Answer:
m<x = 83
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180 degrees
x + 44 + 53 = 180 add like terms
x + 97 = 180 subtract 97 from both sides
x = 83
7.9, 6.8, 5.7, 4.6 what’s next
Answer: 3.5
Step-by-step explanation:
For this question, we are simply finding a pattern.
7.9-6.8=1.1
6.8-5.7=1.1
5.7-4.6=1.1
So we can see from above that the different between each adjacent numbers are 1.1.
Thus, the next number will be 4.6-1.1=3.5The track team sold 40 t-shirts. Short sleeve t-shirts sold for $9.90 and long sleeve
t-shirts sold for $12.75. In all, $421.65 was taken in.
How many short sleeve t-shirts were sold?
Answer:
The track team sold 31 short sleeved t-shirts.
Step-by-step explanation:
If there were 40 t-shirts sold, then you'd have to find how many short sleeved and long sleeved t-shirts were sold to get the amount of money made. Basically, all I did was start with 20:20. I multiplied the cost of each type of shirt by 20, however, the money from selling long sleeved t-shirts is a lot more than the actually amount. So then, I went to 30:10 with short sleeved and then long sleeved. The amount (when added together) was pretty close to the actual amount but it was still a tiny bit higher than the actual. So, I did 31:9 and the amount came out right.
question of cone surface area
The solution is: the approximate surface area of the cone is 103.6 in², which is closest to option (B).
To find the exact surface area of the cone, we need to know the slant height of the cone. Since we are not given the slant height, we can use the Pythagorean theorem to find it:
Slant height² = h² + r²
Slant height² = 4² + 3²
Slant height² = 16 + 9
Slant height² = 25
Slant height = 5
Now that we know the slant height, we can use the formula for the surface area of a cone:
Surface area = πr² + πr×s
where s is the slant height
Surface area = π(3²) + π(3)(5)
Surface area = 9π + 15π
Surface area = 24π
Therefore, the exact surface area of the cone is 24π square units.
The surface area of a cone is given by:
Surface area = πr² + πr×s
where r is the radius of the circular base and s is the slant height.
We are given that the diameter of the circular base is 6 inches, so the radius is 3 inches. We are also given that the slant height is 8 inches. Using these values, we can calculate the surface area of the cone:
Surface area = π(3²) + π(3)(8)
Surface area = 9π + 24π
Surface area = 33π
We can approximate π as 3.14, so:
Surface area ≈ 33(3.14)
Surface area ≈ 103.62
Therefore, the approximate surface area of the cone is 103.6 in², which is closest to option (B).
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complete question:
PLEASE ANSWER THESE QUESTIONS THROUGHLY FOR BRAINLIEST!!
1.)
In this figure, h = 4, and r = 3.
What is the exact surface area of the cone?
(picture inserted below!!!!)
2.)
The diameter of a cone's circular base measures 6 inches, and the slant height of the cone is 8 inches.
What is the approximate surface area of the cone?
94.2 in²
103.6 in²
131.9 in²
257.5 in²
3.)
The slant height of a cone measures 15 centimeters. The height of the cone measures 12 centimeters.
What is the exact surface area of the cone?
4.)
The radius of the circular base of a cone measures 1.6 inches, and its slant height measures 2.5 inches.
What is the approximate lateral area of the cone?
Use π≈3.14.
round to the nearest tenth.
5.) The area of the circular base of a cone is 9π cm², and the slant height of the cone is four times the radius of the cone.
What is the approximate lateral area of the cone?
Use π≈3.14.
round to the nearest whole number.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
Answer:
B) t > -48
Step-by-step explanation:
t/-8 > 6
In order to move -8 to the 6, we must multiply -8 on each side. Your left with t > 6*-8. 6*-8 = -48 so t > -48.
Caleb an investment banker sold his shares for $18,189.27 when there was a boom in the stock market. Calculate the amount he paid for the shares if his selling price was 130% of the amount he paid for the shares.
