Please help me solve this problem

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Given :-

To find:-

Answer:-

As we know that the diagonals of a rhombus bisects each other at right angles, so in the given figure ∆WOX is a right angled triangle, right angled at O .

Also , we know that all sides of the rhombus are equal.

So that;

\(\implies WX = WY = YZ = ZX \dots (i) \\\)

Again, in ∆WOX , by Pythagoras theorem , we have;

\(\implies WX^2 = WO^2 + OX^2 \\\)

And here ,

So on substituting the respective values, we have;

\(\implies WX^2 = 8^2 + 6^2 \\\)

\(\implies WX^2 = 64 + 36 \\\)

\(\implies WX^2 = 100 \\\)

\(\implies WX = \sqrt{100}=\boxed{10} \\\)

Hence the measure of WX is 10 .

Now again from equation (i) , we have;

\(\implies WX = WY \\\)

Therefore,

\(\implies \underline{\underline{ WY = 10}} \\\)

Hence the measure of WY is 10 .

and we are done!

Answer:

WY is 5 units.

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

Properties of a rhombus:

Given diagonals of 6 and 8 units.

According to the properties we mentioned above, WY is a hypotenuse of a triangle with legs equal to the half of the diagonals.

Use Pythagorean theorem to find the length of WY:

On solving the provided question we can say that - surface area of the following figure cuboid will be - 148cm²

An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).

Total Surface Area = 2(lw + bw + lb)

Total Surface Area = \(2(24 + 30 + 20)\)

Total Surface Area = \(148cm^2\)

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On solving the provided question we can say that - surface area of the following figure cuboid will be - 148cm²

what is surface area ?

An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).

Total Surface Area = 2(lw + bw + lb)

Total Surface Area = - 148cm²

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The probability of rolling a pair of dice with the sum of the numbers on them being 8, 9, or 10 is 1/3.

When rolling a pair of dice, there are 36 possible outcomes.

Each die has six possible outcomes, which means that the pair of dice has 6 × 6 = 36 outcomes.

If we want to find the probability of rolling a pair of dice with the sum of the numbers on them being 8, 9, or 10, we can calculate it as follows:

Sum of 8:There are 5 ways to roll an 8: (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).

The probability of rolling an 8 is therefore 5/36.

Sum of 9:There are 4 ways to roll a 9: (3, 6), (4, 5), (5, 4), and (6, 3).

The probability of rolling a 9 is therefore 4/36.

Sum of 10:There are 3 ways to roll a 10: (4, 6), (5, 5), and (6, 4).

The probability of rolling a 10 is therefore 3/36.

To find the total probability of rolling a pair of dice with the sum of the numbers on them being 8, 9, or 10, we simply add the probabilities of each event:5/36 + 4/36 + 3/36 = 12/36 = 1/3

Therefore, the probability of rolling a pair of dice with the sum of the numbers on them being 8, 9, or 10 is 1/3. The required answer is 1/3

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Answer:

Not really. No.

Step-by-step explanation:

15.3 in scientific notation would be represented as "1.53e+1." 15.3 isn't a very large or tiny number. Usually numbers that would be represented by scientific notation would be numbers such as "600,000,000" or "0.00000012" etc. 15.3 is just a standard decimal so it's not really practical.

Hope this helps and have a nice day!

Answer:

19. 11

21. 119

Step-by-step explanation:

19.

(-5)² - [4(-3 ∙ 2 + 4)² + 3] + 5 =

= (-5)² - [4(-6 + 4)² + 3] + 5

= (-5)² - [4(-2)² + 3] + 5

= (-5)² - [4(4) + 3] + 5

= (-5)² - [16 + 3] + 5

= 25 - 19 + 5

= 6 + 5

= 11

21.

5 - 8[6 - (3 ∙ 2 - 8 + 2|4 ÷ -2 + (-3)| - 4) - 7 · 2] - 3² · (-2) =

= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-2 + (-3)| - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-5| - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (3 ∙ 2 - 8 + 2(5) - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (6 - 8 + 10 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (-2 + 10 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (8 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - 4 - 7 · 2] - 3² · (-2)

= 5 - 8[6 - 4 - 14] - 3² · (-2)

= 5 - 8[2 - 14] - 3² · (-2)

= 5 - 8[-12] - 3² · (-2)

= 5 - (-96) - 9 · (-2)

= 5 + 96 + 18

= 101 + 18

= 119

Answer:

A

Step-by-step explanation:

Initial value is where it first hits the y-axis and goes up by 1, right 2. Using rise over run, the slope is 1/2.

Compared to a 95% confidence interval, a 99% confidence interval will be wider.

A confidence interval is a range of values that is likely to contain the true population mean, with a certain level of confidence.

The level of confidence is usually represented as a percentage, such as 95% or 99%. The higher the level of confidence, the wider the confidence interval will be. This is because a higher level of confidence means that the researcher wants to be more certain that the true population mean falls within the interval, so they will make the interval wider to increase the chances of this happening.

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The coefficients and constant in the quadratic function f(x) = x² - 5x + 6 are coefficients: 1, -5 and constant: 6.

A quadratic function is an algebraic function with one or more variables where the largest exponent of the variable is two. The equation for a quadratic function is of the form f(x) = ax² + bx + c, where 'a' is a non-zero integer and a, b, and c are real numbers. A quadratic function is a polynomial of degree 2, and its definition is as follows.

The "a", "b", and "c" from "ax2 + bx + c" are used in the quadratic formula; they are known as the "numerical coefficients" of the quadratic equation. Therefore,

f(x) = x²– 5x + 6

a = 1

b = -5

c = 6

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Question:

Identifying the Coefficients and Constanta

Consider the quadratic function f(x) = x2 – 5x + 6.

What are the values of the coefficients and constant in the function?

The coordinates of the vertex are (-2, 2). The equation of the axis of symmetry is x = -2. The parabola opens downward.

We are given a graph. The graph represents a function. The function is quadratic in nature. We need to find the coordinates of the vertex. It is a downward parabola. The vertex of the parabola is its maximum.

The x-coordinate of the vertex of the parabola is -2. The corresponding y-coordinate of the vertex of the parabola is 2. Hence, the coordinates of the vertex are (-2, 2).

The graph shown is of a downward parabola. The axis of symmetry passes through the vertex and is parallel to the y-axis. The equation of the axis of symmetry is x = -2.

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The length of the top surface is given by h(x) = 11x + 1.

Area is the amount of space occupied by a two dimensional object or figure. The area (A) of a rectangle is given by:

A = length * width

Let h(x) represent the width, hence:

66x² + 17x + 1 = (6x + 1)(11x + 1)

Since the width is g(x) = 6x + 1, hence the length = 11x + 1

The length of the top surface is given by h(x) = 11x + 1.

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Answer: 4/5

Step-by-step explanation:

The congruent segments are the sides of the small triangles, then the congruent segments are: HA, BD and BF.

Therefore the answer are B, E and F.

The value of x = 1 and y = - 8 for the matrix

Matrix is a rectangular array or a table where numbers, expression, elements, symbols are arranged in rows and columns.

How to detrermine this

A = \(\left[\begin{array}{ccc}a_{11} &a_{12} \\a_{21} &a_{22}\\a_{31}&a_{32} \\\end{array}\right]\)   and        B = \(\left[\begin{array}{ccc}b_{11} &b_{12} \\b_{21} &b_{22}\\b_{31}&b_{32} \\\end{array}\right]\)

A + B   = \(\left[\begin{array}{ccc}a_{11}+ b_{11} &a_{12}+b_{12} \\a_{21}+b_{21} &a_{22} +b_{22}\\ a_{31} +b_{31} &x_{32} +b_{32} \\\end{array}\right]\)

Given,

\(\left[\begin{array}{ccc}4&0\\3&x\\1&2\end{array}\right]\)   +   \(\left[\begin{array}{ccc}6&-5\\y&4\\3&-1\end{array}\right]\)

= \(\left[\begin{array}{ccc}4+3&0-1\\3+y&x+4\\1+6&2-5\end{array}\right]\) = \(\left[\begin{array}{ccc}7&-1\\-5&5\\7&-3\end{array}\right]\)

To find the value of x

x + 4 = 5

Collect like terms

x = 5 - 4

x = 1

To find the value of y

3 + y = -5

Collect like terms

y = - 5 - 3

y = - 8

Therefore, the value of x = 1 and y = - 8

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Answer:

  a. 885,920

  b. year 8

Step-by-step explanation:

The population at a given time is described by the exponential formula ...

  P(t) = P0·e^(-0.04t)

where P0 is given as 1,000,000.

We are asked for the value of P(3). This ccan be found by substituting 3 for t in the equation and evaluating the numerical expression.

  P(3) = 1,000,000·e^(-0.04·3) = 1,000,000·e^(-0.12)

  P(3) ≈ 886,920

The population when t=3 is about 886,920.

__

We can put the given numbers in the equation and solve for t.

  750,000 = 1,000,000·e^(-0.04t)

  0.75 = e^(-0.04t) . . . . . divide by 1,000,000

  ln(0.75) = -0.04t . . . . . take the natural log

  -ln(0.75)/0.04 = t ≈ 7.192

The population will drop below 750,000 in year 8.

_____

Additional comment

These values can be confirmed by a graphing calculator.

Note that "year 1" is the year between t=0 and t=1. So, "year 8" is the year between t=7 and t=8.

Answer: -10 or 9

Step-by-step explanation:

Let the number be x. Then,

\(x^2 +x=90\\\\x^2 +x-90=0\\\\(x+10)(x-9)=0\\\\x=-10, 9\)

The pool will have 14, 477 gallons of water.

The amount of water that has leaked in 91 days = rate of leakage × number of days

Keep the values in formula

The amount of water that has leaked in 91 days = 11 × 91

Performing multiplication

The amount of water that has leaked in 91 days = 1001 gallons

Amount of water remaining after 91 days = total amount of water - the amount of water that has leaked in 91 days

Amount of water remaining after 91 days = 15,478 - 1001

Performing subtraction

Amount of water remaining after 91 days = 14, 477 gallons

Hence, after 91 days there will be 14, 477 gallons of water in the pool.

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The correct graph is the first one.

Graph is a data structure composed of nodes connected by edges, which represent a relationship between the two notes of are used to represent networks of communication that organized and even extract concept like thought or riders the nodes in the graph are often represent by Circle and it's by line but the other safe of the symbol are also use copper power Bluetooth for a organizing and understanding data and can be used to solve complex problem.

It represents the equation y = 20 + 10x, which means that the gymnast pays a flat fee of $20 for each month plus an additional $10 for each class he attends. Therefore, the graph will show a line going from the point 0, 20 through the point 1, 30.

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Answer: 28/r+4

Step-by-step explanation: Divide each term by r + 4 and simplify

Answer:

t=28/r+7

Step-by-step explanation:

Answer:

1. 5 times

2. 10 times

Step-by-step explanation:

1. Here, we want to know the number of times the population of town B is greater than the population of town A

The simple thing to do here is to divide the population of town B by the population of town A

From the question; population of town B is 2 * 10^5 while the population of town A is 4 * 10^4

So the number of times greater will be;

(2 * 10^5) / (4 * 10^4) = 5

So population of town B is 5 times greater

2. Just like the first question, to know the number of times, we simply divide the mass of object A by the mass of object B

That will be;

(4 * 10^-3) / (4 * 10^-4) = 10 times

So therefore object A is 10 times larger than object B

The calculator will use the formula y = mx + b to calculate the y-value for the given x-value.

Here are the steps to use a linear function calculator:

1. Open the linear function calculator in your web browser.

2. Enter the values for the slope (m) and y-intercept (b) of the linear function in the appropriate fields.

3. If you have two points on the line, you can enter those coordinates instead of the slope and y-intercept. To do this, select the "Two Points" option and enter the x and y values for each point.

4. If you are solving for a specific value of x, enter that value in the "x" field.

5. Click the "Calculate" button to get the corresponding y-value for the given x-value.

The calculator will use the formula y = mx + b to calculate the y-value for the given x-value. It will also graph the line on a coordinate plane, so you can see the slope and y-intercept visually. The linear function calculator is a useful tool for quickly solving linear equations and graphing lines.

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The expression of y - 4 = -2 ( x- (-4) ) in standard form is 2x + y = -4.

Standard form for the equation of a line is Ax + By =C where A is a positive integer and B and C are integers

A standard form is a method of writing mathematical concepts like an equation, expressions, or numbers in standard form. Example: 2.5 billion years is written as 2,500,000,000 years.

Given expression is,

y - 4 = -2(x-(-4))

y - 4 = -2 (x+4)

y - 4 = -2x - 8

Add 2x to each side

2x + y - 4 = 2x - 2x - 8

2x + y - 4 = - 8

Add 4 from each side

2x + y - 4 + 4  = - 8 + 4

2x + y = -4

Therefore,

The expression of y - 4 = -2 ( x- (-4) ) in standard form is 2x + y = -4.

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Answer:

What’s the question

Step-by-step explanation:

Answer:

u+43°=u_3°+u+3° (by exterior angle theorem)

u+43°= 2u

or, 2u_u=43°

or, u= 43°

is the value of u.....

9514 1404 393

Answer:

  4.17 hours

Step-by-step explanation:

The speed of light is about 670,616,629.4 miles per hour, so the travel time to Neptune is ...

  (2,798,842,000 mi)/(670,616,629.4 mi/h) ≈ 4.17 h

It takes about 4.17 hours for light to travel from the sun to Neptune.

Answer:

Move all the terms that do not contain k to the right side of the equation, then solve.

\(k=3+\frac{z}{2}\)

Hope this helps!

Answer:

The selection of the schools is done by random sampling, the remaining schools are considered as the control and stratified sampling for the selection of students for analysis is considered

Step-by-step explanation:

Based on the scenario, the following key highlights are presented:

This indicates that the selection of the schools is done by random sampling, the remaining schools are considered as the control and stratified sampling for the selection of students for analysis is considered.

Answer:

c. 153 miles

Step-by-step explanation:

in one hour, Tom has gone 30 miles, Juanita 21- so they are 51 miles apart (30+21=51)

multiply 51 times the 3 hours and you get 153 miles.

Answer:

9

Step-by-step explanation: