In 5 years, Gloria’s bank account earned $2,400 interest at 5%. How much had she deposited in the account?

Answer:

14.1 inches

Step-by-step explanation:

The formula to be used to find the arc length is Ф = s(arc length) / r(radius)

First we rearrange the formula to find the arc length which would be s = Ф * r

This formula only works in radians so the first step is converting 135° to radians so we would do 135° * π radians/180° which would give us 3π/4

We would then multiply 3π/4 * 6 and get 18π/4,  plugging that value into a calculator returns us a value of ≈ 14.137

We then round to the nearest tenth and get an answer of 14.1 inches for the arc length of the circle below

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

......,,........,.....-.......

The median would best describe the centre of the distribution for a highly skewed right histogram of US household income.  The correct option is A.

The median is the value that separates the distribution into two equal parts and is less influenced by extreme values than the mean.

Since a highly skewed right distribution has a long tail on the right side, the mean is likely to be pulled towards that tail, making it an unreliable measure of the centre.

The mode, or most frequently occurring value, may not be useful for describing the centre of a skewed distribution. The variance is a measure of the spread or dispersion of the data, not its centre.

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Answer:

The area of this triangle is (1/2)(9)(8) = 36.

Answer:

1:19PM

Step-by-step explanation:

To solve this, we can first add up the minutes.

We convert to a fraction because if there are 60 minutes in an hour, we need to find out how many hours are in 79 minutes.

Now, we can add up the hours.

Therefore, the game ended at 1:19 PM

The discrete nature of the distribution is the first characteristic. This is demonstrated by the fact that the distribution contains the values 0, 1, 2, and 3. The likelihood that a randomly chosen policyholder files no more than two claims is.09, which is the fourth characteristic.

When we do an experiment with variables that yields a discrete result, discrete probability distributions are created. These variables can be measured numerically by numbering them. probability of rolling two dice six times and receiving the number 5.

Discrete probability distributions are used where the variable (or characteristic) under study is countable in nature. That is, it can take on values 0,1,2,…..N.

Note that N can be both a finite number or Infinity.

Examples of discrete variables are:

(1) Number of defectives in a sample

(2) Defects per piece

(3) Number of customer complaints in a day

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The discrete nature of the distribution is the first characteristic.

What is discrete probability function?

When we do an experiment with variables that yields a discrete result, discrete probability distributions are created. These variables can be measured numerically by numbering them. probability of rolling two dice six times and receiving the number 5.

What are the uses of discrete probability distributions?

Discrete probability distributions are used where the variable (or characteristic) under study is countable in nature. That is, it can take on values 0,1,2,…..N.

Note that N can be both a finite number or Infinity.

Examples of discrete variables are:
(1) Number of defectives in a sample
(2) Defects per piece
(3) Number of customer complaints in a day

This is demonstrated by the fact that the distribution contains the values 0, 1, 2, and 3. The likelihood that a randomly chosen policyholder files no more than two claims is.09, which is the fourth characteristic.

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The correlation between Exam 1 scores and Exam 2 scores is r = .6

The standard mistake of the relapse is the typical distance that the noticed qualities tumble from the relapse line. For this situation, the noticed qualities fall a normal of 4.89 units from the relapse line. Variance is a proportion of how information focuses varies from the mean. As indicated by Layman, a difference is a proportion of how far a bunch of information (numbers) is fanned out from their mean (normal) esteem. Fluctuation means to track down the normal distinction of deviation from real worth. Hence, the correlation between Exam 1 scores and Exam 2 scores is r = .6

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Given:

Slope of the line 7/8

Slope of the perpendicular line is:

The multiplication of both line should be equal to -1

that mean:

Where m1 and m2 slopes of perpendicular line:

that mean:

Then slope of perpendicular line is:

So slope of perpendicular line is -8/7

Answer:

\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)

V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters

The closest answer is 1,001.73 square meters.

On solving the provided question, we got to know that -  the points (0,1) and (1,0) to be used to plot the graph .

An algebraic equation of the form y=mx+b (where m is the slope and b is the y-intercept) with one constant and only one first-order (linear) term is called a linear equation. The above is sometimes called a "linear equation in two variables" where x and y are variables.

To draw a straight line, just two points are needed.

Finding the points where the graph intersects is one approach.

\(the intercepts of the x and y axes\)

\(Let x = 0 in the y-intercept equation.\\ Let y = 0 in the x-intercept equation.\)

x =0→y=0+y=1⇒y=1←y-intercept

y =0→x+0=1⇒x=1←x-intercept

plot the points (0,1) and (1,0)

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Answer:

I=4000×0.916666667×8÷100=293.33

Step-by-step explanation:

Therefore, the interest is 4000-293.333333 is equal to 3706.67

You should write down and track only the 20lbs weight during your weighted exercise while ignoring your body weight.

Actual weight is also referred to as gross weight and it can be defined as the exact (original) weight of an object, as measured using an appropriate weighing scale.

This ultimately implies that, you would write down and track only the 20lbs weight during your weighted exercise such as a single rep of weighted overhand chin ups.

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Step-by-step explanation:

a,it doesn't have variable

b,2x-3=2

2x=2+3

2x=5

2x/2=5/2

x=5/2

let A(-1,2)andB(3,7)be any two points.

slope of lineAB=put here distance formula

=4-7/5-3=3/2=1

Answer:

The answer is: 803,800,000

Step-by-step explanation:

None

It was guessed, and I got it right.

