hi, I tried the answer 8.95 from a previous tutor but it said incorrect. can you help me

Answer:

x = 8

Step-by-step explanation:

4√64 = 4x

Divide both sides by 4.

√64 = x

Solve the square root.

8 = x

The association becomes weaker as it approaches zero. The stronger it is, the closer it is to +/-1.

An analysis of two variables' relationships using statistics is called a correlation. 2 Keep in mind the simple rule that the connection is weaker the closer it is to 0. The stronger it is, the closer it is to +/-1.

When the correlation coefficient is zero or almost zero, there is no discernible relationship between the variables. In a perfect correlation, where a change in one variable accurately predicts changes in the other, the coefficient is either 1.0 or -1.0.

Always a value between -1 and 1, r. r > 0 denotes a favourable connection. A negative connection is indicated by r 0. A extremely weak linear relationship is shown by r values close to 0.

Therefore, the statement is true.

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The association becomes weaker as it approaches zero. The stronger it is, the closer it is to +/-1.

An analysis of two variables' relationships using statistics is called a correlation. 2 Keep in mind the simple rule that the connection is weaker the closer it is to 0. The stronger it is, the closer it is to +/-1.

When the correlation coefficient is zero or almost zero, there is no discernible relationship between the variables. In a perfect correlation, where a change in one variable accurately predicts changes in the other, the coefficient is either 1.0 or -1.0.

Always a value between -1 and 1, r. r > 0 denotes a favourable connection. A negative connection is indicated by r 0. A extremely weak linear relationship is shown by r values close to 0.

Therefore, the statement is true.

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Answer:

Step-by-step explanation:

Assuming that the given dimensions of 13, 13, 13 refer to the base of the rectangular pyramid, we can calculate the surface area of the pyramid as follows:

First, we need to calculate the area of the rectangular base, which is simply length x width:

Area of rectangular base = 13 x 13 = 169 square units

Next, we need to calculate the area of each triangular face of the pyramid. Since the rectangular base has two sets of parallel sides, there are two types of triangular faces: the isosceles triangles on the sides and the right triangles on the front and back.

To calculate the area of the isosceles triangles, we need to first find the length of the slant height, which can be found using the Pythagorean theorem:

a² + b² = c²

where a and b are the base and height of the triangle (both equal to 13 in this case), and c is the slant height.

13² + 13² = c²

338 = c²

c ≈ 18.38

Now that we have the slant height, we can calculate the area of each isosceles triangle using the formula:

Area of isosceles triangle = (1/2) x base x height

Area of isosceles triangle = (1/2) x 13 x 18.38

Area of isosceles triangle ≈ 119.14 square units

To calculate the area of each right triangle, we need to use the same slant height of 18.38, along with the height of the pyramid, which is also 13. Then we can use the formula:

Area of right triangle = (1/2) x base x height

Area of right triangle = (1/2) x 13 x 18.38

Area of right triangle ≈ 119.14 square units

Since there are two of each type of triangular face, the total surface area of the pyramid is:

Surface area = area of rectangular base + 2 x area of isosceles triangle + 2 x area of right triangle

Surface area = 169 + 2 x 119.14 + 2 x 119.14

Surface area = 546.28 square units

Therefore, the surface area of the rectangular pyramid with base dimensions of 13 x 13 and height of 13 is approximately 546.28 square units.

Answer:

Step-by-step explanation:

Chocolate cakes:   2  6  10  14

Angel-food cakes:  3  9  15  21

Part a; compounded semiannually (n = 2); CI =  $6,390.

Part b: compounded quarterly ( n = 4) ; CI =  $6,425

Part c: compounded monthly (n = 12): CI =  $6,450

Part d: compounded continuously; CI =  $6,467.

The compound interest is calumniated by formula.

A = P(1 + r/100n)∧nt

In which,

A  = amount after compounding

P = principal amount  ($20,000 )

n = number of time principal amount compounded in a year.

t = total time in years (7 years)

r= rate of interest (4%)

Part a; compounded semiannually (n = 2)

A = P(1 + r/100n)∧nt

A = 20,000(1 + 4/200)∧(2x7)

A = 26390

CI = A - P

CI =  26,390 -  20,000

CI =  $6,390.

Part b: compounded quarterly ( n = 4)

A = 20,000(1 + 4/400)∧(4x7)

A = 26425

CI = A - P

CI =  26,425 -  20,000

CI =  $6,425

Part c: compounded monthly (n = 12)

A = 20,000(1 + 4/1200)∧(12x7)

A = 26450

CI = A - P

CI =  26,450-  20,000

CI =  $6,450

Part d: compounded continuously.

