solve the question ​

Answer:

Step-by-step explanation:

The given table is

Days     Bees

  0        10,000

 10        7,500

 20       5,600

 30       4,200

 40       3,200

 50       2,400

Where \(x\) represents days and \(y\) represents bees.

The exponential function that models this problem must be like

\(y=a(1-r)^{x}\), which represenst an exponential decary, because in this case, the number of bees decays.

We nned to use one points, to find the rate of decay. We know that \(a=10,000\), because it starts with 10,000 bees.

Let's use the points (10, 7500)

\(y=a(1-r)^{x}\\7500=10000(1-r)^{10}\)

Solving for \(r\), we have

\(\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75\)

Using logarithms, we have

\(ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97\)

Replacing all values in the model, we have

\(y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}\)

Therefore, the right answer is the first choice, that's the best approximation to this situation.

Answer:

A. y = 9,958(0.972)x

Step-by-step explanation:

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

To find the zeros of the function y = tan(2x), we can utilize the fact that tan(x) is equal to sin(x)/cos(x).

Given y = tan(2x), we can rewrite it as:

y = sin(2x) / cos(2x)

Now, let's consider the numerator of this expression, which is sin(2x). If we set sin(2x) equal to zero, we can determine the values of x that make the numerator zero:

sin(2x) = 0

By solving this equation, we can find the zeros of sin(2x). The solutions will be the values of x for which sin(2x) equals zero.

Similarly, we can look at the denominator of the expression y = sin(2x) / cos(2x), which is cos(2x). If cos(2x) equals zero, the denominator will be zero, which leads to undefined values for y. These points will be vertical asymptotes of the function tan(2x).

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

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13 units is the answer.......

hope it helps...

Answer:

idek

Step-by-step explanation:

Answer: \(4 \frac{1}{3}\) cups

Step-by-step explanation:

\(1 \frac{2}{3}+2 \frac{2}{3}=3 +\frac{2}{3}+\frac{2}{3}=3\frac{4}{3}=4 \frac{1}{3}\)

Solution:

The given information would be illustrated with the image below as;

We would apply the tangent ratio. Let x be the distance between the base of cliff and the ship. We have;

Then, we have;

FINAL ANSWER:

Answer:

the question is blurry and it has a glare

The centre height of Sam's tent to the nearest tenth = 7.8 feet.

The length of both sides of the tent (a) = 5ft

The base of the tent is (b)= 6ft

The centre height (c) = ?

Using the Pythagorean theorem

c² = a² + b²

c² = 5² + 6²

c² = 100 + 36

c² = √136

c² = 7.8 feet

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Answer:

87 feet^2

Step-by-step explanation:

area of the parking space not covered by the car = area of parking space - area covered by the car

area of parking space = area of a parallelogram = base x height = 19 x 9 = 171 feet²

Area of car = area of a rectangle = length x width 14 x 6 = 84 feet²

area of the parking space not covered by the car = 171 feet² - 84 feet² = 87 feet^2

Answer:

B. a square matrix

Step-by-step explanation:

Because diagonal matrix are those matrix having non zero elements only on diagonal and rest all are zero.

Square matrix are those having number of rows equal to number of columns.

Zero matrix is a matrix having all elements equals to zero.

Identity matrix are those matrix having one only on diagonal and rest all elements are zero.

We can assume that the sampling distribution of the sample mean is normally distributed and the probability that the sample mean falls between 75 and 77 is 0.4582 or 45.82%.

Sampling distribution of the sample mean is normally distributed

Use the standard normal distribution to evaluate the probability that the sample mean falls between 75 and 77.

First, lets calculate standard error of the mean:

SE = σ/√n

Since we are not given the population standard deviation (σ), we will use the sample standard deviation (s) as an estimate:

SE = s/√n

Next, we need to calculate the z-scores corresponding to 75 and 77:

z1 = (75 - x) / SE
z1 = (75 - x) / (s/√n)

z2 = (77 - x) / SE
z2 = (77 - x) / (s/√n)

Since the sampling distribution is normal, we can use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores.

P(75 ≤ x ≤ 77) = P(z1 ≤ Z ≤ z2)

We find that:

P(-0.71 ≤ Z ≤ 0.71) = 0.4582

Therefore, the probability that the sample mean falls between 75 and 77 is 0.4582 or 45.82% (rounded to 4 decimal places).

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Answer:

A: 4

Step-by-step explanation:

You see,, in ratios, the divisor is always the same and in our case, it's 3 . you just divide 12 with the divisor

Answer:

A.4

Step-by-step explanation:

7 x 3 makes 21 so now we have to divide 12 and 3 which is 4. So 4 is the correct answer.

Pls mark me as brainliest!!!

Answer:

full question Grace is an hourly employee, and the line that models her total pay in dollars

as it relates to the number of hours she has worked has a slope of 45 and a y

intercept of 35. Which statement is true?

A. Grace's wage is $35 an hour, and it appears that she received a

signing bonus of $45.

B. Grace's wage is $35 an hour, but it appears that she received no

signing bonus.

C. Grace's wage is $45 an hour, and it appears that she received a

signing bonus of $35.

D. Grace's wage is $45 an hour, but it appears that she received no

signing bonus.

Step-by-step explanation:

if x is the amount of hours worked, 45 is the slope and the y intercept is 35.

A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:

y = 45*x + 35

this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.

Then the correct answer is

C) Grace's wage is $45 an hour, and it appears that she received a  signing bonus of $35.

Answer:

wow........mmm.................

Answer:

hope this helped

Step-by-step explanation:

y = mx + b

b, the y-intercept, = 3 because when x is 0, y is 3

find m, slope:

(0,3) (2,2)

2 - 3/2 - 0

-1/2

-0.5 or -/2

y = -1/2x + 3

or

y = -0.5x + 3

The key approach is to analyze the relationship between the number of solutions to the equation Ax = 0 and the result of Gaussian elimination.

Since the columns of A are linearly dependent, there exist scalars c1, c2, ..., cn (not all zero) such that c1a1 + c2a2 + ... + cnan = 0, where ai represents the columns of A. We can rewrite this equation as a system of linear equations: Ax = 0, where x = [c1, c2, ..., cn]T is a column vector.

The linear dependence of the columns implies that the system Ax = 0 has infinitely many solutions, as we can always find non-trivial combinations of the columns that yield the zero vector.

Now, let's consider applying Gaussian elimination to matrix A. Gaussian elimination transforms the matrix into reduced row echelon form. If the resulting matrix has at least one row of all zeros, it means that there is at least one free variable in the system Ax = 0. This indicates that the system has infinitely many solutions.

Since the system Ax = 0 has infinitely many solutions, and the result of Gaussian elimination with a row of all zeros indicates linear dependence, it follows that the rows of A must also be linearly dependent. Therefore, the linear dependence of the columns implies the linear dependence of the rows.

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The coordinates of the mid- point are (5, 16)

Given,

The midpoint of the line,  given any points A (x₁, y₁) and B(x₂, y₂) .

In the question, we are given that the midpoint  is (3, 11) and (7, 21).

and, to find the co- ordinates of the line.

Now, We know that the Formula of mid point

M = ({(x₁ + x₂)/2},{(y₁ + y₂)/2}).

Here, the points are (3, 11) and (7, 21)

Therefore,

(x, y)  =  ({(x₁ + x₂)/2},{(y₁ + y₂)/2}).

=> (x, y) = [( \(\frac{3+7}{2}\)) , (\(\frac{11 + 21}{2}\)) ]

=> (x , y) = (10/2 , 32/ 2)

=> (x ,y) = (5 , 16)

Hence, The coordinates of the mid- point are (5, 16)

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Answer:

3,7/6

Step-by-step explanation:

\((\sqrt{x^2-4x+3} )+(\sqrt{x^{2} -9} )-(\sqrt{4x^2-14x+6} )\\=(\sqrt{x^2-x-3x+3} )+(\sqrt{(x^2-3^2})-(\sqrt{4x^2-2x-12x+6})\\ =(\sqrt{x(x-1)-3(x-1)} )+\sqrt{(x+3)(x-3)}-\sqrt{2x(2x-1)-6(2x-1)} \\=\sqrt{(x-1)(x-3)}+\sqrt{(x+3)(x-3)} -\sqrt{2(2x-1)(x-3)} \\=\sqrt{x-3} (\sqrt{x-1} +\sqrt{x+3} -\sqrt{2(2x-1)} )\\\)

\(\sqrt{x-3} =0~gives~x=3\\or~\sqrt{x-1} +\sqrt{x+3} -\sqrt{2(2x-1)} =0\\or~ \sqrt{x-1} +\sqrt{x+3} =\sqrt{2(2x-1)} \\squaring\\x-1+x+3+2\sqrt{x-1} \sqrt{x+3} =2(2x-1)\\2x+2+2\sqrt{(x-1)(x+3)} =4x-2\\2\sqrt{x^2-x+3x-3} =2x-4\\\sqrt{x^2+2x-3} =x-2\\again ~squaring\\x^2+2x-3=x^2-4x+4\\\\2x+4x=4+3\\6x=7\\x=\frac{7}{6}\)

Answer:5/7

Step-by-step explanation:

7-2=5

8-1=7

then your answer is 5/7

Took quiz and got correct

The work required to move an object from x=1 to x=3, in the presence of a force given by F(x) = 2/x^2, is approximately 0.346 Joules.

Work: W = ∫F(x)dx, where ∫ represents the integral from the initial position x=1 to the final position x=3. In this case, we have:
W = ∫1^3 (2/x^2)dx
Using the power rule of integration, we can simplify the integral to:
W = [-2/x]^3_1
Plugging in the values of x=3 and x=1, we get:
W = [-2/3] - [-2/1]
W = 2/3 - (-2)
W = 2/3 + 2
W = 8/3

Work required to move an object from x=1 to x=3 in the presence of a force given by F(x) = 2/x^2 is 8/3 Joules or approximately 0.346 Joules.

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Answer:

y = 1.44x⁴

Step-by-step explanation:

From the question,

Y∝d²

To remove the proportionality sign we introduce a constant.

Y = kd²............... Equation 1

make k the subject of the equation

k = Y/d²............. Equation 2

Given: Y = 4, d = 10

Substitute these values into equation 2

k = 4/10²

k = 4/100

k = 0.04

Substitute these value of k in equation 1

Y = 0.04d²................ Equation 3

Similarly,

d∝x²,

d = Cx²

make C the subject of the equation

C = d/x²................... Equation 4

Given:  d = 24, x = 2

Substitute into equation 4

C = 24/2²

C = 24/4

C = 6

Hence,

d = 6x²................... Equation 5

Substitute the value of d in equation 5 into equation 3

y = 0.04(6x²)²

y = 0.04(36x⁴)

y = 1.44x⁴

Hence the formula for y in terms of x is y = 1.44x⁴

Yes, when graphing two variables and observing an upward slope as you move from left to right, it indicates a positive relationship between the variables.

As one variable increases, the other variable also tends to increase. This positive correlation can be visually represented by a line that slopes upward in a graph. It implies that there is a direct and proportional relationship between the variables being studied.

But downward-sloping line indicate a negative relationship, where as one variable increases, the other variable tends to decrease. The slope of the line provides insights into the magnitude and direction of the relationship between the variables.

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When the p-value is less than significance level, then we reject null hypothesis.

The probability that you would have discovered a specific set of observations if the null hypothesis were true is expressed as a number called the p value, which is calculated from a statistical test. In order to determine whether to reject the null hypothesis, P values are used in hypothesis testing.

Normally, a p-value of 0.05 or less is regarded as statistically significant, and in that case, the null hypothesis should be disregarded. If the p-value is greater than 0.05, the null hypothesis is not rejected because the deviation from it is not statistically significant.

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The simplified expression for A(x) is given as follows:

A(x) = -4x² - 12 + 7.

The expression for this problem is defined as follows:

A(x) = 16 - (2x + 3)².

Due to precedence of operations, we solve the square first, as follows:

(2x + 3)² = 4x² + 12x + 9.

Hence:

A(x) = 16 - (4x² + 12x + 9).

The negative symbol means that the sign of each term inside the parenthesis is changed, hence:

A(x) = 16 - 4x² - 12x - 9

A(x) = -4x² - 12 + 7.

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Answer:

2 : 8

Step-by-step explanation:

The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.

Let's assume John has 'x' amount of  money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'

So,

p = x - 80x/100                (equation 1)

q = y - 75y/100                (equation 2)

According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.

p = q

x- 80x/100 = y - 75y/100

x - 0.8x = y - 0.75y

0.2x = 0.25y

x =  0.25y/0.2

x/y = 0.25/0.2

x/y = 25/20

x/y = 5/4

Hence, the ratio of John's money to Peter's money is 5/4.

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The cost of ordering shirts for a club is 268 units.

Define Function.

A function, according to a technical definition, is a relationship between a set of inputs and a set of possible outputs, where each input is connected to precisely one output.

 This means that a function f will map an object x exactly to one object f(x) in the set of possible outputs if the object x is in the set of inputs (called the codomain).

The statement that f is a function from X to Y using the function notation f: X→Y

The function that represents the cost of the shirts(x) is f(x) = 8x+12

Now, for x = 32

 f(x) = 8x+12

f(32) = 8(32) + 12

        = 256 +12

f(32) = 268 units

.

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Answer:

1

Step-by-step explanation:

Slope is given by

m = (y2 -y1)/(x2-x1)

   = ( -2 - -8)/( 2 - -4)

   =( -2+8) / (2+4)

   =6/6

   =1

Answer:

\(\displaystyle m = 1\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (-4, -8)

Point (2, -2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Step-by-step explanation:

(1) The range of set A is greater than the range of set B.

This statement  gives only the range which means only outermost values but what about the other values. For example-11,0,0,0,11 and -10,-10,0,10,10

Clearly, Former one has higher range but lower standard deviation.

(2) Sets A and B are both evenly spaced sets.

Evenly spaced is fine. However, we don't know the spacing since that is required to know the deviation.

For, example, sets A{2,4,6,8,10} and B {1,2,3,4,5} so in this case SD of A> SD of B. Or,  we can have B{2,4,6,8,10} and A{1,2,3,4,5} so in this case SD of B> SD of A.

Answer:part of the earths crust and part of the earths core

Step-by-step explanation:

Answer:

the answer is ( 2 ) Part of the Earth's mantle