Answer:
\(d=17.69\ \text{inches}\)
Step-by-step explanation:
Given that,
The length of a television, l = 13 inches
Width of the television, b = 12 cm
We ned to find the diagonal of the television. Let the diagonal be d. We can find it using Pythagoras theorem,
\(d^2=l^2+b^2\\\\d=\sqrt{13^2+12^2} \\\\d=17.69\ \text{inches}\)
So, the diagonal of the television is \(17.69\ \text{inches}\).
12oz $1.20 28 oz $2.24 40 oz 3.60 which has the best unit cost
What is AB? Geometry help please
Answer:
AB = 37 units.
Step-by-step explanation:
Solve for AB using the Pythagorean theorem:
c² = a² + b² (c being AB in this instance)
Plug in the values of the legs of the triangle:
c² = 12² + 35²
c² = 144 + 1225
c² = 1369
c = √1369
c = 37
Therefore, AB = 37.
Could use some help with this math problem. Solve: 4y + 3 = 15.
Answer:
y = 3
Step-by-step explanation:
4y + 3 = 15 First subtract 3 from each side.
4y + 3 - 3 = 15 - 3 The 3 on the left will cancel.
4y = 15 - 3
4y = 12 Divide each side by 4
4y/4 = 12/4 The 4 on the left will cancel because 4/4 = 1
y = 12/4
y = 3
Please help!! (Solve for x)
The value of x using the theorem of intersecting secants is 10
How to calculate the value of xFrom the question, we have the following parameters that can be used in our computation:
intersecting secants
Using the intersecting secants equation, we have
8 * (8 + x) = 6 * (6 + 18)
Evaluate the like terms
So, we have
8 * (8 + x) = 6 * 24
Divide both sides by 8
8 + x = 6 * 3
So, we have
8 + x = 18
Subtract 8 from both sides
x = 10
Hence, the value of x is 10
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What is a good practice to remember when adding transitions to a presentation?
A good practice to remember when adding transitions to a presentation is to ensure that they are purposeful, consistent, and enhance the overall flow of the presentation.
Purposeful: Use transitions to guide the audience through your key points and ideas, making sure they complement the content and contribute to the overall message.
Consistent: Maintain a consistent style of transitions throughout your presentation to maintain a cohesive look and feel. Avoid using too many different types of transitions, as this may be distracting.
Enhance flow: Transitions should help create a smooth flow between slides and ideas, making it easy for the audience to follow your presentation. Avoid using abrupt or overly flashy transitions that may interrupt the natural progression of your content.
finally, Test your presentation with the transitions to make sure they enhance the overall flow and comprehension of your message.
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How many cents is equal to $ ¼?
Answer:
25 cents
Step-by-step explanation:
Answer:
25 cents
Step-by-step explanation:
25 cents times 4 is $1
think of quarters
A couple plans to purchase a house. The bank requires a 20% down payment on the $240,000 house. The couple will finance the rest of the cost with a fixed- rate mortgage at 8.5% annual interest with monthly payments over 30 years.
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
(b) Find the amount of the mortgage.
(c) Find the monthly payment.
(A) The required down payment is $48,000.
(B) The amount of the mortgage is $192,000.
(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
(a) To find the required down payment, we need to calculate 20% of the house price.
Down payment = 20% of $240,000
Down payment = 0.2 * $240,000
Down payment = $48,000
The required down payment is $48,000.
(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.
Mortgage amount = Total cost of the house - Down payment
Mortgage amount = $240,000 - $48,000
Mortgage amount = $192,000
The amount of the mortgage is $192,000.
(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
P = Principal amount (mortgage amount)
r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)
n = Total number of monthly payments (30 years multiplied by 12 months)
Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
Using this formula and performing the calculation will give you the monthly payment amount.
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On the coordinate grid, the graph of y = RootIndex 3 StartRoot negative x minus 1 EndRoot is shown. It is a reflection and translation of y = RootIndex 3 StartRoot x EndRoot. On a coordinate plane, a cube root function goes through (negative 2, 1), has an inflection point at (negative 1, 0), and goes through (7, negative 2). What is the range of the graphed function? {x |-2 < x < 2} {y |-2 < y < 2} {x | x is a real number} {y | y is a real number}
Answer:
Step-by-step explanation:
B {y |-2 < y < 2}
There are 88 seats in a theater. The seating in the theater is split into 4 identical sections. Each section has 14 red seats and some blue seats.
write an exspression
Answer:
x = 8
Step-by-step explanation:
Let x be the number of blue seats in each section.
