Solve for x.
r=x-h
I need help with some school work

The value of a for the given expression will be -3.31.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3.6= − a/0.8 − 1.6 − 0.8 a ​ −1.6. The value of a will be calculated as below,

3.6 = − a/0.8 − 1.6 − 0.8 a ​ −1.6

3.6 + 1.6 + 1.6 = -a / 0.8  - 0.8a

6.8 = ( -a - 0.64a ) / 0.8

5.44 = -1.64a

a = -3.31

Therefore, the value of a will be -3.31.

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Answer:

Binomial

Step-by-step explanation:

Simplify the expression :

There are 2 terms.

Hence, it is a binomial

Answer:

Linear expression

Step-by-step explanation:

First, simplify the expression.

Given expression: \(9p-10q+3-9p\)

Collect like terms:   \(9p-9p-10q+3\)

Combine like terms:   \(-10q+3\)

As each term of the expression is either a numeric constant or a variable with no exponent, this is a linear expression.

It can also be called a binomial expression since the expression only contains two terms (the constant and the variable).

The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6  < √7 <  π  < 2√6

(a)

π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)

√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)

2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)

√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)

(b)

Order from least to greatest:

√6  < √7 <  π  < 2√6

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The midpoint of segment YZ is (-a, -2b).

Given the coordinates of the rhombus WXYZ:

W(0, 4b)

X(2a, 0)

Y(0, -4b)

Z(-2a, 0)

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the coordinates of Y and Z:

Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)

= (-a, -2b)

Therefore, the midpoint of segment YZ is (-a, -2b).

To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.

Let's consider the segments joining the midpoints:

Segment joining the midpoints of WX and YZ:

Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)

Midpoint of YZ: (-a, -2b)

Slope of WX = (2b - 4b) / (a - 0) = -2b / a

Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a

The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.

We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.

Additionally, the midpoint of segment YZ is (-a, -2b).

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Answer:

74£

Step-by-step explanation: So we do 8£ x 8£ and get 64£ plus 10 will be 74£

Answer: YES

Step-by-step explanation: both equal 5 when divided.

Answer:

\( \frac {1}{3}x - 5 \)

Step-by-step explanation:

Let the unknown number be x.

Translating the word problem into an algebraic expression, we have;

\( \frac {1}{3}x - 5 \)

Or

\( \frac {x}{3} - 5 \)

Simplifying further, we have;

\( \frac {x}{3} = 5 \)

Cross-multiplying, we have;

x = 15

Therefore, the above algebraic expression is five less a third of a number.

The relation between total salary and saving can be represent by the equation, Y =  X + 292

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

Catniss is saving money to take a trip to the Capitol with her sister

Every week,

After taking out the $292, which she needs for her weekly expenses

And that amount she sets aside the same portion of her paycheck

After 10 weeks ,

Catniss has $405

Suppose, she is saving X amount every week,

And her total salary is, Y

Total salary = saving + weekly expenses

    Y            =  X + 292

So, she saved money after 10 week,

⇒ 10X

Given saving after weeks, $405

⇒ 10X = 405

⇒  X = 40.5

Y =  X + 292

   =  40.5 + 405

   =   $445.5

Hence, the equation is Y =  X + 292

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The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.

In this question we shall use the first and second derivative tests to determine the optimal dimensions of a rectangular plot of land. The perimeter (\(p\)), in feet, and the area of the rectangular plot (\(A\)), in square feet, of land are described below:

\(p = 2\cdot (w+l)\) (1)

\(A = w\cdot l\) (2)

Where:

In addition, the cost of fencing of the rectangular plot (\(C\)), in monetary units, is:

\(C = c\cdot p\) (3)

Where \(c\) is the fencing unit cost, in monetary units per foot.

