Answer:
$2160
Step-by-step explanation:
total hours worked: 20
therefore 20hours×12weeks=240 hours in 12 weeks
240hrs×$9.00 per hr= $2160
She will earn $2160 in 12 weeks.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Ricki work = 4+5+5+3+3= 20 hours
For 12 weeks she works
= 12 x 20
= 240 hours
If she earns = $9 in one week
So, She will earn
= 240 x 9
= $2160 in 12 weeks.
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A traffic cone, which has a height of 28 inches, a slant height of 29 inches, and the
diameter of the base of 14 inches, needs to be painted orange. If the base is not
painted, approximately how many square inches needs to be painted orange?
A
71 in?
С
1,275 in?
11,368 in?
B
637 in?
D
I
Answer: 637 sq. in.
Step-by-step explanation: it was right on my quiz
Solve |t| - 2= -1
A. -1, 3
B. -1, 1
C. -3, 3
D. -3, 1
Answer:
B
hope this helps :D
find the measurements of the numbered angles in the rhombus QRST
In a rhombus, the diagonals intersect at an angle of 90º.
Let O be the intersection of both diagonals.
Since the diagonals on a parallelogram intersect at the middle point, and all the sides of a rhombus have the same meaure, then all the triangles that are formed (ROS, TOS, TOQ, ROQ) are congruent.
Then, we know that:
\(m\angle1=90º\)\(m\angle2=40º\)Since the angles 3 and 2 are complementary angles, then:
\(m\angle3=50º\)Since the angles 4 and 3 are congruent, then:
\(m\angle4=50º\)Therefore:
\(\begin{gathered} m\angle1=90º \\ m\angle2=40º \\ m\angle3=50º \\ m\angle4=50º \end{gathered}\)Consider the plate dealt with in Example 8.1. Plot has a function of the angle of inclination of the plate as the hot side is tilted both upward and downward over the range +90°. Note that you must make do with discontinuous formulæ in different ranges of 0.
The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.
It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.
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Please answer & answer quickly please
Answer:
-8p ≥ -56
=> p ≤ 7
Step-by-step explanation:
use the guidelines of this section to sketch the curve. y = 3^x2 − 25
Using all the guidelines of drawing a curve skitching in this section, the sketch of curve, y = ³√x² - 25 is present in above figure. So, option(c) is right answer here.
In geometry, curve sketching (or curve tracing) are methods for producing a rough idea of overall shape of a plane curve. We have a curve equation, f(x) or
\(y = \sqrt[3]{x² - 25}\). Guidelines or important points for curve sketching :
Determine the domain of the function and points of discontinuity.As we see provide equation or function has no point of discontinuity and domain is set of reals.
Intercepts : determine the x- and y-intercepts of the function, if possible. For x-intercept, we put y = 0 and solve the equation for x. Similarly, we set x= 0 for y-intercept.If x = 0 , then y = 0 so y-intercept= 0. Similarly, when y = 0 then x = ±5.
Symmetry : Determine whether the function is even, odd, or neither. For it, If f(−x) = f(x) for all x, domain then f(x) is even and symmetric about the y−axis. If f(−x) = −f(x) for all x in the domain, then f(x) is odd and symmetric about the origin.The value of f( -x) = \( \sqrt[3]{ { x}^{2} - 25} \) = f(x) ( since (-1)² = 1 ) , so, then y is even and symmetric about the y−axis.
Calculate the first derivative f′(x) and determine the critical points of the function.Differentiating equation (1), \( \frac{dy}{dx} = \frac{1}{3 }( x²- 25)^{-2/3}2x \)
Now, plug dy/dx = 0 for determining the critical points, \( \frac{1}{3} ( x²- 25)^{-2/3}2x = 0\)
So, critical points are x = 0, 5, -5.
Points of Inflection : Using the Second Derivative Test, determine the points of inflection that is f′′(x)=0.Differentiating again, equation,
\(f''(x) = \frac{ - 4x² }{3}( x² - 25)^{-5/2} + \frac{2}{3}( x² - 25)^{-1/3} \\\)
\(f''(x) = \frac{ - 4x² }{3}( x² - 25)^{-5/2} + \frac{2}{3}( x² - 25)^{-1/3} \\ \)
At x = 0, f"(x) = y"(x) < 0, and
points of inflation are \(f''(x) = \frac{ - 4x² }{3}( x² - 25)^{-5/2} + \frac{2}{3}( x² - 25)^{-1/3} = 0\\ \)
\( \frac{2}{3}( x² - 25)^{-1/3} = 0 \)
so, x = ±5. Hence, the required sketch present in above figure.
