an equal expretion to 28.3.

Answer: p = 1

Step-by-step explanation:

2/5 + p = 4/5 + 3/5p

-2/5        -2/5

      p = 2/5 + 3/5p

-3/5p            -3/5p

2/5p = 2/5

Divide both sides by 2/5

p = 1

Answer:

3). (3,-3)

Step-by-step explanation:

reflection in the x-axis : (-2,-4) → (-2,+4)

five units to right : (-2+5,+4) = (3,4)

seven units to downward : (3,4-7) = (3,-3)

Answer:

3)   (3, -3)

Step-by-step explanation:

If a point is reflected in the x-axis, the x-coordinate remains the same and the sign of the y-coordinate is changed.

Therefore, (-2, -4) reflected in the x-axis ⇒ (-2, 4)

If the point is translated 5 units right and 7 units down, add 5 units to the x-coordinate and subtract 7 units from the y-coordinate:

Therefore, (-2, 4) ⇒ (-2 + 5, 4 - 7) = (3, -3)

Answer:

8

Step-by-step explanation:

Answer:

4×(34-12)+3×6

4×22+3×6

88+18

=106

Step-by-step explanation:

Apply the BEDMAS rule

B=brackets

E=exponents

D=Division

M=multiplication

A=addition

S=subtraction

Answer:

106

Step-by-step explanation:

if you comment, I could help you

Fistly you follow a rule called: BODMAS

B means bracket

O means of

D means division

M means multiplication

A means addition

S means subtraction

so you follow the rules accordingly;

4x(22)+18

88+18

answer=106

To prove that (secx+tanx)² = (cscx+1)/(cscx-1), we will start with the left-hand side (LHS) of the equation and simplify it step by step until it matches the right-hand side (RHS) of the equation.

LHS: (secx+tanx)²

Using the trigonometric identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the LHS as:

LHS: (1/cosx + sinx/cosx)²

Now, let's find a common denominator and simplify:

LHS: [(1+sinx)/cosx]²

Expanding the squared term, we get:

LHS: (1+sinx)² / cos²x

Next, we will simplify the denominator:

LHS: (1+sinx)² / (1 - sin²x)

Using the Pythagorean identity sin²x + cos²x = 1, we can replace 1 - sin²x with cos²x:

LHS: (1+sinx)² / cos²x

Now, let's simplify the numerator by expanding it:

LHS: (1+2sinx+sin²x) / cos²x

Next, we will simplify the denominator by using the reciprocal identity cos²x = 1/sin²x:

LHS: (1+2sinx+sin²x) / (1/sin²x)

Now, let's simplify further by multiplying the numerator and denominator by sin²x:

LHS: sin²x(1+2sinx+sin²x) / 1

Expanding the numerator, we get:

LHS: (sin²x + 2sin³x + sin⁴x) / 1

Now, let's simplify the numerator by factoring out sin²x:

LHS: sin²x(1 + 2sinx + sin²x) / 1

Using the fact that sin²x = 1 - cos²x, we can rewrite the numerator:

LHS: sin²x(1 + 2sinx + (1-cos²x)) / 1

Simplifying further, we get:

LHS: sin²x(2sinx + 2 - cos²x) / 1

Using the fact that cos²x = 1 - sin²x, we can rewrite the numerator again:

LHS: sin²x(2sinx + 2 - (1-sin²x)) / 1

Simplifying the numerator, we have:

LHS: sin²x(2sinx + 1 + sin²x) / 1

Now, let's simplify the numerator by expanding it:

LHS: (2sin³x + sin²x + sin²x) / 1

LHS: 2sin³x + 2sin²x / 1

Finally, combining like terms, we get:

LHS: 2sin²x(sin x + 1) / 1

Now, let's simplify the RHS of the equation and see if it matches the LHS:

RHS: (cscx+1) / (cscx-1)

Using the reciprocal identity cscx = 1/sinx, we can rewrite the RHS:

RHS: (1/sinx + 1) / (1/sinx - 1)

Multiplying the numerator and denominator by sinx to simplify, we get:

RHS: (1 + sinx) / (1 - sinx)

Now, we can see that the LHS and RHS are equal:

LHS: 2sin²x(sin x + 1) / 1

RHS: (1 + sinx) / (1 - sinx)

Therefore, we have proven that (secx+tanx)² = (cscx+1)/(cscx-1).

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Answer:

+5

Step-by-step explanation:

There is a length of 5 between all numbers, meaning that 5 is added to each number to get the next one.

I hope this helps!

Please attach your maths question before asking..