Therefore, Caleb paid approximately $14,067.90 for the shares.
Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.
Selling price = 130% of the amount paid
$18,189.27 = 1.3 * x
To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:
x = $18,189.27 / 1.3
Calculating this, we find:
x ≈ $14,067.90
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What is the common difference for the sequence shown? coordinate plane showing the points 1 comma 4, 4 comma 3, and 7 comma 2 a −3 b −one third c one third d 3
The common difference for this sequence is 2.The correct answer is option D.
To find the common difference for the given sequence of points in the coordinate plane, we need to examine the change in the y-values (vertical coordinates) as the x-values (horizontal coordinates) increase.
The given points are (1, 3), (2, 5), and (3, 7). By comparing the y-values, we can see that as the x-values increase by 1 each time, the y-values increase by 2.
This means that for every increase of 1 in the x-coordinate, there is a corresponding increase of 2 in the y-coordinate.So, the common difference for this sequence is 2.
In the given sequence of points (1, 3), (2, 5), and (3, 7), the x-coordinate increases by 1 unit each time. As the x-coordinate increases, we observe that the y-coordinate also increases.
The difference between the y-values of consecutive points is constant. We can see that the y-values change from 3 to 5 and then to 7. The difference between 3 and 5 is 2, and the difference between 5 and 7 is also 2.
This means that for every increase of 1 in the x-coordinate, there is a corresponding increase of 2 in the y-coordinate. Hence, the common difference for this sequence is 2.
This implies that as we move along the x-axis, the corresponding points on the y-axis increase by 2 units, creating a linear relationship between the x and y coordinates.
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The Probable question may be:
What is the common difference for the sequence shown below? coordinate plane showing the points 1, 3; 2, 5; and 3, 7
a. −2
b. −one third
c. one third
d. 2
Someone answer this thing i will give you the brainest
Answer:
9/10 1/2 1/8 0.25 0.6
Step-by-step explanation:
please help!!!!!!!!!!!! !!!
A photo of an aunt in a size book is increased to 555% as large as the actual size. If the end is 18 mm, what is the size of the aunt in the photo?
If a photo of an aunt in a size book is increased to 555% as large as the actual size ,the end is 18 mm, the size of the aunt in the photo is 99.9 mm.
To solve this problem, we can use the formula:
enlargement factor = (size of image) / (size of original)
We are given that the enlargement factor is 555%, which is equivalent to 5.55 when expressed as a decimal. Let x be the size of the aunt in the actual photo. Then, we can write:
5.55 = x / 18
To solve for x, we can cross-multiply and simplify:
x = 5.55 * 18
x = 99.9 mm
Therefore, the size of the aunt in the photo is 99.9 mm.
We can check our answer by verifying that the enlargement factor is correct:
enlargement factor = 99.9 / 18 = 5.55
This confirms that our answer is correct.
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an exponential function is a function in the form where is a positive constant called the [ select ] . the inverse of the exponential function with base is called the [ select ] function with base , denoted .
An exponential function is a function in the form y = a^x, where a is a positive constant called the base.
The inverse of the exponential function with base a is called the logarithmic function with base a, denoted as y = loga(x).
An exponential function is represented by the equation
y = a^x,
where a is the base, and the inverse of the exponential function is the logarithmic function with base a, denoted as
y = loga(x).
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What are the solutions to the quadratic equation (2b+3)^2=12
Answer:
b=− 3/4 =−1.333
b= 2/3=1.500
explanation
middle term, which is -1 .
-72 + 1 = -71
-36 + 2 = -34
-24 + 3 = -21
-18 + 4 = -14
-12 + 6 = -6
-9 + 8 = -1 That's it
Two real solutions:
b =(1+√289)/12=(1+17)/12= 1.500
or:
b =(1-√289)/12=(1-17)/12= -1.333
Find two positive consecutive odd integers such that the square of the larger integer is one less than twice the quare of the smaller integer
The positive consecutive smaller integer is 5 and larger integer is 7
Let the first odd integer be x
Then the next consecutive integer will be x + 2
Now, the square of larger integer is 1 less than twice the square of the smaller integer.
Consecutive numbers or consecutive integers are the numbers that appear one after the other in a sequence. These numbers are arranged in ascending order, from smallest to highest.As, x < x + 2
Smaller integer = x
Larger integer = x + 2
⇒ (x + 2)² + 1 = 2·\(x^{2}\)
⇒ \(x^{2} + 4 + 4x + 1 = 2x^{2}\)
⇒ \(x^{2}\) - 4x - 5 = 0
⇒ \(x^{2}\) - 5x + x - 5 = 0
⇒ x(x - 5) + 1(x - 5) = 0
⇒ (x - 5)(x + 1) = 0
⇒ x = 5 or x = -1
But we need positive integer so x = -1 is rejected.
Hence, x = 5
So, the smaller integer = 5 and the larger integer = 7.
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Find the slope A(5, 4) and B(2, 10)
Answer:
-2
Step-by-step explanation:
What's the most reliable way of converting kilograms to pounds?
Answer:
K(2.2)= LBS
Step-by-step explanation:
f(z)=(1/3)
h(z) = z+4/z-2
evaluate (h•f)(0)
The value of the composite function (h•f)(0) is -2/3
How to solve the composite function?The functions are given as:
f(z)=(1/3)
h(z) = z+4/z-2
Start by calculating f(0) and h(0)
f(0) = 1/3
h(0) = (0+4)/(0-2)
h(0) = -2
The composite function is then calculated as:
(h•f)(0) = h(0) * f(0)
This gives
(h•f)(0) = -2 * 1/3
Evaluate
(h•f)(0) = -2/3
Hence, the value of the composite function (h•f)(0) is -2/3
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a survey of 395 children given at a local elementary school showed that 175 like chocolate ice cream, 125 like pistachio ice cream, and 170 do not like chocolate or pistachio ice cream. how many children like at least one kind of ice cream mentioned in the survey?
The number of children who like both pistachio and chocolate ice cream is 73.
Here we have to find at least one kind of ice cream liked by the children.
It is given that the total number of children is 395. The number of children who don't like any ice cream is 170.
So we get the number of students who like one or both the ice cream is 395 - 170 = 225.
Here it is provided that 123 children like pistachio ice cream and 175 children like chocolate ice cream.
So the total number of children who like pistachio and chocolate ice cream is 175+ 123 = 298. Which cannot be greater than 225.
So the number of children who like both ice creams is 298 - 225 = 73.
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4)The voltage across a 10.6-H inductor is (3t + 25.4)1/2 Find the current in the inductor at 7.05 s if the initial current is 8.25 A
The current in the inductor at 7.05 s is approximately 17.63 A.
The relationship between voltage and current in an inductor is given by V = L(di/dt), where V is the voltage, L is the inductance, and di/dt is the rate of change of current with time. We can rearrange this equation to get di/dt = V/L.
Given the voltage across the inductor as \((3t + 25.4)^{1/2}\), we can find the current as: di/dt = V/L = \((3t + 25.4)^{1/2}\) \(/ 10.6\) Integrating this expression with respect to t, we get: i(t) = / 10.6 + C where C is the constant of integration.
We can find the value of C using the initial condition that the current is 8.25 A at t = 0: \(i(0) = (20/9) * (3(0) + 25.4)^{(3/2)} / 10.6 + C = 8.25\) Solving for C, we get C = 8.25 - 0.7956 = 7.4544.
Therefore, the expression for the current through the inductor is: \(i(t) = (20/9) * (3t + 25.4)^{(3/2)} / 10.6 + 7.4544\) At t = 7.05 s, the current through the inductor is:\(i(7.05) = (20/9) * (3(7.05) + 25.4)^{(3/2)} / 10.6 + 7.4544\) = 17.63 A (approx).