Then the total number of seats in each section is:
14 + x
Since there are 4 identical sections, the total number of seats in the theater is:
4(14 + x) = 56 + 4x
We know that the theater has 88 seats, so:
56 + 4x = 88
Simplifying the equation:
4x = 32
x = 8
Therefore, each section has 14 red seats and 8 blue seats.
The expression for the number of blue seats in each section is x = 8.
Answer:
4(14 + b) = 88---------------------------------
Let b be the number of blue seats.
There are 4 sections, each has 14 red and b blue seats, with the total number of seats being 88.
The equation to reflect this would be:
4(14 + b) = 88Its solution would be:
14 + b = 88/414 + b = 22b = 22 - 14b = 8A retail manager constructs a 95% confidence interval to estimate the mean amount of money each customer spends per visit to the retail store. Assume that all conditions have been met. The one-sample t-interval is ($10.53, $31.89). The owner of the retail store will issue the manager a bonus if the customers spend $35, on average, per visit. Is it reasonable to believe this manager will receive a bonus? No. Because a different sample might give different results, no conclusion can be drawn. No. Because the interval does not contain $35, the manager would not be issued the bonus. Yes. Because the interval representing the mean amount customers spend per visit is entirely below $35, it is reasonable to believe the manager will be issued a bonus. Yes. Because the interval representing the mean amount customers spend per visit does not contain $35, it is reasonable to believe the manager will be issued a bonus.
The correct option is: No. Because the interval does not contain $35, the manager would not be issued the bonus.
What is an interval?An interval refers to a range of values between two points on a numerical scale. It can be represented by two numbers, called endpoints, and includes all the values that lie between these endpoints.
The two common types of intervals are closed intervals and open intervals.
According to the given information:
In a confidence interval, the range of values within which the true population parameter (in this case, the mean amount of money each customer spends per visit) is likely to fall is estimated. A 95% confidence interval means that there is a 95% probability that the true population parameter falls within the interval.
In this case, the confidence interval is ($10.53, $31.89), which means that we are 95% confident that the true mean amount customers spend per visit falls between $10.53 and $31.89. Since the interval does not contain $35, it is not reasonable to believe that the manager will receive a bonus, as the estimated mean amount spent per visit is below $35 according to the confidence interval.
The correct answer is: No. Because the interval does not contain $35, the manager would not be issued the bonus.
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In the equation (x-3)²+(y-2)2=16, the radius of the circle is...
16
3
32
4
Step-by-step explanation:
This is of the form
(x-h)^2 + ( y-k)^2 = r^2 so r^2 = 16 means r = 4 units
In recent years, Sheffield Transportation purchased three used buses. Because of the frequent turnover in the accounting department, a different accountant was in charge of selecting the depreciation method for each bus, and various methods have been used. Information concerning the buses is summarized in the table below. Bus 1, Bus 2, Bus 3, For the declining-balance method, the company uses the declining method rate. For units-of-activity method, total miles are expected to be 125,000. Actual miles of use in the first 3 years were 2021, 27,000; 2022, 35,000; and 2023, 33,000.
(a1) For Bus #3, calculate depreciation expense per mile under units-of-activity method.
Under the units-of-activity method, the depreciation expense per mile for Bus #3 is $0.4616.
How is the depreciation expense per mile determined?The units-of-activity method is one of the depreciation methods in use.
Under the units-of-activity method, the depreciation expense per unit is determined by dividing the depreciable amount by the total units of activity.
The depreciation amount (the value of the asset subject to depreciation) is the net of the total cost less the salvage value.
Depreciable amount of Bus #3 = $57,700 ($66,500 - $8,800)
Expected total miles for Bus #3 = 125,000
Depreciation expense per mile for Bus #3 = $0.4616 ($57,700 ÷ 125,000)
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Question Completion:Bus Acquired Cost Salvage Useful Life Depreciation
Value in Years Method
1 1/1/12 $99,100 $7,900 4 Straight-line
2 1/1/12 128,000 11,000 4 Declining- balance
3 1/1/13 66,350 8,800 5 Unit-of-activity
You rode your bike for 5 miles in 30 minutes.
If
you rode at the same rate, you would ride 12 miles in 80 minutes.
12
HINT:
5
30
O True
O False
Please help my sister is being super mean and my parents are working please help
Which statement is true about the points shown on the number line?
A)-3.8 1.5, and -3.8 is located to the right of 1.5.
D)-3.8 > 1.5, and -3.8 is located to the left of 1.5.
