use compensation to add or subtract the following (a) 468+59. (b)458-49. (c) 499+599+699. d 10000- 599​

Answer:

32

Step-by-step explanation:

if you add 4- + 36 it's exactly the same as saying 4 - 36 = 32

pls mark brainlest for real :,,(

Using algebraic equation, the number of hot dogs sold is 40 and the number of  sodas sold is 90.

algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

Given that they sold one hot dogs at $3 and one sodas at $2.

The number of sodas sold was 10 more than two times the number of hot dogs sold.

Let the number of hot dogs sold is x

The number of sodas sold is 2x + 10

The school made total $300. SO that,

x*$3 + (2x+10)*$2 = $300

⇒ 3x + 4x + 20 = 300

⇒ 7x + 20 = 300

subtracting 20 from both side of equation

⇒ 7x = 300 - 20

⇒ 7x = 280

divided both side by 7

⇒ x = 280/7

⇒ x = 40

so the number of hot dogs sold is 40.

and the number of sodas sold is 2x + 10

= 2*40 + 10

= 80 + 10

= 90

The number of sodas sold is 90.

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Answer:

3.75 cm²

Step-by-step explanation:

Area of a triangle = 1/2bh = 1/2(2.5)(3) = 3.75 cm²

Answer:

c = 30m + 75

Step-by-step explanation:

Because the 75 dollars is only one time you add that to the total. Because it is 30 dollars PER MONTH and m is the number of months you would multiply those two in order to know how much you would be paying!

Hope this helps!

x intercept is gotten when y is zero.

Given that the ize

Answer:xet1234567890987654323456789

Step-by-step explanation:

87654323456789098765434567890

Answer:

yes.

simply subtract the coupons from the total.

56.12-9.85= $46.30

Lucille is being charged a simple interest rate of 0.4, or 40%.

To determine the simple interest rate Lucille is being charged, we can use the formula for simple interest:

Interest = Principal × Rate × Time

In this case, the principal (P) is $1500, the time (T) is 6 months (or 0.5 years), and the total amount to be paid back (A) is $1500 + $300 = $1800. We need to find the rate (R).

Interest = Principal × Rate × Time

$300 = $1500 × R × 0.5

Simplifying the equation:

$300 = $750R

To isolate R, we divide both sides of the equation by $750:

$300 / $750 = R

0.4 = R

Therefore, Lucille is being charged a simple interest rate of 0.4, or 40%.

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To calculate the ratio as a decimal, we divide the number of owners by the total population for each city.

For Indianapolis: Ratio = 6,245 / 0.9 million = 0.006938

For New York: Ratio = 911,216 / 18.6 million = 0.049019

For Cairo: Ratio = 10,598 / 19.1 million = 0.000554

For Beijing: Ratio = 959,611 / 21.2 million = 0.045270

For Tokyo: Ratio = 1,700,510 / 26.5 million = 0.064234

To calculate the owners per 100, we multiply the ratio by 100.

For Indianapolis: Owners per 100 = 0.006938 * 100 = 0.7 (rounded to one decimal place)

For New York: Owners per 100 = 0.049019 * 100 = 4.9 (rounded to one decimal place)

For Cairo: Owners per 100 = 0.000554 * 100 = 0.1 (rounded to one decimal place)

For Beijing: Owners per 100 = 0.045270 * 100 = 4.5 (rounded to one decimal place)

For Tokyo: Owners per 100 = 0.064234 * 100 = 6.4 (rounded to one decimal place)

Therefore, the ratio as a decimal and the owners per 100 for each city are as follows:

Indianapolis: Ratio = 0.006938, Owners per 100 = 0.7

New York: Ratio = 0.049019, Owners per 100 = 4.9

Cairo: Ratio = 0.000554, Owners per 100 = 0.1

Beijing: Ratio = 0.045270, Owners per 100 = 4.5

Tokyo: Ratio = 0.064234, Owners per 100 = 6.4

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Answer:

To find the expected number of times you would expect to wait between 8 minutes and 17 minutes, we can use the properties of a normal distribution.

Given that the waiting time follows a normal distribution with a mean (μ) of 14 minutes and a standard deviation (σ) of 3 minutes, we can calculate the z-scores corresponding to the lower and upper bounds of the desired range.

For the lower bound of 8 minutes:

z = (x - μ) / σ = (8 - 14) / 3 = -2

For the upper bound of 17 minutes:

z = (x - μ) / σ = (17 - 14) / 3 = 1

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

The probability corresponding to z = -2 is approximately 0.0228, and the probability corresponding to z = 1 is approximately 0.8413.

To find the expected number of times within this range, we multiply the probability of each event by the number of trials (visits to the restaurant), which is 21 in this case.

Expected number of times = (probability of lower bound) * (number of trials) + (probability of upper bound) * (number of trials)

= (0.0228) * (21) + (0.8413) * (21)

= 0.4788 * 21 + 17.6953 * 21

≈ 10.0468 + 371.7906

≈ 381.8374

Rounded to the nearest whole number, the expected number of times you would expect to wait between 8 minutes and 17 minutes is 382.

