For this case we know that the initial fee is $8 and we have a charge per hour of $22 we can set upt the following equation for the total cost:
\(T=22x+8\)Where T represent the total cost and x the number of hours. And from the info given we know that T=96 we are i
Find the value of tan Θ is sin Θ = 1/2 90° ≤ Θ ≤ 180°
a. -√3/2
b. -√3/3
c. √3/2
d. √3/3
9514 1404 393
Answer:
b. -√3/3
Step-by-step explanation:
From your knowledge of the values of trig functions of special angles, you know sin(30°) = 1/2. For an angle in the second quadrant, this means the reference angle is 30° and the actual angle measure is 180° -30° = 150°.
The corresponding value of the tangent function is -√3/3, negative in the second quadrant.
Answer:
sin theta=p/h=1/2 let p=1k and h=2k
tan theta=p/b=1k/(√(2k)²-k²)=1k/k√3=1/√3
=tan 30
therefore theta =30°
your answer is 1/√3=√3/3
Ullany TVd How much 20k stamps can #2.00 buy
Answer: 4000
Step-by-step explanation:
I need the answer:’)
Answer:
its D
Step-by-step explanation:
calculator
Isaac is buying ingredients to bake 4 batches of chocolate chip walnut cookies, and each batch requires 1 bag each of chocolate chips and walnuts. His receipt shows a total of $17.92. He remembers that the chocolate chips were $2.59 per bag, but he can't remember how much each bag of walnuts costs. How can Isaac determine the cost per bag of walnuts? Match each step of the arithmetic solution with the correct description. Step 1 Step 2 :: Divide 17.92 by 4. II :: Subtract 2.59 from 4.48. :: Add 2.59 to 4.48. :: Multiply 17.92 by 4. :: Subtract 2.59 from 71.68.
The cost of each bag of walnut can be determined following the below steps and each bag of walnut is $1.89
What is the cost of each bag of walnut?Total receipt= $17.92
4 batches of chocolate chip walnut cookies requires 4 bags each of chocolate chips and walnuts if each batch requires 1 bag each of chocolate chips and walnuts
Cost of chocolate chips = $2.59
Cost of 4 bags of chocolate chips = 4($2.59)
= $10.36
Total cost of 4 bags of walnuts = Total receipt - Cost of 4 bags of chocolate chips
= $17.92 - $10.36
= $7.56
Cost of each bag of walnut= Total cost of 4 bags of walnuts / 4
= $7.56 / 4
= $1.89
Therefore, each bag of walnut cost $1.89
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Answer: Step 1: Divide 17.92 by 4
Step 2: Subtract 2.59 from 4.48
Step-by-step explanation:
Cuantas Escuelas de administración hay ?
HELP ON THIS PLS MATH
Answer:
7
Step-by-step explanation:
1 hour = 118 guests
826 / 118 = 7 hours
Answer:
I think h is 7
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
<5,2>
Step-by-step explanation:
A line passes through -8,5 and has a slope of 3/4 write the equation in slope intercept form
The equation of the line in slope-intercept form is y = (3/4)x.
To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,
where m is the slope and b is the y-intercept.
Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).
First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.
Using (-8, 5) as the point and 3/4 as the slope, we have:
5 - 5 = (3/4)(-8 - x)
0 = (3/4)(-8 - x)
0 = (-3/4)(8 + x)
0 = -6 - (3/4)x
Next, we can solve for x:
(3/4)x = -6
x = -6 \(\times\) (4/3)
x = -8
Now that we have the value of x, we can substitute it back into the equation to find the value of b:
0 = -6 - (3/4)(-8)
0 = -6 + 6
0 = 0
So, the value of b is 0.
Finally, we can write the equation of the line in slope-intercept form:
y = (3/4)x + 0
y = (3/4)x.
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which of the following years were leap years according to the calendar used before the time of pope gregory: 1000, 1492, 1600, 1776?
The probability 1000, 1600, and 1776 were leap years according to the calendar used before the time of pope gregory, but 1492 was not.
