help a kid in solving some maths problems ~

\( \qquad \sf \: \longmapsto2x + 3 = 9\)

What's the value of x ?​

Answer:

Period is for a complete oscillation

\(period = 4\pi\)

The statement "if a > √n and b > √n, then n ≠ ab" is saying that if two positive integers, a and b, are both greater than the square root of another positive integer n, then the product of a and b is not equal to n. This statement can be proven by contradiction.

Suppose the opposite is true, and that n = ab, where a and b are positive integers such that a > √n and b > √n. Then, because n = ab, we have n/a = b and n/b = a. But because both a and b are greater than the square root of n, we have √n < a and √n < b. This leads to a contradiction, because it means that n/a = b > √n, but √n is the largest possible value of b such that b < n/a.

Thus, we have proven that if a > √n and b > √n, then n cannot equal ab, and our original statement is true.

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R2 = SSxy / SSyyWhere SSxy is the sum of squares of regression and SSyy is the total sum of squares of y. Hence, using the given data:R2 = SSxy / SSyy= 5268 / 13,483= 0.391 or 39.1% Thus, approximately 39.1% of the variability in the volume of pine trees can be accounted for by size (circumference).

The regression line for predicting y from x:In linear regression, the regression equation that can be used to predict y for any given x value is given by: y = a + bx Where, a is the y-intercept and b is the slope of the regression line. The slope of the regression line is given by: b = SSxy / SSxx Where, SSxy is the sum of squares of regression and SSxx is the total sum of squares of x. Hence, using the given data: b = SSxy / SSxx= 5268 / ((1384^2) - (37(25.7)^2))= 0.372The y-intercept

a = y¯ - bx¯ Where x¯ and y¯ are the mean of x and y respectively. Hence, using the given data: x¯ = Sigma x / n= 1384 / 37= 37.51and y¯ = Sigma y / n= 1346 / 37= 36.38a = y¯ - bx¯= 36.38 - (0.372 × 37.51)= 22.51Therefore, the regression line for predicting y from x is: y = 22.51 + 0.372x (in cubic feet)

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The logarithmic form is written as logₐ(X)=b. It is a rearrangement of the exponential form, aᵇ=X.

What is Logarithmic Form?

The logarithmic form is written as logₐ(X)=b. It is generally the rearrangement of the exponential form, aᵇ=X. Any exponential equation can be written as a logarithm. The logarithmic form is mostly used to calculate an exponent of an equation. The logₐ(X)=b. is read as “log base a of X equals b“.

The logarithmic form is simply a rearrangement of an equation written in exponential form. The same numbers are used but they are written in a different order. The word log is written which implies that the logarithm function is being used.

Therefore, If the logarithmic form is logₐ(X)=b. then it is a rearranged as the exponential form as aᵇ=X.

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Step 1. The information that we have is:

The mean:

The standard deviation:

Step 2. To solve this problem and find what percent of scores are between 42 and 58, we use the empirical rule:

• The empirical rule for normally distributed data tells us that about 68% of the data falls under 1 standard deviation from the mean, about 95% falls under 2 standard deviations from the mean, and 99.7% of the data falls under 3 standard deviations from the mean.

Step 3. The following diagram represents the situation:

The marks on the graph are calculated as follows:

This is represented in the image:

Step 4. As you can see in the previous graph, 42 and 58 are 2 standard deviations away from the mean, this means that about 95% of the data will be between those values.

The option closest to 95% is B. about 95.4%

Answer: B. about 95.4%

Answer:

Step-by-step explanation:

The list of numbers seems to be decreasing, from biggest to smallest.

But... The 8 isn't less than 2, it should be more!

So 8 should be the circled number.

The 8 should be put before the -2, because 8 > 2

Answer:

For x-2y+3= 9 the answer is X - 2y+3=9 and for -x+3y = -4 the answer is x- 3y-4=0 and for 2x - 5y + 5z = 17 the answer is X=17/2+5/2y-5/2z,yer,zer

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

\(x^1=x\text{ and }x^{-1}=\frac{1}{x} \text{ and }x^0 = 1\)

These make the expression \(x^1-x^{-1}+x^0=x-\frac{1}{x}+1\) .

Plug in x = 2 to get  \(2-\frac{1}{2}+1=\frac{5}{2}\)

Answer:

given equation = x¹-x⁻¹+x⁰

lets subtitute the value of x in this equation = 2-1/2+1

= 3-1/2 =5/2 =2.5 (ans)

Hope it helps

Answer:

14.4

Step-by-step explanation:

5x-72=0

5x=72

(divide 5 from both sides)

x=14.4

Answer:

Perimeter:

150 + 225 + 80 + 175 + 70 + 110 = 810 feet

Area:

150(110) + 80(115) = 25,700 square feet

Answer:

Step-by-step explanation:

Let the box tops collected by Mrs Goby be represented by x.

Since Mrs William's collected 4 more then mrs. Goby, Mrs Williams will have: = x+4

Miss Williams and mrs Laplant had the same number of box tops. They both had x+4 box tops.

To calculate the number of box tops that mrs. William's collect will be:

x + (x + 4) + (x + 4) = 64

3x + 8 = 64

3x = 64 - 8

3x = 56

x = 56/3

x = 18 1/3

Therefore, box too collected by Miss Williams will be:

= x + 4

= 18 1/3 + 4

= 22 1/3

= 22 approximately

The angles and length of the right triangle are as follows:

WX = 10√141 units

m∠X  = 30°

m∠V = 60°

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.

Trigonometric ratios can be used to find the side and angles of the right triangle as follows;

Therefore,

Using Pythagoras's theorem,

WX² = (20√47)² - (10√47)²

WX² = 400(47) - 100(47)

WX² = 18800 - 4700

WX = √14100

WX = 10√141

Let's find the angles

sin m∠X  = opposite / hypotenuse

sin m∠X  = 10√47 / 20√47

sin m∠X  = 1 / 2

m∠X  = sin⁻¹ 0.5

m∠X  = 30 degrees

Therefore,

m∠V = 180 - 90 - 30

m∠V = 60 degrees

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Answer:

The x-intercept is 5 and the y-intercept is 20. To find the x-intercept plug in y = 0 into the equation and then solve for y and to find the y-intercept plug in x = 0 into the equation and solve for y.

Answer:

Obtuse

Step-by-step explanation:

This is an obtuse triangle as it as an angle greater than 90.

Answer:

correct answer is A

Step-by-step explanation:

edge 2022

The probability of a head on the 5th flip of the coin is 1/2 or 50%

The probability of getting a head on the 5th flip of the coin can be determined by understanding that each flip of the coin is an independent event. The previous flips do not affect the outcome of future flips.

Since the previous flips resulted in four consecutive heads (h h h h), the outcome of the 5th flip is not influenced by them. The probability of getting a head on any individual flip of a fair coin is always 1/2, regardless of the previous outcomes.

Therefore, the probability of getting a head on the 5th flip is also 1/2 or 50%.

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Answer:0.3

it is very easy wants you connect with math

The matrix in its reduced row echelon form is:[4, -1 | 2] [0, 1 | 2]

Given the system of equations is:4x - y = 2 and -x + y = 4To solve the given system of equations using the augmented matrix and elementary row operations, we represent the system as a matrix equation of the form AX = B, where A is the coefficient matrix of the variables, X is the matrix of the variables, and B is the constant matrix.

Therefore, we get the matrix as:⇒ [4, -1 | 2] [ -1, 1 | 4]To simplify this matrix into its reduced row echelon form, we perform elementary row operations as follows:R2 → R2 + R1Hence the matrix in its reduced row echelon form is:[4, -1 | 2] [0, 1 | 2]

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A) The regular price of a t-shirt is $18. What is the discount price?

$14.4

B) Which equation represents this problem?

a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x

The answer would be B.

C) The discount price of a hat is $18. What is the regular price?

22.5

Hope it helped!! ^^

Note: if you need me to explain i Would be happy to do so! :)

Answer:

One solution, as there is only one intersection between these two lines.

x = 2, and y = 1 (point of interesection (2, 1) )

y = 2x-3

y = -x + 3

first step is to substitute the y of one equation into the other and solve for x.

- x + 3 = 2x - 3

___________

+x. +x

_____________

3 = 3x-3

_____________

+3 +3

____________

6 = 3x

_____________

÷3 ÷3

_______________

2 = x

______________

x = 2

_______________

We can verify this value is true by substituting it back into the equations and as a result also solving for the working y value.

x = 2 -> y = 2(x) - 3

2(2) - 3 = 4 - 3 = 1

y = 1

____________

x = 2 -> y = -(x) + 3

-(2) + 3 = -2 + 3 = 1

y = 1

Exact value of the definite integral is 320. Comparing the results: Exact value of the definite integral = 320, Trapezoidal Rule approximation (n = 4) = 340, Simpson's Rule approximation (n = 4) ≈ 246.6667.

What is trapezoid?

A trapezoid is a quadrilateral (a polygon with four sides) that has one pair of parallel sides. The parallel sides are called the bases of the trapezoid, while the non-parallel sides are called the legs.

To approximate the value of the definite integral ∫[0, 4] 5x * x^2 dx using the Trapezoidal Rule and Simpson's Rule, we need to specify the value of n, which represents the number of subintervals.

Let's calculate the approximations using n = 4 for both methods:

Trapezoidal Rule:

Using n = 4, we divide the interval [0, 4] into four subintervals of equal width: h = (4 - 0) / 4 = 1.

The approximated value using the Trapezoidal Rule is given by:

\(T_4 = (h/2) * [f(x_0) + 2f(x_1) + 2f(x_2) + 2f(x_3) + f(x_4)]\)

Plugging in the values:

\(T_4 = (1/2) * [f(0) + 2f(1) + 2f(2) + 2f(3) + f(4)]\\\\= (1/2) * [5(0)(0^2) + 2(5)(1)(1^2) + 2(5)(2)(2^2) + 2(5)(3)(3^2) + 5(4)(4^2)]\\\\= (1/2) * [0 + 10 + 80 + 270 + 320]\\\\= (1/2) * 680\\\\= 340\)

Simpson's Rule:

Using n = 4, we divide the interval [0, 4] into four subintervals of equal width: h = (4 - 0) / 4 = 1.

The approximated value using Simpson's Rule is given by:

\(S_4 = (h/3) * [f(x_0) + 4f(x_1) + 2f(x_2) + 4f(x_3) + f(x_4)]\)

Plugging in the values:

\(S_4 = (1/3) * [f(0) + 4f(1) + 2f(2) + 4f(3) + f(4)]\\\\= (1/3) * [5(0)(0^2) + 4(5)(1)(1^2) + 2(5)(2)(2^2) + 4(5)(3)(3^2) + 5(4)(4^2)]\\\\= (1/3) * [0 + 20 + 40 + 360 + 320]\\\\= (1/3) * 740\\\\= 246.6667\)

Exact value of the definite integral:

∫[0, 4] 5x * \(x^2\) dx = [(5/4) * \(x^4\)] evaluated from 0 to 4

\(= (5/4) * 4^4 - (5/4) * 0^4\\\\= (5/4) * 256 - (5/4) * 0\\\\= 320 - 0\\\\= 320\)

Comparing the results:

Exact value of the definite integral = 320

Trapezoidal Rule approximation (n = 4) = 340

Simpson's Rule approximation (n = 4) ≈ 246.6667

As we can see, the Trapezoidal Rule approximation is slightly greater than the exact value, while Simpson's Rule approximation is less than the exact value.

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Answer:

-10

Step-by-step explanation:

g(-3)=3×3 -4                                                              

       =9-4

       =5

Answer: 5

Step-by-step explanation:

g(x)=x²-4

g(-3)=(-3)²-4

g(-3)=9-4

g(-3)=5

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Answer:

y = x in the slope intercept form

y - 2 = 1(x -2) in the point-slope form of a line

Step-by-step explanation:

Perpendicular slopes are opposite reciprocals of each other.  So the perpendicular slope would be 1.

We could write this in the point slope form of a line and the answer would be:

y - 2 = 1(x -2)  This would be the point slope form of a line.

If you want your answer in the slope intercept form

y -2 = 1(x-2)

y - 2 = x - 2  Add two to both sides

y = x

WHAT DO WE KNOW ABOUT PERPENDICULAR LINES ?

IS THAT WHEN THEIR GRADIENTS ARE MULTIPLIED THEY GIVE A PRODUCT OF -1.

TO FIND THE GRADIENT OF THE LINE PERPENDICULAR TO THE LINE WITH SLOPE/GRADIENT -1 WE CAN SAY

\(m1 \times m2 = - 1 \\ - 1 \times m2 = - 1 \\ m2 = 1\)

THIS MEANS THAT THE GRADIENT OF THE NEW LINE IS 1

the general equation of the straight line is y=mx+c

\( - 2 = 1(2) + c \\ - 2 = 2 + c \\ c = - 2 - 2 \\ c = - 4\)

This means that

\(y = 1x - 4 \\ simply \\ y = x - 4\)

Answer:

Slope: 8

Intercept: 134

Answer:

H(3,-1)

Step-by-step explanation:

To find midpoint you have to get first coordinates of both points and divide it by 2. So (-3+9)/2 = 3 and (-4+2)/2 = - 1

Answer:

H(3, -1)

Step-by-step explanation:

Hi there!

We are given that there is a line segment KL, H is the midpoint of KL, and also the coordinates of K are (-3, -4), while the coordinates of L are (9, 2).

We want to find the coordinates of H

As H is the midpoint of KL, we can use the midpoint formula to find the coordinates of H

The midpoint formula is given as \((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

We have everything we need to find the midpoint, but let's label the values of the coordinates K and L to avoid confusion:

\(x_1=-3\\y_1=-4\\x_2=9\\y_2=2\)

Now substitute those values into the formula:

\((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)

\((\frac{-3+9}{2}, \frac{-4+2}{2})\)

Simplify

\((\frac{6}{2}, \frac{-2}{2})\)

Divide

(3, -1)

The coordinates of H are (3, -1)

Hope this helps!

Answer:

The area is rational because the numbers in the formula are rational and the numbers substituted into the formula are rational

Step-by-step explanation:

The area is rational because the numbers in the formula are rational numbers. Then the correct option is C.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

Sam is determining the area of a triangle.

In this triangle, the value for the height is a terminating decimal, and the value for the base is a repeating decimal.

The area of the triangle will be

A = (1/2) x b x h

The product of the two rational number will remain rational number.

The area is rational because the numbers in the formula are rational , and the numbers substituted into the formula are rational.

Then the correct option is C.

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The Original price of the bracelet, before tax, is $12.

Let's assume that the original price of the bracelet is x dollars.

The sales tax is 6%, which means that the tax paid is 6/100 * x = 0.06x dollars.

We know that Casey paid $0.72 in sales tax, so we can set up the equation:

0.06x = 0.72

Solving for x, we get:

x = 0.72/0.06

x = 12

Therefore, the original price of the bracelet, before tax, is $12.

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