Answer:
rits 50°
Step-by-step explanation:
,m<GfH=m<DCF
being corresponding angle
arithmetic square root of 0.55
Answer:
0.74
Step-by-step explanation:
Answer:
The square root would equal 0.7416198487095663, or .74 simplified.
Step-by-step explanation:
Hope this helps.
find the value of given expression
\( \sqrt{21 \times \frac{1}{21} } \)
Answer:
1
Step-by-step explanation:
Evaluate the interior of the square root first and work your way outwards:
\(\sqrt{21*\frac{1}{21}} =\sqrt{\frac{21}{21}} =\sqrt{1} =1\)
Answer:
√{21×1/21}=√1=1 is your answer
1) a child puts $1 into a piggy bank. one week later he puts $1.25. two weeks later he puts $1.50 in the bank and so on. how much money does he put in the bank on the 25th week?
omg save me and explain
Answer:kkkkkkk
Step-by-step explanation:
the european and mediterranean population over age 20 has a high percentage of overweight people who represent what percent of their population? group of answer choices 35% 55% 68% 80%
According to the World Health Organization (WHO), the European and Mediterranean populations over the age of 20 have a high percentage of overweight people. In fact, the WHO estimates that approximately 55% of the population in this region is overweight or obese.
This is a significant percentage, and it is important to note that being overweight or obese can increase the risk of numerous health problems, including cardiovascular disease, diabetes, and certain types of cancer.
There are a number of factors that contribute to the high prevalence of overweight and obesity in this region, including changes in diet, decreased physical activity levels, and cultural factors. For example, many people in these regions consume a diet that is high in calories, fat, and sugar, while also engaging in sedentary behaviors.
Overall, the high percentage of overweight and obese individuals in the European and Mediterranean populations over the age of 20 is a cause for concern. It highlights the need for effective public health interventions to promote healthy lifestyles and prevent chronic disease.
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Holly collects video games. She starts with 3x³ games, for some numberx, and then buys another 7x⁴. She then gives away x², then sells 5x, and finally donates another 9 games. Write an expression for the number of games Holly now has in standard form A -9 + 7x4 - 5x + 3x3 - x2 B 3x3 – 5x + 7x4-9-X2 C 7x4 + 3x3 - x - 5x - 9 D -9-5x - x2 + 3x3 + 7x4
The expression for the number of games Holly now has in standard form is D: -9 - 5x - x^2 + 3x^3 + 7x^4.
To determine the expression for the number of games Holly now has, we analyze the given information step by step. Holly starts with 3x^3 games and buys another 7x^4, resulting in a total of 3x^3 + 7x^4 games.
She then gives away x^2, which reduces the total to 3x^3 + 7x^4 - x^2. Next, she sells 5x games, leading to 3x^3 + 7x^4 - x^2 - 5x.
Finally, she donates another 9 games, resulting in a final expression of 3x^3 + 7x^4 - x^2 - 5x - 9. Simplifying further, we get the expression in standard form: -9 - 5x - x^2 + 3x^3 + 7x^4.
Therefore, the correct expression is D.
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the number of hours a lightbulb burns before failing varies form bulb to bulb. the population distribution of burnout times is strongly skweed to the right. the central limit theorem says that
The central limit theorem states that if a large enough sample is taken from a population with a strongly skewed distribution, the distribution of the sample means will be approximately normal, regardless of the shape of the population distribution.
This means that even if the population distribution of burnout times for lightbulbs is strongly skewed to the right, if a large enough sample of burnout times is taken, the distribution of sample means will be approximately normal. This allows for the use of standard statistical techniques, such as calculating a mean and standard deviation, for making inferences about the population.
It is important to note that for the central limit theorem to hold, the sample size should be large enough, usually n>30.
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the periodic transfer of a portion of the cost of an intangible asset to expense is referred to as
The periodic transfer of a portion of the cost of an intangible asset to expense is known as amortization. This is the process of spreading the cost of an intangible asset over its useful life, similar to how depreciation is used for tangible assets like buildings and equipment.