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Which Equation could be used to find m, the number of miles he drove on his last trip?
Answer:
I think C is the current answer
Step-by-step explanation:
it makes sense to me because the $0.5 is depending on the $250
suppose bill gets lucky on his next hunting trip and shoots 14 ducks using the same amount of shotgun shells he used on his previous hunting trip to bag 8 ducks. how much would it have cost him to shoot the last six ducks?
By using the unitary method , the cost of one shotgun shell to determine that the cost of shooting the last 6 ducks would be $6.86.
The unitary method involves finding the value of one unit and then using that value to find the value of a given number of units. In this problem, we can use the number of shotgun shells as the unit of measurement. Let's say Bill used x shotgun shells to shoot 8 ducks on his previous hunting trip. Therefore, the cost of shooting 8 ducks would be the cost of x shotgun shells.
Now, we know that Bill shot 14 ducks using the same amount of shotgun shells he used on his previous trip. Therefore, the cost of shooting 14 ducks would be the cost of x shotgun shells. We can use a proportion to find the value of x.
8 ducks can be shot using x shotgun shells, so 14 ducks can be shot using (14/8) x x shotgun shells.
Simplifying this expression, we get:
(14/8) x x = 14 ducks
x = (8/14) x 14 ducks
x = 8/7 ducks
So, Bill used 8/7 shotgun shells to shoot 1 duck on his previous hunting trip.
Now, to find the cost of shooting the last 6 ducks, we need to determine how many shotgun shells he would need. Using the unitary method again, we can say:
1 duck can be shot using 8/7 shotgun shells, so 6 ducks can be shot using 6 * (8/7) shotgun shells.
Simplifying this expression, we get:
6 x (8/7) = 48/7 shotgun shells
Therefore, to shoot the last 6 ducks, Bill would need 48/7 shotgun shells. To determine the cost, we need to know the cost of one shotgun shell. Let's say the cost of one shotgun shell is $1. Then the cost of shooting the last 6 ducks would be:
(48/7) x $1 = $6.86 (rounded to the nearest cent)
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I need help on this
Answer:
x = 17
Step-by-step explanation:
The two angles form a right angle ( indicated by the square )
Right angles have a measure of 90°
Thus, x + 73 = 90
90 - 73 = 17
Hence, x = 17
CAN SOMEONE HELP ME PLEASE ASAP!?
if u can get a better picture I can help you
"Another name for Phase 5: Systems Implementation is ________.
A) Feasibility
B) Conversion
C) Analysis
D) Development"
Phase 5: The system of implementation is conversion.
Option B is the correct answer.
We have,
Phase 5 of the system development life cycle is commonly referred to as "Conversion" or "Systems Implementation."
During this phase,
The focus shifts from planning and designing the system to actually implementing it.
This phase involves the conversion of the old system to the new system, which includes activities such as data conversion, software installation, hardware setup, user training, and system testing.
The term "Conversion" is used because it signifies the transition from the old system to the new system.
It involves migrating data, processes, and operations from the existing system to the new system.
This phase ensures that the newly developed system is successfully integrated into the organization and becomes fully operational.
Thus,
Phase 5: The system of implementation is conversion.
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Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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Which storage option has the ability to update itself regularly?
cloud storage
internal hard drive
flash drive
Cloud storage is the storage option that has the ability to update itself regularly.
Unlike internal hard drives and flash drives, which require manual updates and data transfers, cloud storage services automatically synchronize and update your files across multiple devices. This feature ensures that you always have access to the most recent version of your data, without needing to perform manual updates.
Cloud storage services operate on remote servers managed by service providers, allowing users to store, share, and access their data from any device with internet access. This not only provides convenience but also offers enhanced data security and protection against data loss due to hardware failure or damage.
On the other hand, internal hard drives and flash drives are physical storage devices that store data locally. While they offer a certain level of convenience and portability, they lack the ability to automatically update or sync across multiple devices, making them less versatile compared to cloud storage.