Answer:
2nd option on the top right
Step-by-step explanation:
kelsey is skiing along a circular ski trail that has a radius of 2.9 km. she starts at the 3-o'clock position and travels in the ccw direction. kelsey stops skiing when she is 1.185 km to the right and 2.647 km above the center of the ski trail. imagine an angle with its vertex at the center of the circular ski trail that subtends kelsey's path.
a) How many radians has the angle swept out since kelsey started skiing?
b) How many km has kelsey skied since she started skiing?
a) The angle swept out since kelsey started skiing: 1.1498 radians
b) The distance Kelsey skied: 3.334 km
In this question, we have been given Kelsey is skiing along a circular ski trail that has a radius of 2.9 km. she starts at the 3-o'clock position and travels in the ccw direction. kelsey stops skiing when she is 1.185 km to the right and 2.647 km above the center of the ski trail.
Consider the following figure for reference.
We need to find the angle θ and the distance kelsey skied (i.e., the arc length)
Here, the horizontal distance x = 1.185 km and the vertical distance y = 2.647 km
a. the tangent of angle θ would be,
tan(θ) = y/x
tan(θ) = 2.647/1.185
tan(θ) = 2.2337
θ = arctan(2.2337)
θ = 65.88°
θ = 1.1498 radians
b. The length of the arc is:
s = rθ
s = 2.9 * 1.1498
s = 3.334 km
Therefore, a) the angle swept out : 1.1498 radians
b) the distance Kelsey skied: 3.334 km
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Help! See image below
In the polygon, using sum of exterior angles the value of x = 37°
What is a polygon?A polygon is a shape that has 3 or more sides.
Given the polygon which is a hexagon to find the value of x, we note that the angles are all exterior angles. We know that the sum of the exterior angles of a polygon is 360°.
So, we have the equation as
x + 2x + (x - 1) + 3x + (x + 18) + (x + 10) = 360°
Collecting like terms, we have that
x + 2x + x + 3x + x + x - 1 + 18 + 10 = 360°
9x + 27° = 360°
Subtracting 27° from both sides of the equation, we have that
9x + 27° - 27° = 360° - 27°
9x + 0 = 333°
9x = 333°
Dividing both sides by 9, we have that
x = 333°/9
x = 37°
So, the value of x = 37°
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does anyone know how to solve this?
Just put -2 in,where X is and get your answer that way
Y=2x 2 -6x find the value
Answer:
Y=-4x 2
Step-by-step explanation:
A letter is randomly chosen from the word CANDLESTICK. Find the probability that
you chose an Nor S.
Answer:
The probability of you choosing S would be a 1/11 chance or a 0.0909090909 chance.
Answer:
1 / 11
Step-by-step explanation:
there are 11 letters in candlesick so 11 possibilities and 1 S which is 1 out of 11 or 1 / 11.
Hope this helps ( :
I need d and e and Pprly c because I guessed on c
Answer:
b. Slope: 125/2
Point-slope form:
y-400 = 125/2(x-8)
y = 125/2+392
e. 767 consumers
Step-by-step explanation:
b. The slope is 125/2
Point-slope form:
Slope: 125/2 and point (8,400)
y-y=m(x-x)
Point slope form:
y-400=125/2(x-8)
y = 125/2 x + 392
y = (125/2)(6) + 392
y = 767
What is the meaning of "apply the Separation Schema to the property \(x\notin x\)"?
The Separation Schema is a rule in set theory that allows us to construct a new set from an existing set based on a given property.
How to determine Separation Schema meaning?For example, if a set of all natural numbers, use the Separation Schema to construct a new set of all even natural numbers. The new set will contain all of the elements of the original set that satisfy the given property, in this case, the property of being even.
The property x ∉ x states that x is not a member of x. If we apply the Separation Schema to this property, we will construct a new set that contains all of the sets that are not members of themselves. This set is called the Russell set, and it is known to be paradoxical.
The Russell paradox shows that the unrestricted Comprehension Schema is inconsistent. This is because the Russell set is a set that can be constructed using the Comprehension Schema, but the Russell set also satisfies the property that it is not a member of itself. This is a contradiction, and it shows that the Comprehension Schema cannot be used to construct all sets.
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A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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Si el volumen de una caja de cartón de forma cúbica es de 216 dm³
The volume of the cardboard box is approximately 13197.402 cubic inches.
The volume of a cardboard box is 216 dm³, we can convert it to the English system of measurements.
1 dm (cubic decimeter) is equivalent to 1 liter.
To convert dm³ to cubic inches, we can use the following conversion factors:
1 dm³ = 61.0237 cubic inches
Using this conversion factor, we can calculate the volume of the box in cubic inches:
The cube carton volume is 216 dm3 and the cube edge value is 6 dm.
The volume of the cube is calculated by dividing the edge values. In other words, volume = edge 3.
To find the edge (side) value, you can solve for the volume formula as follows:
edge 3 = volume.
edge = ∛ volume,
Where ∛ is the cube root.
Applying this formula to the given problem gives edge = ∛(216 dm³).
Edge = 6dm. Therefore, the side (edge) value of the cube is 6dm.
Volume (cubic inches) = 216 dm³ * 61.0237 cubic inches/dm³
= 13197.402 cubic inches
Question :- If the volume of a cubic cardboard box is 216 dm³
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5 The volume of the sphere below is approximately 904.78 cm". What is the diameter of the sphere?
Answer:
the diameter would be 12.
f(x)=2log(-1/2x-1)+1
1. create a table of values for the key points and determine the translated key points
2. write a mapping formula
3. sketch the starting function and the new graph
Answer:
i am sorry i dont now the answer but thx for the 14 point
love unkown name
Step-by-step explanation:
find the third, fourth, and fifth terms of the sequence defined by
a1 = 1, a2 = 3,
and
an = (−1)nan − 1 + an − 2
for
n ≥ 3.
The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.
The sequence is defined by the following formula:
a1 = 1, a2 = 3,
and
an = (-1)nan - 1 + an - 2 for n ≥ 3.
To find the third term (a3), we substitute n = 3 into the formula:
a3 = (-1)(3)(a3 - 1) + a3 - 2.
Next, we simplify the equation:
a3 = -3(a2) + a1.
Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:
a3 = -3(3) + 1.
Simplifying further:
a3 = -9 + 1.
Therefore, the third term (a3) is equal to -8.
To find the fourth term (a4), we substitute n = 4 into the formula:
a4 = (-1)(4)(a4 - 1) + a4 - 2.
Simplifying the equation:
a4 = -4(a3) + a2.
Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:
a4 = -4(-8) + 3.
Simplifying further:
a4 = 32 + 3.
Therefore, the fourth term (a4) is equal to 35.
To find the fifth term (a5), we substitute n = 5 into the formula:
a5 = (-1)(5)(a5 - 1) + a5 - 2.
Simplifying the equation:
a5 = -5(a4) + a3.
Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:
a5 = -5(35) + (-8).
Simplifying further:
a5 = -175 - 8.
Therefore, the fifth term (a5) is equal to -183.
In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.
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What constant term should be used to complete the square?
x2.5x+_ _ _ =7
4/25
49/25
-49/25
25/4
The constant term that should be used to complete the square? x2 - 5x + _____ = 7 is 25/4
What is quadratic equation ?
A quadratic equation in the variable x is of the form. ax2 + bx + c = 0, where a, b, c are real numbers and a ≠ 0. • Roots of a quadratic equation : A real number α is said to be a root of the. quadratic equation ax2 + bx + c = 0, if aα2 + bα + c = 0.
Given:
x^2-5x+c=7, the constant term c will be obtained using the formula:
c=(-b/2a)²
The quadratic equation in its generic form is:
ax^2 + bx + c
To complete squares we must add the following term:
(b / 2) ^ 2
The equation is:
ax^ 2 - 5x + k = 7
By completing squares we have:
x ^ 2 - 5x + (-5/2) ^ 2 = 7 + (-5/2) ^ 2
Rewriting:
x ^ 2 - 5x + 6.25 = 7 + 6.25
Hence, A constant term should be used to complete the square is 25/4 or 6.25.
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What is the best approximation of the solution to the system to the nearest integer values?
(7, 1)
(0,6)
(1,7)
(7,0)
Answer:
(0,6)
Step-by-step explanation:
It has minimum value zero and maximum value 6 that's why it is the best approximation of the solution to the system to the nearest integer values
5/30 divided by 5/11
Answer:
0.33
Step-by-step explanation:
Explain the process you would use to find the area of the shaded region. Then calculate the shaded region.
You may leave your answer in terms of π or round to the nearest tenth.
The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.
What is the area of the shaded regions?Question 17) is a figure of a rectangle and two inscribed circles.
The area of a rectangle is expressed as: A = length × width
The area of a circle is expressed as: A = πr²
Where r is the radius.
To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.
Area = ( Length × width ) - 2( πr² )
Area = ( 40 × 10 ) - 2( π × 5² )
Area = ( 400 ) - 2( 25π )
Area = 400- 50π
Area = 242.9 cm²
Area of the shaded region is 242.9 squared centimeters.
Question 18) is the a figure a sector of a circle and a right triangle.
The area of a sector is expressed as: A = (θ/360º) × πr²
The area of a triangle is expressed as: A = 1/2 × base × height
To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.
Hence:
Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )
Plug in the values:
Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )
Area = 25π/4 - 12.5
Area = 7.1
Therefore, the area of the shaded region is 7.1 square units.
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