Intangible assets, such as patents, copyrights, and trademarks, do not have a physical existence but still have value to the company. Amortization recognizes the decline in value of these assets over time and helps to accurately reflect their impact on the company's financial statements.
The amount of amortization each period is calculated by dividing the cost of the asset by its estimated useful life. It is important for companies to track and properly account for their intangible assets, including amortization, as it can have a significant impact on their financial statements and overall financial health.
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Which of the following is the function for the graph shown?
Answer:
D
Step-by-step explanation:
The zeros from the graph, where it crosses the x- axis are
x = - 2 and x = 3 , then the corresponding factors are
(x + 2) and (x - 3) , then
y = a(x + 2)(x - 3) ( where a is a multiplier )
To find a substitute any point on the graph into the equation
Using (0, - 6 )
- 6 = a(0 + 2)(0 - 3) = a(2)(- 3) = - 6a ( divide both sides by - 6 )
1 = a
y = (x + 2)(x - 3) ← expand using FOIL
y = x² - x - 6 → D
The sum of three times the opposite of a number and -7?
What is the algebraic phrase?
Step-by-step explanation:
To find this algebraic phrase, we need to use the rules of algebra to express the given statement in mathematical notation. The given statement says that the sum of three times the opposite of a number and -7 is some unknown value.
We can start by expressing the opposite of a number in mathematical notation. The opposite of a number is equal to the number multiplied by -1. So, we can write the opposite of a number as -x.
Next, we can express the fact that the opposite of a number is being multiplied by 3. To do this, we can simply write 3(-x) to represent three times the opposite of a number.
Finally, we can express the fact that -7 is being added to the result. To do this, we can simply write 3(-x) - 7 to represent the sum of three times the opposite of a number and -7.
Therefore, the algebraic phrase for the sum of three times the opposite of a number and -7 is 3(-x) - 7.
The area of a rhombus is 400msq.If its height is 20m, what is its base
By using area formula, we get base is \(20 m\)
What do you mean by area?
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. For instance, On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Given that:
Area of a rhombus is \(400 m^{2}\)
Height of a rhombus is \(20 m\)
We know that,
Area of rhombus = base × height
Substituting area and height in above formula
\(400\) = base × \(20\)
∴ Base = \(\frac{400}{20}\)
=\(20\)
Therefore, by using area formula, we get base of a rhombus is \(20 m\)
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Given the following set of data, which measures have a value of 6? (Check all that apply.)3,4,6,8,9rangemodemedianmean
Suggest methods (other than Cartesian Coordinates) of describing the location of points on a plane.
Answer:
There are two alternatives: (i) Polar coordinate system (a.k.a. Circular coordinate system), (ii) Elliptic coordinate system.
Step-by-step explanation:
There are two alternative ways of describing the location of points on a plane:
(i) Polar coordinate system (a.k.a. Circular coordinate system).
(ii) Elliptic coordinate system.
Now we proceed to explain briefly the characteristic of each option:
Polar coordinate system: \((r, \theta)\)
Where:
\(r\) - Distance of the point with respect to origin.
\(\theta\) - Direction of the vector between origin and point with respect to the +x semiaxis, in sexagesimal degrees.
The formulae for each component in terms of Cartesian coordinates are described below:
\(r = \sqrt{x^{2}+y^{2}}\) (1)
\(\theta = \tan^{-1} \frac{y}{x}\) (2)
Elliptic coordinate system: \((\mu, \nu)\)
Where \(\mu\) and \(\nu\) are elliptical coordinates.
The formulae for each component in terms of Cartesian coordinates are described below:
\(x = a\cdot \cosh \mu \cdot \cos \nu\) (3)
\(y = a \cdot \sinh \mu \cdot \sin \nu\) (4)
Where \(a\) is the distance between origin and any of the foci along the x axis.
Dan invests £800 into his bank account.
He receives 5% per year compound interest.
How much will Dan have after 4 years?