P = P₀e∧rt

P = (20,000)(2.72)∧(0.04 x 7)

P = 20,000 x 1.32

P = 26,467

CI =  26,467 - 20, 000

CI =  $6,467.

Thus, the for compounded continuously is $6,467.

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Answer: 8 units

Step-by-step explanation:

The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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Answer:

Step-by-step explanation:

From the given information:

The present value of the house = 128000

interest rate compounded monthly r = 7.8% = 0.078

number of months in a year n= 12

duration of time t = 30 years

To find their regular monthly payment, we have:

\(PV = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{r}{n})^{-nt}}{\dfrac{r}{n}} \end {bmatrix}\)

\(128000 = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{0.078}{12})^{- 12*30}}{\dfrac{0.078}{12}} \end {bmatrix}\)

128000 = 138.914 P

P = 128000/138.914

P = $921.433

∴ Their regular monthly payment P = $921.433

To find the unpaid balance when they begin paying the $1400.

when they begin the payment ,

t = 30 year - 5years

t= 25 years

\(PV= 921.433 \begin {bmatrix} \dfrac{1 - (1 - \dfrac{0.078}{12})^{25*30}}{\dfrac{0.078}{12}} \end {bmatrix}\)

PV = $121718.2714

C) In order to estimate how many payments of $1400  it will take to pay off the loan, we have:

\(121718.2714 = \begin {bmatrix} \dfrac{1300 (1 - \dfrac{12.078}{12}))^{-nt}}{\dfrac{0.078}{12}} \end {bmatrix}\)

\(121718.2714 = 200000 \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}\)

\(\dfrac{121718.2714}{200000 } = \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}\)

\(0.60859 = \begin {bmatrix} (1 - \dfrac{12}{12.078}))^{nt} \end {bmatrix}\)

\(0.60859 = (0.006458)^{nt}\)

\(nt = \dfrac{0.60859}{0.006458}\)

nt = 94.238 payments is required to pay off the loan.

How much interest will they save by paying the loan using the number of payments from part (c)?

The total amount of interest payed on $921.433 = 921.433 × 30(12) years

= 331715.88

The total amount paid using 921.433 and 1300 = (921.433 × 60 )+( 1300 + 94.238)

= 177795.38

The amount of interest saved = 331715.88  - 177795.38

The amount of interest saved = $153920.5

Answer:

3

Step-by-step explanation:

Let x = # of boxes of felt-tip pens.

(x)(3.44)+(4x)(4.41) = 63.24

21.08x = 63.24

x = 3

Because x = 3, the man bought 3 boxes of felt-tip pens and 12 boxes of ballpoint pens.

Based on the Law of Cosines; it was proven that:

Please note that the given equation on number 3 is wrong. The correct equation should be: a² + b² + 2bx = c². The explanation why the given equation is incorrect will be explained later.

Based on the unshaded triangle, we can find that:

cos Θ = x/a

Next, we will prove that: cos (180 - C) = x/a

Remember that:

cos (A + B) = cos A cos B - sin A sin B

Law of Cosines: c² = a² + b² - 2ab. cos C

cos C = - [c² - (a² + b²)] /2ab ... (i)

Then:

cos Θ = cos (180 - C)

cos (180 - C) = cos 180 . cos C - sin 180 . sin  C

We subtitute equation (i):

cos (180 - C) = (-1) (- [c² - ((a² + b²)] / 2ab) - 0 sin C

cos (180 - C) = [c² - (a² + b²)]/ 2ab ... (ii)

If we focus on the unshaded triangle, we can find an equation of a, where:

a² = h² + x² ... (iii)

And if we combine both triangle into a giant triangle, we can make another equation of c. where:

c² = (x + b)² + h² ... (iv)

We will subtitute equation (iv) into equation (ii):

cos (180 - C) =  [c² - (a² + b²)]/ 2ab

cos (180 - C) = [(x + b)² + h² - (a² + b²)] / 2ab

cos (180 - C) = [x² + b² + 2bx + h² - a² - b²] / 2ab

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab ... (v)

We subtitute equation (iii) into equation (v):

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab

cos (180 - C) = [a² + 2bx - a²] / 2ab

cos (180 - C) = 2bx / 2ab

cos (180 - C) = x/a --> PROVEN!

Next, we will try to show why the given equation of a² + b² - 2bx = c² is incorrect.

We know that:

a² + b² - 2ab cos C = c²

c² = (x + b)² + h²

We will try to find the value of cos C:

a² + b² - 2ab cos C = (x + b)² + h²

a² + b² - 2ab cos C = x² + b² + 2bx + h²

a² - 2ab cos C = a² + 2bx

- 2 ab cos C = 2bx

cos C = - x/a

We will subtitute the value of cos C under the Law of Cosines:

c² = a² + b² - 2ab cos C

c² = a² + b² - 2ab (- x/a)

c² = a² + b² + 2bx --> PROVEN!

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Answer: x=3

Step-by-step explanation:

from figure

=>tan45= x/3

=>x= 3tan45

=>x=3

Answer:

Step-by-step explanation:

here hypotenuse is x

since it is an isosceles triangle the other side of the triangle also must 3.

using pythagoras theorem

a^2 + b^2 = c^2

3^2 + 3^2 = x^2

9 + 9 = x^2

18 = x^2

\(\sqrt{18} = x\)

Answer: the answer is C for 2 also for ever 50 buttons sold, 45 dollars is gained so the equation is y=50x+45?

Step-by-step explanation:

so c=3m+2 right? meaning that the total cost (C) is going to equal however many miles (m) was driven plus 2. since we've been told that the cab had been driven for 12 miles, all we need to do is simply plug in 12 for m. so our new equation looks like this (parenthesis means multiply). c=3(12)+2

3x12=36 and adding two would give you 38

so the total cost would be 38

hope this helps. :)

Therefore, there are 51 pennies, 47 nickels, and 47 dimes in the bag.

An equation is a mathematical statement that expresses the equality between two expressions or values. Equations typically consist of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the value(s) of the variable(s) that make the equation true. Equations are commonly used in algebra and other branches of mathematics to represent real-world problems and to make predictions based on data. Some common examples of equations include:

\(2x + 3 = 7\\y =2x +5\\a^{2} +b^{2} =c^{2}\)

by the question.

Let's start by assigning variables to the number of each type of coin in the bag. Let p be the number of pennies, n be the number of nickels, and d be the number of dimes. We can then set up a system of equations based on the information given in the problem:

\(p + n + d = 145 (equation 1)\)

\(0.01p + 0.05n + 0.1d = 8.6 (equation 2)\)

\(n = d (equation 3)\)

Equation 1 simply states that the total number of coins is 145. Equation 2 represents the total value of the coins, which we can calculate by multiplying the number of each type of coin by its value (in dollars) and adding them together. Equation 3 tells us that the number of nickels is equal to the number of dimes.

We can use equation 3 to substitute d for n in equations 1 and 2:

\(p + n + n = 145\)

\(0.01p + 0.05n + 0.1n = 8.6\)

Simplifying these equations gives us:

\(2n + p = 145 (equation 4)\)

\(0.15n + 0.01p = 8.6 (equation 5)\)

We can use equation 4 to solve for p in terms of n:

\(p = 145 - 2n\)

We can then substitute this expression for p into equation 5:

\(0.15n + 0.01(145 - 2n) = 8.6\)

Simplifying and solving for n gives:

\(0.13n = 6.15\)

\(n =47\)

Now that we know n, we can use equation 4 to solve for p:

\(2n + p = 145\)

\(2(47) + p = 145\)

\(p = 51\)

Finally, we can use equation 3 to find d:

\(d = n\)

\(d = 47\)

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Assuming that the lines FG and HG are tangent, you need to remember that, by definition, when two tangents intersect outside a circle, the angle formed by them is the difference of the intercepted arcs divided by 2.

Then:

In this case, you know that the angle formed by the tangents FG and HG is:

And the Intercepted arcs are the following:

By definition, a circle has 360 degrees; then you can find the measure of the arc FIH as following:

Knowing that, you can substitute values into the equation in order to find the measure of the angle FGH:

The answer is: First option.

Answer:

Step-by-step explanation:

Vertical Angles are the angles opposite each other when two lines cross. "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down

So we can see that we have 4 pairs of vertical angles in this figure

the pairs of vertical angles are:

(1 , 4) , (2 , 3) , (5 , 8) , (6 , 7)

use any one in your answer, they are all correct

A linear pair is a pair of angles on the same straight line and hence add up to 180 degrees

here, we have several pairs of linear pairs

(1, 2) , (3,4) , (5,6) , (7,8) , (1,3) , (2,4) , (5,7) , (6,8)

use any one of the above pairs, all these are correct answers

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles

here, we have 2 transversals, 'l and m'

Hence we have 4 pairs of corresponding angles

Since congruent angles are just angles with the same magnitude, the corresponding angles are also congruent angles

(1,5) , (2,6) , (3, 7) , (4,8)

All the above are correct answers, you can use either one of them

Answer:

Vertical angles would be angles 2 and 3

A linear pair would be angles 5 and 6

A congruent angle would be angles 1 and 5

Answer:

-13

Step-by-step explanation:

Substitute:  -5 + 4 × (-2)

Remove the parentheses: -5 -4 ×2

Calculate the product or quotient: -5 -8

Calculate the sum or difference: -13

Answer:

\(x = 4\)

Step-by-step explanation:

\(5(x - 6) + 3 = - 7 \\ 5x - 30 + 3 = - 7 \\ 5x - 27 = - 7 \\ 5x = 20 \\ x = 4\)

Answer:

x=4

Step-by-step explanation:

5(x-6)+3=-7

Subtract 3 from each side

5(x-6)+3-3=-7-3

5(x-6)=-10

Divide by 5

5/5(x-6)=-10/5

x-6 = -2

Add 6 to each side

x-6+6 = -2+6

x = 4

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

We can say that after answering the offered question For instance, if equation fixing a plumbing problem takes an hour, the cost would be $75. If the repair takes two hours, it will cost $125, and so on.

An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.

{(1, 75), (2, 125), (3, 175), (4, 225), (5, 275)}

The cost to repair a plumbing issue based on the number of hours is represented by these sets of ordered pairs. For instance, if fixing a plumbing problem takes an hour, the cost would be $75. If the repair takes two hours, it will cost $125, and so on.

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Answer: 15 square yards

Step-by-step explanation:

area of a triangle is 1/2bxh so the base is 10 and the height is 3. Therefore 1/2 the base or 1/2 of 10 is five and the height is still three then you multiply so 5 x 3= 15

hope this helps

Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .

Given ,

f(x) = \(4[(1/2)^{x}]\)

Mathematically the graph will of exponential in nature.

So,

Let us assume few values to understand the nature of graph.

Firstly,

Let x= 1

f(x) = \(4[(1/2)^{1}]\)

f(x) = 2

Let x = 2

f(x) = \(4[(1/2)^{2}]\)

f(x) = 1

Let x = 3

f(x) = \(4[(1/2)^{3}]\)

f(x) = 0.5

Thus from these values of f(x) corresponding to the values of x second graph will be correct .

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Answer:

\(\frac{9}{28}\)

Step-by-step explanation:

Shaded area = 1 - \(\frac{1}{4}\) - \(\frac{3}{7}\) (Make them have the same denominator, 28)

                      = \(\frac{28}{28}\) - \(\frac{7}{28}\) - \(\frac{12}{28}\) (Simplify)

                      = \(\frac{28}{28}\) - \(\frac{19}{28}\) (Evaluate)

                      = \(\frac{9}{28}\)

Answer:

9/28 is the answer

Step-by-step explanation:

it maybe really late.

The equations will be solved by putting the values of the variables in the bracket.

1. (b + a) = 4; use a = 1 and b = 3

( 1 + 3) = 4

2) c(b + b); use b = 1 and c = 5

5(1 + 1)

= 5 × 2 = 10

3) 4+ pm; use m = 4 and p =3

= 4 + (4 × 3)

= 4 + 12

= 16

4) 5+ pm; use m = 4 and p = 2

= 5 + (2 × 4)

= 5 + 8

= 13

5) m(p + 2); use m = 5 and p = 2

= 5(2 + 2)

= 5 × 4

= 20

6) h+j²; use h = 1 and j = 4

= 1 + 4²

= 17

7) y-(x - 5); use x = 5 and y = 6

= 6 - (5 - 5)

= 6 - 0

= 6

8) 4xy; use x = 5 and y = 2

= 4 × 5 × 2

= 40

9) n(p + 3); use n = 2 and p = 2

= 2(2 + 3)

= 10

10) y +x+x; use x = 3 and y=5

= 5 + 3 + 3

= 11

11) 6+ a-b; use a = 4 and b = 4

= 6 + 4 - 4

= 6

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Choice D is correct

Every point on circle is equidistant from the point at its centre and that fixed distance = radius of that circle.

Answer:

I think X = 35 but I'm not sure if it's not right let me know

Given

To find

we know that

Inserting the value of radius

Answer:

Step-by-step explanation:

C IS YOUR ANSWER.

All linear functions can be written in the form y = mx + b, where m is the slope and b is the y-intercept (slope-intercept form). Alternatively, a linear function can be expressed in the form y – y0 = m(x – x0), where m is the slope and (x0, y0) is a point on the line (point-slope form

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