We're asked to find out the length and width of the rectangle. Let's begin ![tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
[tex] \large{ \tt{♡ \: AREA \: OF \: RECTANGLE \: ( \: A \: ) = \bf l \times w}}[/tex]
Plug the values and then simplify :[tex] \large{ \text{⟶ \: 88 = l(l - 3)}}[/tex]
[tex] \large{ \bf{⟶ \: 88 = {l}^{2} - 3 l}}[/tex]
[tex] \large{ \bf{⟶ {l}^{2} - 3l = 88 }}[/tex]
[tex] \large{ \bf{⟶ \: {l}^{2} - 3l - 88 = 0}}[/tex]
[tex] \large{ \bf{ ⟶{l}^{2} - (11 - 8)l - 88 = 0}}[/tex]
[tex] \large{ \bf{⟶ {l}^{2} - 11l + 8l - 88 = 0}}[/tex]
[tex] \large{ \bf{⟶ \: l(l - 11) + 8(l - 11) = 0}}[/tex]
[tex] \large{ \bf{⟶ \: (l - 11)(l + 8) = 0}}[/tex]
Either :[tex] \large{ \bf{⟶ \: l - 11 = 0}} [/tex]
[tex] \large{ \bf{⟶l = 11 \: in}}[/tex]
Or :[tex] \large{ \bf{⟶l + 8 = 0}}[/tex]
[tex] \large{ \bf{⟶l = - 8 \: in}}[/tex]
We found out the two values of length of given rectangle [ i.e 11 in & 8 in ]. Since the length can't be in negative , we consider length of the rectangle as ' 11 in ' .[tex] \large{ \tt{❈ \: NOW, \: REPLACING \: VALUE}} : [/tex]
[tex] \large{ \tt{⤑ \: Width(w) = l - 3 = 11 \times 3 = \underline{ \tt{8 \: in}}}}[/tex]
[tex] \underline{ \underline{ \large{ \tt{☄OUR \: FINAL \: ANSWER \: }}} }: [/tex]
[tex] \large{ \boxed{\tt{Length = \underline{ 11 \: in}}}}[/tex][tex] \large{ \boxed{ \tt{Width = \underline{8 \: in}}}}[/tex]☂ Yippie! we're done!
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
from 5 metres of cloth Alexa cut 217 cm how much cloth remaining after cutting
Answer:
2.83 meters
Step-by-step explanation:
Change 217 cm to meter
217 * 1 m/ 100 cm = 2.17 m
5 meter - 2.17 m = 2.83 meters
Answer:
283 cm Or 2.83 m of cloths remaining after cutting.
Step-by-step explanation:
Alexa have a cloth measures 5 metre and she cut 217 cm clothes.As we know that
1 m = 100 cm
so, 5 m = 5 × 100 = 500 cm
Alexa cut 217 cm of clothesSubtract 217 cm from 500 cm
➛ 500 - 217
➛ 283 cm Or 2.83 m
What is the formula for margin of error?The triangles below are similar. Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E D is 7.5 and side D F is 25. Angle F is 30 degrees and angle E is 90 degrees. Which similarity statements describe the relationship between the two triangles? Check all that apply.
Answer:
d
Step-by-step explanation:
Find the length of x, round too the nearest tenth
Answer:
Step-by-step explanation:
take 72 degree as reference angle
using cos rule
cos 72=adjacent/hypotenuse
0.30=4/x
x=4/0.30
x=13.33
x=13.3
WILL GIVE BRAINLEST!!
Finding the area of a triangle is stralghtforward if you know the length of the base and the helght of the triangle. But is it possible to
find the area of a triangle if you know only the coordinates of its vertices? In this task, you'll find out. Consider /_\ABC, whose vertices
are A(2, 1), B(3, 3), and C(1,6); let line segment AC represent the base of the triangle.
Part A
Find the equation of the line passing through B and perpendicular to AC.
Part B
Let the point of intersection of AC with the line you found in part A be point D. Find the coordinates of point B.
Part C
Use the distance formula to find the length of the base and the height of /_\ABC.
Part D
Find the area of /_\ABC.
Answer:
Step-by-step explanation:
Part A
Eq of line passing through C and A
[tex]y-y_o=m(x-x_o)\\y-6=\frac{6-1}{1-2}(x-1)~=>y=-5x+11\\\\PERPEDICULAR~ LINE\\\\m_2=-\frac{1}{m_1}=-\frac{1}{-5}=\frac{1}{5}\\y-3=\frac{1}{5}(x-3)~=>y=\frac{1}{5}x+\frac{12}{5}[/tex]
Part B
Coordinates of point D
[tex]-5x+11=\frac{1}{5}x+\frac{12}{5}=>11-\frac{12}{5}=x(\frac{1}{5}+5)=>x=\frac{43}{26}\\y=-5(\frac{43}{26})+11=\frac{71}{26}\\D(\frac{43}{26}, \frac{71}{26})[/tex]
Part C
Distance DB
[tex]h=\sqrt{(\frac{43}{26}-3)^2+(\frac{71}{26}-3)^2}=\frac{7}{\sqrt{26}}[/tex]
Part D
Length of base
[tex]base=\sqrt{(2-1)^2+(1-6)^2}=\sqrt{26}[/tex]
[tex]area=\frac{1}{2}base*h=\frac{1}{2}\sqrt{26}*\frac{7}{\sqrt{26}}=\frac{7}{2}[/tex]
Can someone help me please
Answer:
20 cashiers
Step-by-step explanation:
There is 10 boxes. Each cashier is given 1/2 of one box.
10 multiplied by 2 (which is 20) gives you the amount of cashiers since each one is given one half and there is 20 one halfs in 10.
There are 20 families living in the Willbrook Farms Development. Of these families, 10 prepared their own federal income taxes for last year, 7 had their taxes prepared by a local professional, and the remaining 3 by H&R Block. a) What is the probability of selecting a family that prepared their own taxes? b) What is the probability of selecting two families, both of which prepared their own taxes?
Answer:
a) 1/2
b) 9/40
Step-by-step explanation:
Given
Total number of families living in Willbrook Farms Development = 20
Number of families preparing their own federal income taxes for last year = 10
Number of families for which taxes were prepared by a local professional = 7
Number of families for which taxes were prepared by H&R Block = 3
a) Probability of selecting a family that prepared their own taxes = 10/20 = 1/2
b) The probability of selecting two families, both of which prepared their own taxes
10/20 * 9/20 = 9/40
What is the area of this trapezoid