Give your answer to the nearest penny where appropriate.
Answer:
£160
Step-by-step explanation:
Ammount he receives per year times 4.
800 x 0.05 x 4
= £160
Please help it’s called Writing Equations
Answer:
1. A.)4 - 4n = 14
2. C.) 42 * 3 = B
Step-by-step explanation:
1. Four less than : 4 -
Four times a number : 4 × n = 4n
(let n represents the number)
Equals 14 : = 14
= 4 - 4n = 14
2. Each person paid : $42
Keith, Alyssa, and Sara : 3
The bill : let B represent bill
= $46 * 3 = B
I hope this helps!
Which one doesn’t belong?
Come up with one reason for at least 3 different boxes
Answer:
I think box #1 doesnt't belong because it say spend $100 and get $10 off
Step-by-step explanation:
a crew of mechanics at the highway department garage repair vehicles that break down at an average of 3 vehicles every 12 minutes (approximately poisson in nature). the mechanic crew can service an average of 3 vehicles every 10 minutes with a repair time distribution that approximates an exponential distribution. the crew cost is approximately $150 per hour. the cost associated with lost productivity from the breakdown is estimated at $50 per hour. which is cheaper, the existing system with one service crew or a revised system with two service crews? note that the average waiting time for adding the second crew is 0.01.
Total cost in single service crew is greater than double service crew. So, double service crew is cheaper.
We have, a crew of mechanics at the highway department garage repair vehicles. In case of poisson distribution,
λ = 3 vehicles every 12 minutes
= 3×60/12 = 3× 5
λ = 15 vehicles per hour
When time distribution is approximates an exponential distribution,
The mechanic crew can service an average, μ = 3 vehicles every 10 minutes
μ = 3×60/10 = 18 vehicles per hour
Cost for one service crew =$150 per hour
Cost associated with lost productivity from the breakdown or wait cost
=$50 per hour
For single crew, number of vehicles out of cost, Lₛ = 15/(18 - 15) = 15/3 = 5
Single service crew cost = $150 per hour
wait cost = $5×50 = $250 per hour
Total cost = $400 per hour
For double service crew, Number of vehicles out of service cost = 15/(36 - 15)
= 15/21 = 0.7143
Double service crew cost = 2× $150
= $300
Wait cost = $0.7143×50 = $35.715
Total cost = $335.715 per hour
As we see, the double service crew is cheaper.
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estimate a 15% tip on a dinner bill of $61.53 by first rounding the bill amount to the nearest $10
well, 61.53 is really 10 + 10 + 10 + 10 + 10 + 10 + 1.53.
well, 1.53 doesn't really come nowhere near close to round up to 10, so it boils down to 0, so 61.53 will just be 10 + 10 + 10 + 10 + 10 + 10 + 0 or just 60 once rounded up, now, what's 15% of 60?
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 60}}{\left( \cfrac{15}{100} \right)60}\implies 9\)
well, we can get the 15% of 61.53 by just (15/100) * 61.53
however, the exercise is asking on rounding it up to "tens" first
61.53 has "10" six times plus 1.53, the rounding happens with the "surplus"
in this case the surplus is 1.53.
now, for rounding anything the tipover point is at the half, for $10 the half is $5, so if the amount is $5 or more, rounds up to $10, if less than that goes to 0.
1.53 is nowhere near 5, which is the halfpoint or tipover point, because of that, it rounds up to 0, so 61.53 rounded up to "tens" only will be "six tens" only, or 60.
there 5 panakes in a stack.Elise make 40 pankcankes. How many stacks does Elise make?
Answer:
There are 8 stacks
Step-by-step explanation:
Take the number of pancakes and divide by the number in a stack to determine the number of stacks
40/5 = 8
There are 8 stacks
Given the expression: 8x2 + 28x - 16
Part A: What is the greatest common factor? Explain how to find it. (3 points)
Part B: Factor the expression completely. Show all necessary steps. (5 points)
Part C: Check your factoring from Part B by multiplying. Show all necessary steps. (2 points)
Part A: greatest common factor: 4.