In summary, cloud storage is the storage option with the ability to update itself regularly, providing users with convenience, enhanced security, and the ability to access their data from multiple devices. Meanwhile, internal hard drives and flash drives require manual updates and are limited in their capacity to sync data across devices.
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Which is a correct first step for solving this equation? 8−2(3−x)=4x+6 CLEAR CHECK Math item response image Math item response image Math item response image Math item response image
Answer:
The first thing that you would need to do is slove for your parentheses.
Step-by-step explanation:
PEMDAS
Answer:
Parentheses
Step-by-step explanation:
PEMDAS
a pole that is 2.8m tall casts a shadow that is 1.49m long. at the same time, a nearby building casts a shadow that is 37.5m long. how tall is the building? round your answer to the nearest meter.
The height of the building is 71 meters.
We can solve this problem using the similar triangles. The height of the building can be determined by setting up the following proportion:
(the height of pole) / (length of pole's shadow) = (height of building) / (length of building's shadow)
Substituting the given values:
2.8 / 1.49 = (height of building) / 37.5
To find the height of the building, we can cross-multiply and solve for it:
(2.8 * 37.5) / 1.49 = height of building
Calculating the expression on the right side:
(2.8 * 37.5) / 1.49 ≈ 70.7013
Rounding to the nearest meter, the height of the building is approximately 71 meters.
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discuss the meaning of a natural logarithm. what is its relationship to a logarithm with base b and how does the notation differ
A natural logarithm is a logarithm with a base of e, where e is a mathematical constant approximately equal to 2.71828.
The notation for a natural logarithm is ln(x), where x is the argument of the function.
The natural logarithm has a special relationship with logarithms with base b.
Specifically, the relationship is:
ln(x) = logb(x) / logb(e)
In other words, to convert a natural logarithm to a logarithm with base b, you divide by the logarithm of e with base b.
Similarly, to convert a logarithm with base b to a natural logarithm, you multiply by the logarithm of e with base b. The notation for a logarithm with base b is logb(x).
The difference in notation between a natural logarithm and a logarithm with base b is the inclusion of the base in the latter.
The natural logarithm is used in many areas of mathematics, especially in calculus and differential equations. It also has applications in physics, engineering, and finance.
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Which of the following best defines the sequence shown? 7, 28, 112, 448...f(n) = 7 × 4(n-1) f(n) = 7(4)^n-1 f(n) = 7(4)^n f(n) = 7 × 4
The given sequence is:
7, 28, 112, 448...........
From the sequence above:
The first value, a = 7
The common ratio, r = 28/7 = 112/28 = 448/112
r = 4
Since there is a common ratio of r = 4, the sequence is a geometric sequence that has the formula:
\(\begin{gathered} f(n)=ar^{n-1} \\ f(n)=7(4)^{n-1} \end{gathered}\)A lattice point is an ordered pair (x, y) where both x and y are integers. A triangle is formed
by the three points (1, 1), (9, 1), and (9, n). For what integer value of n > 0 are there exactly 560 lattice
points strictly in the interior of the triangle?
To find the integer value of n that results in exactly 560 lattice points strictly in the interior of the triangle, use the equation: n = (560 + 2)/8.
This equation is derived by counting the lattice points on each side of the triangle, starting with the side between points (1,1) and (9,1). This side has a length of 8, so it contains 8 lattice points, including the two endpoints. The remaining sides have lengths of 8 + n and 8 + n, which combined have 8 + 2n lattice points. The total number of lattice points in the triangle is then 8 + 8 + 2n = 16 + 2n.
Solving for n when the total number of lattice points is 560 gives us n = (560 + 2)/8. Therefore, the integer value of n is 70.
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ANSWER QUICK
Identify an equation in point-slope form for the line perpendicular to y = 3x + 5
that passes through (4, -1).
A. 8+1=-(-4)
B. y-1= -3(x + 4)
C. y +1 = 3(x-4)
D. y - 4 = =
--3(x+1)