The calendar used before the time of Pope Gregory was the Julian Calendar, which was introduced by Julius Caesar in 46 BC. This calendar used a system of leap years, where an extra day was added to the month of February every four years. This was to account for the fact that a solar year is slightly longer than 365 days. For a year to be a leap year under this system, it must be divisible by 4. Therefore, 1000, 1600, and 1776 were leap years according to the Julian Calendar, but 1492 was not since it is not divisible by 4. This calendar was replaced by the Gregorian Calendar in 1582, which uses a slightly modified leap year system. Under this system, a year is only a leap year if it is divisible by 4, but not if it is divisible by 100, unless it is also divisible by 400. Therefore, 1600 would still be a leap year under the Gregorian Calendar, but 1700, 1800, and 1900 would not be.
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During the summer, Curran and AJ
started their own business mowing
lawns. Before starting any work, Curran
spent $20 to ! ll up the gas tank for the
lawnmower. The boys agreed that each
person would earn the same amount
after Curran was reimbursed the money
he spent for gas. After a week of work,
the boys were paid a total of $177.
Curran ! lled up the gas tank just once.
How much did each boy earn?
The boys agreed that each person would earn the same amount after Curran was reimbursed the money he spent on gas. After a week of work, the boys were paid a total of $177. thus each boy earned $88.50.
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.
Let's denote the amount each boy earns by x.
According to the given information, Curran spent $20 for gas, which he should be reimbursed for. This means that the total revenue of the business was $177 + $20 = $197.
Since each person earns the same amount, we can set up an equation:
2x + $20 = $197
Simplifying and solving for x, we get:
2x = $177
x = $88.50
Therefore, each boy earned $88.50.
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An arc through P and Q and two arcs intersecting at R have been drawn. One arc at R has been drawn from P and the other has been drawn from Q using the same compass setting. QR⎯⎯⎯⎯⎯ and PR⎯⎯⎯⎯⎯ have also been drawn.
Determine the correct justification needed for each statement to prove ∠PAR≅∠QAR.
\(\\ \sf\longmapsto AR\cong AR(Common\: side)\)
AR is present in both triangles so it's common\(\\ \sf\longmapsto ∆ARP\cong ∆ARQ(SSS congruence)\)
SSS stands for Side Side SideAs both triangles are equal so so respective angles are also equal\(\\ \sf\longmapsto <PAR\cong <QAR(\because \triangle PAR\cong \triangle QAR)\)
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting a black marble.
A. 0.27
B. 0.33
C. 0.40
D. 0.60
The required probability of selecting the black marble is given as 0.40. Option C is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total number of marbles in the bag = 15
Number of black marble = 6 [from the table]
Now,
The experimental probability of selecting a black marble,
= Number of black marble/Total number of marbles
= 6/15 = 0.40
Thus, the required probability of selecting the black marble is given as 0.40. Option C is correct.
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Find the equation of the exponential function represented by the table below:
x y
0 0.01
1 0.03
2 0.09
3 0.27
y=
Answer:
y = 0.01(3ˣ)
Step-by-step explanation:
A bakery sold 224 chocolate cupcakes in a day, which was 56% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Hence, 440 cupcakes were sold on that day.
The bakery sold a total of 400 cupcakes that day, with 224 of them being chocolate cupcakes, representing 56 precent of the total.
Use the concept of percentage defined as:
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred.
Given that,
A bakery sold 224 chocolate cupcakes in a day.
The 224 chocolate cupcakes represent 56% of the total number of cupcakes sold that day.
To find the total number of cupcakes sold,
Use the percentage given and some simple math.
If 56% of the cupcakes sold were chocolate cupcakes and that amounts to 224 cupcakes,
Set up the following equation:
0.56 x Total number of cupcakes = 224 cupcakes
To find the total number of cupcakes,
Divide both sides of the equation by 0.56:
Total number of cupcakes = 224 cupcakes / 0.56
Calculating this,
The bakery sold a total of 400 cupcakes that day.