Part B: Factor of the expression are: x = 4, 1/2.
Part c: Check for the factors are found correct.
Explain about the greatest common factor?A group of numbers' greatest common factor (GCF) is the biggest factor each of the numbers have in common. The largest number that may divide evenly into two or more other numbers is known as the greatest common factor (GCF).The given expression is-
8x² + 28x - 16 = 0
Part A: The highest number that can be taken common is 4.
4(2x² + 7x - 4) = 0
Thus, greatest common factor: 4.
Part B: Factor of the expression.
4(2x² + 7x - 4) = 0
2x² + 7x - 4 = 0
2x² + 8x - x - 4 = 0
2x(x + 4) - (x + 4) = 0
(x + 4)(2x - 1) = 0
x = 4, 1/2
Thus, the Factor of the expression are: x = 4, 1/2.
Part C: Check:
x = 4, 1/2
8x² + 28x - 16
Put x = 4
= 8(4)² + 28(4) - 16
= 0 (satisfies)
Put x = 1/2
= 8(1/2)² + 28(1/2) - 16
= 0 (satisfies)
Thus, the check for the factors are found correct.
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Find the directional derivative of f (x, y, z) = 2z2x + y3 at the point (1, 2, 2) in the direction of the vector 1/5akar i + 1/5akar j
(Use symbolic notation and fractions where needed.) directional derivative:
ఊhe directional derivative of f at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j is 2√2.
To find the directional derivative of the function f(x, y, z) = 2z^2x + y^3 at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j, we can use the formula for the directional derivative:
D_v(f) = ∇f · v
where ∇f is the gradient of f.
Taking the partial derivatives of f with respect to each variable, we have:
∂f/∂x = 2z^2
∂f/∂y = 3y^2
∂f/∂z = 4xz
Evaluating these partial derivatives at the point (1, 2, 2), we get:
∂f/∂x = 2(2)^2 = 8
∂f/∂y = 3(2)^2 = 12
∂f/∂z = 4(1)(2) = 8
Therefore, the gradient ∇f at (1, 2, 2) is given by ∇f = 8i + 12j + 8k.
Substituting the values into the directional derivative formula, we have:
D_v(f) = ∇f · v = (8i + 12j + 8k) · (1/5√2)i + (1/5√2)j
= 8(1/5√2) + 12(1/5√2) + 8(0)
= (8/5√2) + (12/5√2)
= (8 + 12)/(5√2)
= 20/(5√2)
= 4/√2
= 4√2/2
= 2√2
Hence, the directional derivative of f at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j is 2√2.
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answer these questions and get 30 points
Answer: 5/4, -7/11, 1/2
Step-by-step explanation:
Slope of ordered pairs (y2-y1/x2-x1): -5/4
Y intercept (b in y=mx+b): (0, -7/11)
Slope of graph (rise over run) : 1/2
Find the lateral surface area of the figure.
The evaluated lateral surface area is 261.8 square meters, under the condition that the base length is 20 m and height is 13 m.
The lateral surface area of a cylinder is given by the formula 2πrh
Here,
r = radius of the base
h = height of the cylinder.
For the given case, the base length is 20 m and height is 13 m. Then the base length is stated instead of the radius, we have to evaluate the radius first.
The radius of a cylinder can be found applying the formula r = l/2π
Here,
l = base length.
So, staging l = 20 m
, we get
r = 20/(2π)
≈ 3.18 m
Now that we have received the radius and height, we can evaluate the lateral surface area applying the formula mentioned above.
Staging
r = 3.18 m
h = 13 m,
we get:
Lateral surface area
= 2πrh
≈ 261.8 m²
Then, the lateral surface area of the given cylinder is approximately 261.8 square meters.
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Select the correct answer from the drop-down menu.
Triangle ABC is shown with angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees.
In this triangle, the product of tan A and tan C is
.
In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.
The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.
We have to find the product of tan A and tan C.