Therefore, you would expect to wait between 8 minutes and 17 minutes approximately 382 times out of 21 visits to the restaurant

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Step-by-step explanation:

Answer:

y = 2x + 5

Step-by-step explanation:

To find the slope given a table of x and y coordinates, you use the point-slope formula, which is  y2 - y1 divided by x2 - x1. It's generally easier if you find a slope that doesn't have negative numbers involved.

In this case, you take the last two sets of ordered pairs (4,13) and (2,9) and plug those into the formula.

(13-9) / (4-2)

This gives you 4 / 2, which can be reduced to 2. So that means your slope is 2. This number represents the m variable in the slope-intercept equation.

Next, take the slope-intercept equation (y=mx+b) and plug in your slope value, and use one of the ordered pairs to discover the y-intercept (value b).

In this case, we'll pick the ordered pair of (4, 13) - x=4, y=13

the equation would be: 13 = 2(4) + b

13 = 8 + b

b = 5

Now that you have the slope (m) and y-intercept (b), you can write the equation as y = 2x + 5

Hope this helps!

The number is -4.

A Linear equation is an equation in which the highest power of all the variables is not more than 1.

Here, we are given that a number when divided by 2 is equal to the number increased by 2.

Let the number be x

then x divided by 2 = x/2

and the number increased by 2 = x + 2

Then, we get the following equation-

x/2 = x + 2

simplifying the equation further we get-

x = 2(x + 2)

x = 2x + (2)(2)

x = 2x + 4

x - 2x = 4

-x = 4

x = -4

Thus, the number is -4.

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Answer:

Step-by-step explanation:

Answer:

60 is composite

2,3,5 are prime

Step-by-step explanation:

The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.

An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.

To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.

The tangent of an angle is the ratio of the opposite side to the adjacent side,

So cot B = adjacent side / opposite side.

By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation

B = arctan(cot B).

Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,

B = arctan(cot B) = 56.31° (rounded to two decimal places)

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The complete question is: "Given cot B = 0.57736, determine the measure of angle B".

Answer: 94.2 cm

Step-by-step explanation:

      First, we know the formula to solve for the radius if given the area. It is a transformed version of the equation to solve for the area (A = πr²). We will substitute our area (A) and solve by dividing and finding the square root.

             \(\displaystyle r = \sqrt{\frac{A}{\pi} }\)

             \(\displaystyle r = \sqrt{\frac{706.5\; cm}{\pi} }\)

                r = 15

      Next, we will solve for the circumference using this radius and the given formula.

                C = 2πr

                C = 2π(15)

                C ≈ 94.24778 ≈ 94.2 cm

Answer:

(−12,2)

Step-by-step explanation:

1:

Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value

(4) and divide it by 2 to get 2

.

Therefore, the new point is

(−12,2)

2:

Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value

(−12) to get −10

.

Therefore, the new point is

(-10,4)

3:

Making the input of the function negative will multiply every x-value by

−

1

. To get the new point, we will take the x-value

(−12) and multiply it by −1 to get 12.

Therefore, the new point is

(12,4)

4:

Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value

(−12) by 4 to get −3

.

Therefore, the new point is

(−3,4)

5:

Multiplying the whole function by

4

increases all y-values by a factor of

4

, so the new y-value will be

4

times the original value

(4), or 16.

Therefore, the new point is

(−12,16)

6:

Multiplying the whole function by

−1

also multiplies every y-value by

−1

, so the new y-value will be

−1

times the original value

(4), or −4.

Therefore, the new point is

(−12,−4)

Answer: A.

The system is consistent because the rightmost column of the augmented matrix is not a pivot column.

Explanation: a system is consistent if and only if the rightmost column of the augmented matrix is not a pivot column. Since every column of the coefficient matrix is a pivot column, none of the leading coefficients are in the rightmost column of the augmented matrix. Therefore the rightmost column of the augmented matrix cannot be a pivot column and the system must be consistent.

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

The maximum and minimum values of the function is solved

Given data ,

We can find the maximum and minimum values of the function by taking the derivative of y with respect to x and setting it equal to zero.

y = (sin x)³ - (sin x)⁶

y' = 3(sin x)² cos x - 6(sin x)⁵ cos x

Setting y' equal to zero:

0 = 3(sin x)² cos x - 6(sin x)⁵ cos x

0 = 3(sin x)² cos x (1 - 2(sin x)³)

sin x = 0 or (sin x)³ = 1/2

If sin x = 0, then x = kπ for any integer k.

If (sin x)³ = 1/2, then sin x = (1/2)^(1/3) ≈ 0.866. This occurs when x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3 for any integer k.

To determine whether these values correspond to a maximum or minimum, we can use the second derivative test.

y'' = 6(sin x)³ cos² x - 15(sin x)⁴ cos² x - 9(sin x)⁴ cos x + 6(sin x)⁵ cos x

y'' = 3(sin x)³ cos x (4(sin x)² - 5(sin x)² - 3cos x + 2)

For x = kπ, y'' = 3(0)(-3cos(kπ) + 2) = 6 or -6, depending on the parity of k. This means that these points correspond to a maximum or minimum, respectively.