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On a piece of paper, graph f(x) = (4x≤3. Then determine which answer
12 if x > 3
choice matches the graph you drew.
The graph of the piecewise function is the one in option D-
Which one is the graph of f(x)?First, we know that:
f(x) = 4 when x ≤ 3
So, we want to have a horizontal line in the left side of the graph, such that it ends in a closed circle at x = 3 (we need to have a closed circle because the symbol ≤ is used).
From the given graphs, the only one with that form is D.
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An ant colony is built by 200 ants. The number of ants triples each week. How many ants will be in the colony at the end of the eighth week?
(7x)(2xy) how do I rewrite that as a sum
6. Here are some lengths, widths, and areas of a garden whose perimeter is
40 feet. (Lesson 6-1)
. Complete the table with the missing
measurements.
b. What lengths and widths do you think will produce
the largest possible area? Explain how you know.
Length
4
8
10
12
14
16
Width
(ft)
16
12
Area
(sq ft)
64
96
64
If the length of the garden is 8 feet and width is 12 feet then the area of the garden be 96 \(feet^{2}\), if the length of garden is 12 and the area of the garden is 96 \(feet^{2}\),then the width be 8 feet, if the length of garden is 16 feet and the area is 64 \(feet^{2}\), then the width of garden be 4 feet and the length and breadth which produce largest area are 8 feet and 12 feet and they can be interchanged.
Given a table of various combinations of length and breadth of garden.
We are required to fill the blanks and find the length and widths which produce largest area.
Length Width Area
4 16 64
8 12 96
10
12 8 96
14
16 4 64
The bold values were the blanks. The blanks which is not filled cannot be filled because we need atleast two values whether they will be length and breadth , breadth and area or length and area. The largest area is 96 \(feet^{2}\). The length and breadth are 8 feet and 12 feet. They can be interchanged because we have two such combinations.
Hence if the length of the garden is 8 feet and width is 12 feet then the area of the garden be 96 \(feet^{2}\), if the length of garden is 12 and the area of the garden is 96 \(feet^{2}\),then the width be 8 feet, if the length of garden is 16 feet and the area is 64 \(feet^{2}\), then the width of garden be 4 feet and the length and breadth which produce largest area are 8 feet and 12 feet and they can be interchanged.
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Question is incomplete. It should include the attached picture.
multiply -x^2(x^2+5x-8)
Answer:
\(-x^4-5x^3+8x^2\)
Step-by-step explanation:
\(\left(-x^2\right)x^2+\left(-x^2\right)\cdot \:5x+\left(-x^2\right)\left(-8\right)\\-x^2x^2-5x^2x+8x^2\\-x^4-5x^3+8x^2\)
Answer: −x4−5x3+8x2
Step-by-step explanation:
PLEASE HELP!!!!
Directions:
In Australia, huge trees are filled with birds or sunset. Although it can be hard to see these birds at first, you can always here them! Write a decimal and a percent for each fraction.
Question:
The parrots in the tree, 8/12 are green, Round to the nearest hundredth
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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Find an equation of variation in which y varies jointly as x and z, and y= 48 when x = 8 and z=6
Answer:
y = xzStep-by-step explanation:
Joint variation equation:
y = kxz, where k- coefficient of variationGiveny = 48,x = 8,z = 6Find the value of k by plugging in the given values:
48 = 8*6k48 = 48kk = 1The equation is:
y = xza home building company bought ' Welcome " cards to distrube to new clients . 50 of the cards cost $1.95 each . another 35 of the cards cost $2.20 each . a final version of 25 cards cost $3.00 each. what was the total amount spent on the welcome cards ?
The total amount spend is $249.5.
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:
50 of the cards cost $1.95 each
Cost of 50 cards = 50 x 1.95 =$97.5
35 of the cards cost $2.20 each
Cost of 35 cards= 35 x 2.2= $77
25 cards cost $3.00 each.
Cost of 25 cards = 25 x 3 = $75
So, the total amount spent
= 97.5 + 77+ 75
= $249.5
Hence, the total amount spend is $249.5.
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5. El bloque de la figura se encuentra en reposo en el momento en que empiezan a actuar las fuerzas.
F₁ = 25 N
F, = 22.6 N
m = 2 kg
a. Encontrar el valor de la fuerza resultante.
b. Determina su aceleración.
C. Calcula la velocidad del bloque a los 5 segundos de movimiento.
The resultant force acting on the block is 47.6N.
The acceleration of the block will be 23.8 m/s².
The speed of the block after 5 seconds of movement is 119 m/s.
What is the resultant force?In this question, we need to make use of Newton's second law, hence:
resultant force = mass × acceleration
So, for question a. The value of the resultant force will be obtained by adding the two forces together:
resultant force = F₁ + F₂
= 25N + 22.6N
= 47.6N
b. Its acceleration will be:
acceleration = resultant force / mass
= 47.6N / 2kg
= 23.8 m/s²
c. The speed of the block after 5 seconds of movement will be:
Velocity (v) = u + at
velocity = initial velocity + acceleration x time
Based on the block was initially at rest, the initial velocity is 0.
Hence:
V = acceleration x time
= 23.8 m/s² x 5s
= 119 m/s
Hence the speed of the block after 5 seconds of movement will be: 119 m/s.
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See full text below
The block in the figure is at rest when the forces begin to act.
F₁ = 25N
F, = 22.6 N
m = 2kg
to. Find the value of the resultant force.
b. Determine its acceleration.
C. Calculate the speed of the block after 5 seconds of movement.
1)
Science 5
Measurement Assignment
Name each measurement instrument below. Then, indicate which
type of measurement is performed with each one. Remember,
some instruments can be used for more than one type of
measurement!
Instrument
Name of Instrument
Measurement Type
Answer: See below
Step-by-step explanation:
The first is a beaker, it's used to measure liquid volume
The second is a ruler, it's used to measure length.
Last is a thermometer, it's used to measure temperature.
decimal division 26 / 8 compared to 14 / 4
14/4 can be expressed as follows:
\(\frac{14}{4}=\frac{14}{4}\cdot\frac{2}{2}=\frac{14\cdot2}{4\cdot2}=\frac{28}{8}\)Given that 28/8 is greater than 26/8, then 14/4 > 26/8
Find the mean absolute deviation (MAD) of the data in the dot plot below.
Mass of each rock
in Ricardo's collection
numbers 35 36 37 38 39 40 41 42 43 44
Answer: 2 grams
Step-by-step explanation:
Answer:
ANSWER IN THE PHOTO: 2
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
A 64-inch board is cut into three pieces so that the second piece is twice as long as the first piece, and the third
piece is 5 times as long as the first piece. Find the length of the longest piece.
==========================================================
Explanation:
x = first piece2x = second piece, since its twice as long as the first5x = third piece, since its five time as long as the firstx is some positive real number, and the units of each are in inches.
Add up the smaller pieces and we should get 64 inches back again
x+2x+5x = 64
8x = 64
x = 64/8
x = 8
The first piece is 8 inches long.
2x = 2*8 = 16 is the length of the second piece (in inches)
The third piece is 40 inches because 5x = 5*8 = 40
--------
Summary:
first = 8 inches
second = 16 inches
third = 40 inches
Check: 8+16+40 = 64, which confirms the answer
what is the circumference of this circle d=8cm round your answer to 2 decimal places
The circumference of the circle is 25. 12cm
How to determine the circumference of the circleThe formula for calculating the circumference of a circle is expressed as;
C = 2πr
Given that;
C is the circumference of the circleπ takes the constant value of 3. 14r is the radius of the circleThe formula for radius is expressed as;
Radius = diameter/2
Radius = 8/2
Radius = 4cm
Substitute the values
Circumference, C = 2× 3.14 × 4
Multiply through
Circumference = 25. 12cm
Hence, the value is 25. 12cm
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