In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.
So, we have, tan A = tan C
Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.
Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.
Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.
Answer: `(BC)^2/(AB)^2`.
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Which expression is equivalent to the following? g(x) = -4(x – 7)² – 9
In order to find the equivalent expression, let's expand the term in parenthesis:
\(\begin{gathered} g(x)=-4(x-7)^2-9 \\ g(x)=-4(x^2-14x+49)-9 \\ g(x)=-4x^2+56x-196-9 \\ g(x)=-4x^2+56x-205 \end{gathered}\)So the correct option is A.
These cuboids are made from small cubes. Write how many small cubes there are in each cuboid
Answer:
a) 3 cubes
b) 6 cubes
c) 15 cubes
d) 16 cubes
The number of small cubes in each cuboid is:
(a) 3, b) 6, c) 27, and d) 16.
Given are four cuboids.
It is required to find the number of small cubes that are used to make these cuboids.
a) There are only 3 small cubes.
b) There is only one step of cubes.
Number of cubes = 3 + 3 = 6
c) There are 3 cubes arranged horizontally and 3 cubes arranged vertically through each surface.
Number of cubes in one step = 3 × 3 = 9
There are 3 steps like that.
So, total number of cubes = 3 × 9 = 27
d) There are 4 cubes in the horizontal position.
And there are 4 cubes going down.
Total number of cubes = 4 × 4 = 16
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an exponential function is expressed in the form y ab x the relation represents a growth when
Answer:
b > 1
Step-by-step explanation:
You want to know the conditions on an exponential function that represents growth.
Growth factorThe value of 'b' in the exponential function y = a·b^x is called the "growth factor." Each time x increases by 1 unit, the value of y is multiplied by 'b'. If that product is increasing, the value of 'b' must be greater than 1.
The relation represents growth when b > 1.
An exponential function in the form \(y = ab^x\) represents growth when the base (b) is greater than 1.
What is exponential function?In an exponential function of the form y = ab^x, the base (b) is a crucial component. The behavior of the function depends on the value of the base.
When the base (b) is greater than 1, it means that b is a positive number larger than 1. In this scenario, as the value of x increases, the value of \(b^x\) also increases exponentially. This results in the function \(y = ab^x\) exhibiting growth.
To better understand this growth behavior, let's consider an example. Suppose we have an exponential function \(y = 2^x\). As x increases from 0, the values of \(2^x\) will be as follows:
For x = 0, \(2^0\) = 1
For x = 1, \(2^1\) = 2
For x = 2, \(2^2\) = 4
For x = 3, \(2^3\) = 8
For x = 4, \(2^4\) = 16
As you can see, as x increases, the values of \(2^x\) grow exponentially. This demonstrates the growth behavior of exponential functions when the base is greater than 1.
It's important to note that when the base (b) is between 0 and 1 (exclusive), the exponential function will exhibit decay or decreasing behavior rather than growth.
In summary, an exponential function of the form \(y = ab^x\) represents growth when the base (b) is greater than 1. As x increases, the function values increase exponentially, indicating a growth pattern.
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Identify the shape of a cross section of the cone below.
The shapes of a cross section of the cone are circle and triangle
How to identify the shape of the cross section of the coneFrom the question, we have the following parameters that can be used in our computation:
The cone
In the cone, we have the following shapes in the cross-sections
CircleTriangleUsing the above as a guide, we have the following:
the shapes of a cross section of the cone are circle and triangle
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y=3x-1
Help pleaseeeeee
Answer:
y=3x-1
Step-by-step explanation:
Not enough context
Hope this helps!
:)
Please help me with atleast some❤️
Answer:
1. B, step 3
2. C, (7, -3)
Step-by-step explanation:
1. When distributing -3 in step 3, it's supposed to be -39, not 39.
2. If you solve the rest of the problem with -39 instead, you get (7, -3)
a new car costs $24,500 and depreciates at 5.82% per year. How much is the car worth in 12 years?
Answer:
Step-by-step explanation:
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