Answer:

15

Step-by-step explanation:

Answer:

300/20 = 15

Step-by-step explanation:

There are a number of ways to solve this problem, but I will show you the easiest way.

3/20 x 100/1 =

First, do 3 x 100. This gives you 300.

Next, do 20 x 1. This gives you 20.

So now, your answer is 300/20.

300 divided by 20 is 15, so this simplified version of 300/20 is 15!

300/20 = 15 (simplified)

Answer:

x<_-5

Step-by-step explanation:

-4(x+3)<_-2-2x

-4x-12<_-2-2x

-4x+2x<_-2+12

-2x<_10

-2x/-2<_10/-2

x<_-5

Answer:

5 3/5  or 5.6

Step-by-step explanation:

Answer:

5 & 3/5

Step-by-step explanation:

4 plus 1 = 5

Since the fractions have the same denominator, this is easy. 1/5 + 2/5 = 3/5.

5 + 3/5 = 5 & 3/5

The pairs of complementary angles are:

1) 36° and 54°

4) 23° and 67°

5) 5° and 85°

Two angles A and B are complementary if the sum of the measures is equal to 90°.

For the given options, the 3 correct ones are:

1) 36° and 54°

The sum gives:

36° + 54° = 90°

So these are complementary.

4) 23° + 67° = 90°

These are also complementary.

5) 5° + 85° = 90°

These are also complementary.

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Answer:

(5 + 16)=7 + (4 x 7)

Step by step - explanation:

Solve:

Add the numbers

(5 + 16)= 21.

(4 x 7) = 28 + 7 = 35.

So the result is 21 = 35.

Hope that helps. x

Answer:

Step-by-step explanation:

(5+16)=7+(4.7)

(21)=7+(4.7)

21=7+(4.7)

21=7+(28)

21=7+28

21=35

Answer: 21=35

Answer:

a. around 36.36 hours; around 28.57 hours

b. $134.21; $159.38

Step-by-step explanation:

a. The driving time at 70 miles per hour is  28.57 hours

b The gasoline cost for this trip would be $159.38.

a. At an average speed of 55 miles per hour:

Time = 2000 miles / 55 miles per hour = 36.36 hours

At an average speed of 70 miles per hour:

Time = 2000 miles / 70 miles per hour = 28.57 hours

b. At an average speed of 55 miles per hour:

The car averages 38 miles per gallon on the highway.

Therefore, the gasoline required for a 2000-mile trip would be: 2000 miles / 38 miles per gallon = 52.63 gallons

The gasoline cost for this trip would be: 52.63 gallons * $2.55 per gallon = $134.13.

At an average speed of 70 miles per hour:

The car averages 32 miles per gallon on the highway.

Therefore, the gasoline required for a 2000-mile trip would be: 2000 miles / 32 miles per gallon = 62.50 gallons.

The gasoline cost for this trip would be: 62.50 gallons * $2.55 per gallon

= $159.38.

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Answer:

Step-by-step explanation:

Given that Ruben's distance from Barstow is d = |210 -60t|, you want to know the time t when he is exactly 90 miles from Barstow.

The absolute value will be 90 when the argument of the function is either -90 or +90.

The question resolves to two equations:

These two-step linear equations can be solved in the usual way:

Then ...

Ruben is 90 miles from Barstow after driving 2 hours, and again after driving 5 hours.

Answer:

The y-axis is upside down, meaning that instead of the values increasing as they go up, they decrease.

The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The standard equation of a quadratic function is:

y = ax² + bx + c

1) Given that:

x² + 4x + 3 = 0

subtract 3 from both sides:

x² + 4x = -3

add to both sides the square of half the coefficient of x:

x² + 4x + 4 = -3 + 4

(x + 2)² = 1

2) Given that:

x² - 6x + 13 = 0

subtract 13 from both sides:

x² - 6x = -13

add to both sides the square of half the coefficient of x:

x² - 6x + 9 = -13 + 9

(x - 3)² = -4

The equations are (x + 2)² = 1 and (x - 3)² = -4

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The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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Answer:

41° and 49°

Step-by-step explanation:

Complementary angles are angles that sum up to 90°.

Let x represent the smaller angle, then the bigger angle will be represented with x + 8:

x + x + 8 = 90°

2x + 8 = 90°

2x = 82°

x = 41° this is the measure of smaller angle, then the bigger angle wpis 49°

The answer is:

Work/explanation:

If two angles are complementary, their measures add to 90°.

So we can set up an equation to find the angles. Let the unknown angle be w, and its complement will be w + 8:

w + w + 8 = 90

Combine like Terms

2w + 8 = 90

2w = 82

w= 41

The other angle measures 8° more than the measure of w:

41 + 8 = 49

Answer:

b: -30 feet

Step-by-step explanation:

Process of elimination. the answer must end in 5 or 0, because we are moving at a rate of -5, and any multiple of 5 or -5 ends in 0 or 5. this eliminates a or c. the answer must be negative because we need the TOTAL change in altitude, and we are traveling towards the ground, which eliminates d. (i may be mistaken, and the wording actually means you are travelling "towards" the ground but the negative means you are going in the opposite direction of the ground, in which case the answer is d: 30 feet)

The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.

the correct answer is C. debit to allowance for credit losses of R4,400.

To determine the adjusting journal entry for J&amp;L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.

Beginning balance of accounts receivable: R200,000

Services delivered on credit: R660,000

Collections from debtors: R640,000

To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:

Ending accounts receivable = (Beginning balance + Services delivered) - Collections

Ending accounts receivable = (R200,000 + R660,000) - R640,000

Ending accounts receivable = R220,000

Now, we need to calculate the adjustment for the allowance for credit losses. J&amp;L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:

Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage

Allowance for credit losses adjustment = R220,000 * 2% = R4,400

Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:

the correct answer is C. debit to allowance for credit losses of R4,400.

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Answer:

The center of the circle represented by given equation is (−1,3) and its radius is 3.

Explanation:

An equation of the form (x−h)2+(y−k)2=r2, is the equation of a circle of radius r, with a center at (h,k).

Hence as the equation

(x+1)2+(y−3)2=9

⇔(x−(−1))2+(y−3)2=9=32

and hence the center of the circle represented by this equation is (−1,3) and radius is 3.

Answer: just took the test, this is wrong

Step-by-step explanation:

Using empirical rule in normal distribution, only option E is correct

A normal distribution is defined by its mean and standard deviation. The mean marks the center of the distribution, and the standard deviation determines how spread out the distribution is.

It extends exactly three standard deviations in each direction from the mean.

This statement is true. According to the Empirical Rule, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations. So, a normal distribution will extend three standard deviations in each direction from the mean.

II. The mean equals the median, which equals the mode.

This statement is false. For a normal distribution, the mean, median, and mode are all equal, but this is not always true for other distributions.

III. An interval one standard deviation wide centered at the mean has more

area under the curve than an interval one standard deviation wide centered at

a value to the right of the mean.

This statement is false. For a normal distribution, the area under the curve is symmetrical, so an interval one standard deviation wide centered at any point along the x-axis will have the same area under the curve.

The correct answer is E. I only.

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Answer:

i

Step-by-step explanation:

is

coooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooool

Answer:

What tiles need to be added to both sides to remove the smaller x-coefficient?

✔ 5 negative x-tiles

What tiles need to be added to both sides to remove the constant from the right side of the equation?

✔ 4 negative unit tiles

What is the solution?

✔ x = –6

Step-by-step explanation:

As per given data of respondents of four locations in the bar graph per40 potential customers , the average number of location chosen per potential customer is equal to 2.5.

As given,

Total number of potential customers =40

Number of  respondents from bar graph

At grocery stores= 40

At drugstores respondents =32

At health food stores =8

At big box stores =20

Average number=(40 +32+8+20)/40

                            = 100 /40

                            =2.5

Therefore, as per given data of respondents of four locations in the bar graph per40 potential customers , the average number of location chosen per potential customer is equal to 2.5.

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Answer:

Step-by-step explanation:

If your mind works better in degrees than it does radians, as does mine, it will be beneficial to us to see what degree measure this angle is. Convert it to degrees using the fact that 180° = π:

\(\frac{2\pi}{3}*\frac{180}{\pi}=120\) degrees

Now that we know that, we can plot that angle in a coordinate plane. The terminal side of the angle lands in quadrant 2. To find the reference angle, we subtract 120 from 180 and get that the reference angle is 60 degrees, which is the same as π/3.

Answer:

please see explanation

Step-by-step explanation:

\(10a {}^{2} + 4 = - 186 \\ 10a {}^{2} = - 186 - 4 \\ 10a {}^{2} = - 190 \\ divide \: bothsides \: by \: 10 \\ \frac{10a {}^{2} }{10} = \frac{ - 190}{10} \\ a { }^{2} = - 19 \\ square \: root \: bothsides \\ \sqrt{a {}^{2} } = \sqrt{ - 19} \\ a = - 1 \sqrt{19 } \\ a = + i \sqrt{19} \: or \: a = - i \sqrt{19} \)

Answer:

3cm +2.4cm+1.8cm+5cm=x