For x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3, y'' = 3(1/2)^(5/3) cos x (4(1/2)^(2/3) - 5(1/2)^(1/3) - 3cos x + 2). This expression is positive for x = π/3 + 2kπ/3 and negative for x = 5π/3 + 2kπ/3, which means that the former correspond to a minimum and the latter to a maximum.

Hence , the maximum value of the function is y = 27/64, which occurs at x = 5π/3 + 2kπ/3, and the minimum value is y = -1/64, which occurs at x = π/3 + 2kπ/3

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Answer:

Step-by-step explanation:

You want the maximum and minimum values of the function ...

  y = sin³(x) -sin⁶(x)

When we substitute sin³(x) = z, we have the quadratic expression ...

  y = z -z² . . . . . a quadratic function

Adding and subtracting 1/4, we can put this in vertex form:

  y = -(z -1/2)² +1/4

This version of the function describes a parabola that opens downward and has a vertex at (z, y) = (1/2, 1/4). The y-value of the vertex represents the maximum value of the function.

The maximum value of y is 1/4.

The sine function is a continuous function with a range of [-1, 1]. Then z will be a continuous function of x, with a similar range. We already know that y describes a function of z that is a parabola opening downward with a line of symmetry at z = 1/2. This means the most negative value of y will be found at z = -1 (the value of z farthest from the line of symmetry). That value of y is ...

  y = (-1) -(-1)² = -1 -1 = -2

The minimum value of y is -2.

__

Additional comment

The range of y is confirmed by a graphing calculator.

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Answer:

\(\boxed{\textsf{ The roots of the quadratic equation is \textbf{ (-4) and 3 }.}}\)

Step-by-step explanation:

A quadratic equation is given to us . Here we aren't given what to do with it. So , lets find out the roots of the equation . The given quadratic equation is :-

\(\sf\implies 4x^2+x-3 =0\)

Now with respect to Standard form ax²+bx + c . The roots of the equation can be find out by the quadratic formula also known as " Shreedharyacharya's Formula " .

Quadratic Formula :-

\(\boxed{\boxed{\sf x =\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}}\)

Now with respect to Standard Form we have ,

• a = 4 •b = 1 •c = (-3)

Put on the respective values :-

\(\sf\implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a} \\\\\sf\implies x =\dfrac{-1\pm\sqrt{1^2-4(1)(-3)}}{2(1)}\\\\\sf\implies x =\dfrac{-1\pm \sqrt{1+48}}{2}\\\\\sf\implies x =\dfrac{-1\pm \sqrt{49}}{2}\\\\\sf\implies x = \dfrac{-1\pm 7 }{2}\\\\\sf\implies x =\dfrac{-1-7}{2},\dfrac{-1+7}{2}\\\\\sf\implies x =\dfrac{-8}{2},\dfrac{6}{2}\\\\\sf\implies \boxed{\pink{\sf x = (-4) , 3 }}\)

Answer:

no I'm pretty sure. hope it helps

Answer: No

Step-by-step explanation:

First convert 10 feet to yards and also 20 inches to yards.

10 feet to yards is 3.3 and 20 inches to yards is  0.55

Now add them to see if they equal to 4 or greater than.

0.55 + 3.33= 3.88

3.88 is less than 4 so Anis will not be able to make a fence

Answer:

24 days

Step-by-step explanation:

Let the permissible time be Ro

Let the initial activity be R= 8Ro

From;

0.693/t1/2 × t= 2.303 log R/Ro

Half life of the radionuclide= t1/2 = 8 days.

Hence;

0.693/8 × t = 2.303 log 8

t= 2.1/0.087

t= 24 days

The best description of Mrs. Clarks expression is the product of four terms. Option D

An algebraic expression can be defined as an expression composed of variables, factors, terms, coefficients and constants.

They are also made up of mathematical operations, such as;

Also, terms are described as either a single variable, number or numbers and variables that are multiplied together.

Terms are either separated by the positive or negative signs( + or −) and sometimes by divide.

Given the expression;

(4x)-(9y), the product is sort

Hence, the two terms, 4x and -9y are multiplied

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a) The 95% confidence interval estimate for the population mean spending by a customer on visiting salon per month is given as follows:

(747, 853).

b) The sampling error at the 95% confidence level is of: 35.8.

We have the standard deviation for the population is known, hence the z-distribution is used to calculate the confidence interval.

The equation that gives the bounds of the confidence interval is presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The remaining parameters are given as follows:

\(\overline{x} = 800, \sigma = 200, n = 55\)

Then the lower bound of the interval is calculated as follows:

800 - 1.96 x 200/square root of 55 = 747.

The upper bound of the interval is calculated as follows:

800 + 1.96 x 200/square root of 55 = 853.

For a sample size of n = 120, the sampling error is obtained as follows:

Sampling error = 1.96 x 200/square root of 120 = 35.8.

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Answer:

3cm for width and 8cm for length the area for the rectangle is 24cm

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172