Answer: To find a vector perpendicular to the triangle, you can use the cross product of two vectors formed by subtracting two of the triangle's vertices. Specifically, if two vectors v1 and v2 are formed by subtracting one vertex from the other two, then their cross product v1 × v2 will be perpendicular to both v1 and v2, and therefore perpendicular to the triangle they form.

Mathematically, the cross product of two vectors in three-dimensional space is defined as:

v1 × v2 = ⟨y1z2 − z1y2, z1x2 − x1z2, x1y2 − y1x2⟩

So, to find a vector perpendicular to the triangle with vertices (x1,y1,z1), (x2,y2,z2), and (x3,y3,z3), you can choose any two vertices and compute their difference to get two vectors, and then take their cross product. For example, you could choose:

v1 = ⟨x2−x1,y2−y1,z2−z1⟩

v2 = ⟨x3−x1,y3−y1,z3−z1⟩

And then compute their cross product:

v1 × v2 = ⟨(y2−y1)(z3−z1) − (z2−z1)(y3−y1), (z2−z1)(x3−x1) − (x2−x1)(z3−z1), (x2−x1)(y3−y1) − (y2−y1)(x3−x1)⟩

This will give you a vector that is perpendicular to the triangle.

Step-by-step explanation:

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

The three quadratic equation with different maximum and/or minimum values are y = (x-4)² – 1, y = -(x-4)² + 1, and y = -3(x-4)² + 3.

Quadratic equation:

In math, quadratic equation is the algebraic equation of the second degree in x.

The general form of quadratic equation is

ax² + bx + c = 0,

where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0).

Given,

Here we need to find the three equations for quadratics in vertex form that have roots at 3 and 5 but have different maximum and/or minimum values.

As per the definition of quadratic equation, here we have to write the quadratic equation, that have the roots of 3 and 5,

Here the problem was going to call for two equations but then we have realized that it could be as simply as multiplying the a and c values by -1. Therefore, the equation are,

=> y = (x-4)² – 1,

=> y = -(x-4)² + 1,

=> y = -3(x-4)² + 3.

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Answer:

I believe its C i saw this yesterday somewhere not 100% sure

Step-by-step explanation:

Answer:

129.25

Step-by-step explanation:

Area of the rectangle

Area = L * W

L = 10

W = 9

Area = 9 * 10 =                                                         90

Area of the1/2 circle

Area of a whole circle = pi * r^2

Area of a 1/2 circle = pi * r^2 /2

d = 10

r = d/2

r = 10/2

r = 5

Area of the 1/2 circle = 3.14 * 5^2 /2       =         39.25

Total                                                                    129.25

For the function: y = √(x - 7) - 1

The domain is D: [7, ∞) and the range is R: [1, ∞)

Remember that the for a function y = f(x), the domain is the set of the possible inputs (possible values of x) while the range is the set of the possible outputs (possible values of y).

Here we want to find the domain and range of the function:

y = √(x - 7) - 1

First, we will find the domain, remember that the argument of a square root must be zero or larger, then the minimum of the domain is the value of x such that:

x - 7 = 0

x = 7

The domain is:

D: [7, ∞)

The square root is an increasing function, then the minimum of the range is given by evaluating the function in the minimum of the domain:

f(7) = √(7 - 7) - 1

f(7) = 1

Then the range is:

R: [1, ∞)

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Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

The missing terms in the geometric progression given are:

x = 10      y = 20

The nth term of a Geometric progression is expressed by the formula:

an = ar^(n - 1)

Where we have:

an = nth term

a = first term of the geometric progression

n = number of terms

r = common ratio

We are given the geometric progression 5, x, y, and 40, where:

a1 = 5

a4 = 40

Therefore, we have:

40 = 5 * r^(4 - 1)

40 = 5 * r³

40/5 = r³

8 = r³

r = ∛8

r = 2

Since we know a and r, find the 2nd and 3rd which are represented by x and y respectively, by applying an = ar^(n - 1):

a2 = 5 * 2^(2 - 1)

a2 = 5 * 2^1

a2 = 10

x = 10

a3 = 5 * 2^(3 - 1)

a3 = 5 * 2²

a3 = 20

y = 20

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Answer:

in order from the top down

2,5,1,4,5

Answer:

1/9

Step-by-step explanation:

(1/3)/3 = 1/9

Answer:

see explanation

Step-by-step explanation:

using the rules of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

\(\sqrt{\frac{a}{b} }\) ⇔ \(\frac{\sqrt{a} }{\sqrt{b} }\)

then

\(\sqrt{500}\)

= \(\sqrt{100(5)}\)

= \(\sqrt{100}\) × \(\sqrt{5}\)

= 10 × 2.24

= 22.4

-------------------------------

\(\sqrt{0.5}\)

= \(\sqrt{\frac{50}{100} }\)

= \(\frac{\sqrt{50} }{\sqrt{100} }\)

= \(\frac{\sqrt{50} }{10}\)

= \(\frac{7.07}{10}\)

= 0.707

When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

w² - 9 can be factored as (w + 3)(w - 3) using the difference of squares. To factor w² - 4w - 21, we need to find 2 integers that have a sum of -4 and product of -21; these integers are -7 and 3 so the factored form is (w + 7)(w - 3). Therefore, the expression becomes:

(w + 3)(w - 3) / (w + 7)(w - 3)

Both the numerator and denominator have a factor of (w - 3) so that cancels out, leaving us with (w + 3) / (w + 7).