Now we apply (2) and (3) in (1):

\(p = 2\cdot \left(\frac{A}{l}+l \right)\)

\(\frac{C}{c} = 2\cdot (\frac{A}{l}+l )\)

\(\frac{C\cdot l}{c} = 2\cdot (A+l^{2})\)

\(\frac{C\cdot l}{c}-2\cdot l^{2} = 2\cdot A\)

\(\frac{C\cdot l}{2\cdot c} - l^{2} = A\) (4)

We notice that fencing costs are directly proportional to the area to be fenced. Let suppose that cost is the maximum allowable and we proceed to perform the first and second derivative tests:

FDT

\(\frac{C}{2\cdot c}-2\cdot l = 0\)

\(l = \frac{C}{4\cdot c}\)

SDT

\(A'' = -2\)

Which means that length leads to a maximum area.

If we know that \(c = 8\) and \(C = 4000\), then the dimensions of the rectangular plot of land are, respectively:

\(l = \frac{4000}{4\cdot (8)}\)

\(l = 125\,ft\)

\(A = \frac{(4000)\cdot (125)}{2\cdot (8)} -125^{2}\)

\(A = 15625\,ft^{2}\)

\(w = \frac{15625\,ft^{2}}{125\,ft}\)

\(w = 125\,ft\)

The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.

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To solve the exercise you can use the following properties of rhombuses:

*AB = BC = CD = AD

*BO = OD and AO = OC

Now, as you can see the triangle COD is a right triangle, then you can use the trigonometric ratio cos (θ) to find the measure of the segment OD:

Then, you have

Finally, as BO = OD so, you have

Therefore, the length of diagonal BD is 6.4 cm.

Answer:

Step-by-step explanation:

You want to factor the trinomial. What two numbers multiply to equal 1, but add to equal 2? Thats easy, its just 1.

You now have (x + 1) twice, so you can just square it like this:

\((x+1)^2>0\)

We can make that term equal to 0 to get x = -1, but remember that this isnt an equation. This is an inequality, so x > -1

In order to graph this, you should shade everything to the right of -1 because we have the greater than sign. Make the circle open because we are not including -1. It is everything greater than -1

Answer:

Standard error = 0.070

Step-by-step explanation:

Formula for the standard error of the distribution of differences in sample proportions is;

σ_(A - B) = √((p_a^(1 - p_a^)/n_a) + (p_b^(1 - p_b^)/n_b))

We are given;

p_a^ = 0.48

n_a = 80

p_b^ = 0.13

n_b = 66

Thus;

σ_(A - B) = √((0.48(1 - 0.48)/80) + (0.14(1 - 0.13)/66))

σ_(A - B) = √0.00496545455

σ_(A - B) = 0.070

Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.

To answer the questions, we can analyze the given data set.

First, let's count the number of data points that satisfy each condition:

Greater than 28:

There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).

Less than 23:

There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).

Greater than 17.5:

There are 22 data points greater than 17.5.

Between 17.5 and 28:

There are 15 data points between 17.5 and 28.

Now, let's calculate the approximate percentage for each condition:

Percent greater than 28:

The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.

Percentage =\((9 / 24) \times 100 = 37.5\)%.

Percent less than 23:

Approximately, 8 out of 24 data points are less than 23.

Percentage = \((8 / 24) \times 100 = 33.3\)%.

Percent greater than 17.5:

Approximately, 22 out of 24 data points are greater than 17.5.

Percentage = \((22 / 24) \times 100 = 91.7\)%.

Percent between 17.5 and 28:

Approximately, 15 out of 24 data points are between 17.5 and 28.

Percentage = \((15 / 24) \times 100 = 62.5\)%.

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Step-by-step explanation:

Option (e) is the right answer.

The average rate of change of the function over the interval is 4

From the question, we have the following parameters that can be used in our computation:

y = 4x + 1

The interval is given as

[-1, 1)

The function is a linear function

This means that it has a constant average rate of change

From y = 4x + 1, we have

Rate = 4

Hence, the rate is 4

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Answer:

s

if sin x= 1/2, cos x= root 3/2,

x = 30 degrees

Answer:

the first answer is: y=2x  the second answer is y=2x+10

Step-by-step explanation:

Answer:

Concrete Operational Stage or Perceptive thinking

Answer:We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros

Step-by-step explanation:

Answer:

9x

Step-by-step explanation:

Answer:

9/64

Step-by-step explanation:

it is just 3/8 x 3/8

Answer:

96 $

Step-by-step explanation:

2

\( \frac{2}{5} \)

2

\(2 \times 240\)

\(480 \div 5\)

the answer is 96$

Answer:

96$

Step-by-step explanation:

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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Answer:

x= −  8 /13  = −1  8 /5  = −1.625

Step-by-step explanation:

either one is the answer

<3 Enjoy,

    Dea

Answer:

x=-1.625  Decimal form  

x= -13/8    Fraction form

Step-by-step explanation:

3(-2x-1)=2(x+5)

Use distributive property to solve-

-6x-3=2x+10

Now add like terms

-6x-3=2x+10

    +3       +3

   -6x=2x+13  (get the x by itself)

  -2x    -2x

-8x=13     Divide

x= -1.625   Decimal form

x=-13/8   Fraction form

Answer:

547 m

Step-by-step explanation:

Given :

Angle of depression, θ = 63°43' ; 43/60 = 0.7167 = 63 + 0.7167 = 63.7167°

The height, h = 270

The distance of park bench from the building, d is given by :

Tan θ = opposite / Adjacent

Tan 63.7167 = d / 270

d = 270 * Tan 63.7167

d = 546.70459

d, distance of Park bench from building is 547 m

The measure of the angles ∠OAT, angle ∠OTA, side AT, and side BT will be 90°, 34.5°, 5.82 units, and 5.82 units, respectively.

Given that:

TA and TB are tangents to O.

OA = 4 and ∠ATB = 69°.

Angle ∠OAT will be 90° because the tangent and radius intersect at a right angle.

Angle ∠OTA is half of the angle ∠ATB. Then we have

∠OTA = ∠ATB/ 2

∠OTA = 69° / 2

∠OTA = 34.5°

The measure of the length AT is calculated as,

tan 34.5° = 4 / AT

AT = 5.82

The measure of the length BT is calculated as,

tan 34.5° = 4 / BT

BT = 5.82

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Answer: f(8) = 620.6

Step-by-step explanation:

To solve, you must first use substitution, and replace the x value in the given function, with 8.

\(f(8)=\frac{750}{1 + 74e^{-0.734(8)} }\)

Next you follow PEMDAS to solve the rest of the equation to find f(8).

What is PEMDAS?

PEMDAS is the order of operations for mathematical expressions involving more than one operation.

You solve in the following order

In this case our next step is deal with the exponents.

And by doing so, you will be multiplying -0.734 by 8

\(f(8)=\frac{750}{1 + 74e^{-5.872} }\)

And typical with exponents we would raise the number or variable given to the power of the exponent.

However we have a continuous number in this case, which is e.

What is e?

e is a mathematical constant approximately equal to 2.71828

We can now use a calculator to find what e (2.71....) is when raise to the exponent -5.872. Which results to 0.002817 (0.0028172332293320237716146943697).

When continuing to use numbers in calculators, don't use the rounded or shortened of the full number. Make sure to use the all of the numbers (given in the calculator) to its full extent to maintain accuracy.

\(f(8)=\frac{750}{1 + 74(0.002817) }\)

Now multiply 74 and 0.002817.... (use the full number to multiply (0.0028172332293320237716146943697)). The product is (0.2084752589705697590994873833578).

\(f(8)=\frac{750}{1 + 0.2084 }\)

Now lets add 1 + 0.2084.... and you get 1.2084

\(f(8)=\frac{750}{1.2084 }\)

Last you need to divide:

and you get that

f(8) = 620.6167

Now lets go back to the question, and we see that is says for you to round your answer to the nearest tenth.

so your final answer is:

f(8) = 620.6

Answer:

16

Step-by-step explanation:

1x to 2x ratio

total is 24 oz, aka 3x or 1x+2x

24oz=3x

do some math

x=8oz

raisins = 2x = 16 oz

Answer:

Step-by-step explanation: 2x-16 oz