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Complete question:
The above figure complete question.
use the guidelines of this section to sketch the curve. y = ³√x² − 25.
Help please!!!!!!!!!!!
Answer:
375.6
Step-by-step explanation:
Select the correct answer. Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(7) = -1 B. g(-13) = 20 C. g(-4) = -11 D. g(0) = 2
Answer:
g(-13) = 20 is the answer.
Step-by-step explanation:
x=-13 is in our domain and 20 is also in our range. So this is true for g
HELP please answer both questions
Answer:
1) 6.28
2) 62.8
Step-by-step explanation:
Multiply pi by the diameter to get the circumfrence.
Answer:
6.28in and 62.8m
Step-by-step explanation:
C = d(3.14)
C = 2(3.14) = 6.28
C = 20(3.14) = 62.8
What is 5pi 4 radians in degree
Answer: 225°
Step-by-step explanation:
To convert radians to degrees, multiply by 180/π (1 rad = 180° )
(5π/4) * (180/π/) = 225°
PLEASE HELP
What is the approximate volume of the cone
Use 3.14 for TT.
57 cm3
339 cm3
509 cm3
1526 cm3
The volume of the Illustrated cone used as an example is 51.3cm³.
How to calculate the volume?Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.
A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²
Let's say the radius is 7cm. The volume will be:
= 1/3 × 3.14 × 7²
= 51.3cm³
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HELP ME PLEASE WILL MARK
Answer:
Step-by-step explanation:
The points lie on a straight line and go through the origin
Mary brought $20 to the skating rink. She paid $5.50 admission and $3.75 to rent skates. She also purchased two bottles of water for $1.25 each, and a snack for $2.75. Which expression can be used to determine how much money Mary has left? How much money does Mary have left?
Answer:
Amount left = $5.5
Step-by-step explanation:
Given:
Total amount = $20
Spend for admission = $5.50
Spend for rent = $3.75
Spend for 2 bottle = $1.25 each
Spend for snack = $2.75
Find:
Amount left
Computation:
Amount left = Total amount - Spend for admission - Spend for rent - Spend for 2 bottle - Spend for snack
Amount left = $20 - $5.5 - $3.75 - 2($1.25) - 2.75
Amount left = $5.5
Answer:
Amount left = $5.5
Step-by-step explanation:
A family eats at a restaurant. The bill was $54. The family leaves a tip and spends $60 total. How much was the tip as a perentage of the bill? (round to the nearest whole percent)
Answer:
11%
Step-by-step explanation:
60 - 54 = $6 The tip is $6 since they were meant to pay $54 but gave $6 extra.
The bill is $54.
6/54 = 0.1 recurring
0.1 × 100 = 11.1%
11% is the percentage.
I hope that helps!! ^-^
Connie flips a coin and rolls a standard number cube. Find the probability that the coin will show tails and the cube will show a three, four, or six.
The probability that the coin will show tails and the cube will show a three, four, or six is 1/4.
The probability of two independent events occurring, we multiply their individual probabilities.
Let's start by determining the probability of the coin showing tails.
Since it is a fair coin, there are two equally likely outcomes: heads or tails.
The probability of the coin showing tails is 1/2.
Next, we consider the number cube.
It is a standard six-sided die, and we want to find the probability of rolling a three, four, or six.
Out of the six possible outcomes (numbers 1 to 6), three of them satisfy our condition (3, 4, and 6).
The probability of rolling a three, four, or six is 3/6 or 1/2.
Now, we can find the probability of both events occurring by multiplying the probabilities together:
P(Tails and 3, 4, or 6) = P(Tails) × P(3, 4, or 6)
= 1/2 × 1/2
= 1/4
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10. A coordinator at a local fundraiser has 14 volunteers to help out. There will be 3 volunteers working at the entrance door, 4 volunteers helping with the young children and 7 working at the tables with the fundraising activities.
a) In how many ways can the volunteers be assigned? [2]
b) Mary and Martha are new volunteers this year, so they should not be placed together. In how many ways can the volunteers be assigned so that Mary and Martha are not at the same station? [3]
The combination and permutations computed shows that the number of ways that the volunteers can be assigned is 120120.
How to calculate the combinationFrom the information given, the number of ways that the volunteers can be assigned will be:
= 14C3 × 11C4 × 7C7.
= (14 × 13 × 12)/6 × (11 × 10 × 9 × 8)/24
= 120120
Also, the number of ways that the volunteers can be assigned so that Mary and Martha are not at the same station will be:
= 12C1 × 11C4 × 7C7
= 12 × 330 × 1
= 3960
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Please help answer all please thank you
Answer:
The answers are, in order:
1. Isolate
2. substitute
3. variable
Step-by-step explanation:
You're welcome :)
The square root of 40 is between what 2 numbers ?
Answer:
between 6 and 7
hope it helps you budy
Answer:
6 and 7
Step-by-step explanation:
Given that the square root of 40 is 6.32..., the decimal is between 6 and 7.
The sum of the largest one digit number and the several largest two digit number is the sum of the largest three digit number how many largest two digit numbers are in this sum
There are 10 largest two-digit numbers in this sum.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
The sum of the largest one-digit number and the several largest two-digit number is the sum of the largest three-digit number.
The largest one-digit number is 9.
The largest two-digit number is 99 and the largest three-digit number is 999.
So, 99 added 10 times to itself gives 990.
And 990 + 9 = 999.
Therefore, we need the sum of the 10 largest two-digit numbers.
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Find the largest open interval where the function is changing as requested. Increasing f(x) = 1 / x2 + 1
The largest open interval where the function f(x) = 1/(x^2+1) is increasing is (-∞, 0) ∪ (0, ∞). On this interval, the function is increasing from negative infinity to zero and from zero to positive infinity.
Explanation:
To find where the function is increasing, we need to find where the first derivative of the function is positive. Taking the derivative of f(x), we get:
f'(x) = (-2x) / (x^2 + 1)^2
The denominator of this expression is always positive, so the sign of f'(x) is determined by the numerator. The numerator is negative for x < 0 and positive for x > 0. Therefore, f(x) is decreasing on (-∞, 0) and increasing on (0, ∞).
We also need to check the endpoints of these intervals to make sure that the function is increasing on the entire interval. As x approaches negative infinity, the function approaches 0, and as x approaches positive infinity, the function approaches 0. Therefore, the function is increasing on (-∞, 0) ∪ (0, ∞).
In summary, the largest open interval where the function f(x) = 1/(x^2+1) is increasing is (-∞, 0) ∪ (0, ∞). On this interval, the function is increasing from negative infinity to zero and from zero to positive infinity.
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12) Yellowstone National Park is a popular field trip destination. This year the senior class at High School and the senior class at High School B both planned trips there. The senior class at High School A rented and filled with 332 students. of students.High School B rented and filled 4 vans and 15 buses with 459 students. each van and each bus carried the same number of students. find the number of students in each van and in each bus
Number of students per van = v
Number of students per bus = b
Equation 1: 7v + 10b = 332
Equation 2: 4v + 15b = 459
Solving for b equation 1:
7v + 10b = 332 ==> 10b = 332 - 7v ==> b = (332 - 7v)/10
Using this value into equation 2:
4v + 15b = 459 ==> 4v + 15(332 - 7v)/10 = 459 ==> 40v + 15(332 - 7v) = 4590
40v + 4980 - 105v = 4590 ==> -65v = 4590 - 4980 = -390
v = 390/65 = 6
v = 6
Using this value in the expression we found for b:
b = (332 - 7v)/10 = (332 - 7*6)/10 = (332 - 42)/10 = 290/10 = 29
b = 29
Answer:
Students in each van = 6
Students in each bus = 29
What is the quotient of (-20/35) divided by 12/20
Answer:
-0.95238095238???????
Solve for x. With explanation
Answer:
129
Step-by-step explanation:
the sum of the interior angles of a quadrilateral is 360, so you add 71+112+48 and subtract it from 360 to get x
a new hair cream was just given to a random sample of people that are either bald, or currently losing their hair. the results showed that of people either started growing back hair or stopped losing their hair, and the results had a margin of error of . if the new hair cream will be administered to people, how many are expected to see improvement? between [dropdown1] and [dropdown2] are predicted to see an improvement in their baldness.
Based on the given information, we know that a new hair cream was tested on a random sample of people who were either bald or currently losing their hair.
The results of the test showed that a certain percentage of people either started growing back hair or stopped losing their hair, but there was a margin of error of which means that the results could vary by that amount. Unfortunately, we do not have the specific percentage of people who saw an improvement in their hair growth, but we do know that the margin of error is . This means that if the test were to be repeated with another sample of people, the results could vary by that amount in either direction. Therefore, we cannot give an exact number of people who are expected to see an improvement in their baldness if the new hair cream is administered to people. However, we can estimate that between [dropdown1] and [dropdown2] people are predicted to see an improvement in their hair growth based on the results of the test and the margin of error.
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Answer:
drop down 1: 2226
drop down 2: 3241
Step-by-step explanation:
PLZZZ HELPPPP MEEEEEEE
Step-by-step explanation:
I can help you, but first make me brainliest
Choose all of the equations of vertical lines.
O A. x - y = 0
B. Ox + 2y = 2
C. 3x + Oy = 7
D. 2x - y = 2
E. x + Oy = 7
F. Ox + 4y = 8
G. 12x + Oy = 24
Equations of vertical lines are those in which there is no change in the horizontal direction, i.e., parallel to the y-axis. The equation is always x = a, where a is any constant.
For example, x = 3, x = 2, etc. Let's check the given options:A. x - y = 0 can be rewritten as x = y. This is not a vertical line equation.B. Ox + 2y = 2 can be rewritten as 2y = - Ox + 2 or y = - (O/2)x + 1. This is not a vertical line equation.C. 3x + Oy = 7 can be rewritten as 3x = 7 - Oy or x = (7 - Oy)/3. This is not a vertical line equation.D. 2x - y = 2 can be rewritten as y = 2x - 2. This is not a vertical line equation.E. x + Oy = 7 can be rewritten as y = (7 - x)/O. This is not a vertical line equation.F. Ox + 4y = 8 can be rewritten as Ox = 8 - 4y or x = 8/O - 4(O/1)y/O or x = 8/O - 4y. This is a vertical line equation.G. 12x + Oy = 24 can be rewritten as Oy = - 12x + 24 or y = - (12/O)x + 24/O. This is not a vertical line equation.The equations of vertical lines are x = 8/O - 4y and option (F) is correct.Answer: Option (F).
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.Let v= ⎡⎣⎢⎢⎢⎢⎢⎢⎢ 9 ⎤⎦⎥⎥⎥⎥⎥⎥⎥
7
2
-3 .
Find a basis of the subspace of R4 consisting of all vectors perpendicular to v
A basis for the subspace of R4 consisting of all vectors perpendicular to v is [-7/9, 1, 0, 0], [-2/9, 0, 1, 0], [1/3, 0, 0, 1].
We can find a basis for the subspace of R4 consisting of all vectors perpendicular to v by solving the homogeneous system of linear equations Ax = 0, where A is the matrix whose rows are the components of v and x is a column vector in R4.
The augmented matrix [A|0] is:
| 9 7 2 -3 | 0 |
||
||
||
||
We can row reduce the augmented matrix using elementary row operations to get it in reduced row echelon form.
| 1 7/9 2/9 -1/3 | 0 |
||
||
||
||
We can write the solution as a parametric vector form:
x1 = -7/9s - 2/9t + 1/3u
x2 = s
x3 = t
x4 = u
where s, t, and u are arbitrary constants.
Therefore, a basis for the subspace of R4 consisting of all vectors perpendicular to v is:
[-7/9, 1, 0, 0], [-2/9, 0, 1, 0], [1/3, 0, 0, 1]
These vectors are linearly independent and span the subspace of R4 perpendicular to v.
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Lucy invested $19,000 in an account paying an interest rate of 3% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?
Answer:
23560
Step-by-step explanation:
3% of 19k is 570
570*8=4560
4560+19000=23560
Functions f(x)16x^2
G(x) 1/4 sq root x
Answer:
x
x
are the same
Step-by-step explanation:
when you plug in g(x) into f(x)
f(x)=16((1/4)(x)^.5)==x
then vice versa
g(x)=(1/4)((16x^2)^.5)==x
They are the same and, therefore, inverses of each other.
12. Phillip deposited $450 in an account that earns
5% interest, compounded yearly. If he makes
no further deposits, how much will be in the
account after 2 years?
A. $472.50
B. $491.14
C. $496.13
D. $512.24
Answer:
b
Step-by-step explanation: