The sum of two numbers is 16 the smaller number is 9 less than the larger number

Answer:

1) 5°: 5 is halfway from 0 and 10

2) 5°: 5 is halfway through -5 and 15

3)-5°: -5 is halfway through 5 and -15

4)0°: 0 is halfway through -8 and 8

Answer:

1.5° F

2.5°F

3.-5°F

4.0°F

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.

Starting with the given inequality:

y + 7 ≤ -1

We can begin by subtracting 7 from both sides of the inequality:

y + 7 - 7 ≤ -1 - 7

y ≤ -8

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.

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The following question may be like this:

What is a solution of the inequality shown below? y+7≤-1

1. The base pay Carter makes regardless of computer sales is $100

2. The linear relationship that shows the sales will be P = 100 + 10x

From the information given, Carter is a salesperson who sells computers at an electronics store and he makes a base pay amount each day and then is paid a commission for every computer sale he makes.

The starting salary is $100. This is the base pay.

The commission given is $10 per good sold. Therefore, the expression will be:

= 100 + 10x

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Answer:

50.99

Step-by-step explanation:

do pi x 16.23 to find circumference.

To simplify the expression (x+5)(x^2-25)(x+5)^2(x-5)^2, we can begin by factoring the expressions:

(x+5) = (x+5)

(x^2-25) = (x-5)(x+5)

(x+5)^2 = (x+5)(x+5)

(x-5)^2 = (x-5)(x-5)

Now, we can substitute these factorized expressions back into the original expression:

(x+5)(x^2-25)(x+5)^2(x-5)^2 = (x+5)(x-5)(x+5)(x-5)(x+5)(x+5)(x-5)(x-5)

Simplifying further, we can combine like terms:

(x+5)(x-5)(x+5)(x-5)(x+5)(x+5)(x-5)(x-5) = (x+5)^3(x-5)^3

Therefore, the simplified expression is (x+5)^3(x-5)^3.

As for the domain of this expression, it includes all real numbers because there are no restrictions or limitations on the values that x can take. Therefore, the domain is (-∞, ∞).

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Answer:

A.

\( \frac{12}{5} \)

Step-by-step explanation:

tan ? = \( \frac{front}{side} \)

In picture, we know tan F = tan R

the length of side;

= √oblique² - front²

= √13² - 12²

= √169 - 144

= √25

side = 5 cm

So, tan R = \( \frac{front}{side} \)

= \( \frac{12}{5} \)

So, the answer is A

Given :-

To find:-

Answer:-

Since here the given two triangles are similar, therefore,

Hence ,

\(\implies \dfrac{DE}{DF}=\dfrac{CA}{AR}\\\)

\(\implies \tan F = \tan R \dots (1) \\\)

Now in ∆DEF ,

So on using Pythagoras theorem we have,

\(\implies DE^2 + EF^2 = DF^2 \\\)

\(\implies DE^2 = (13ft)^2-(12ft)^2\\\)

\(\implies DE^2 = 169ft^2-144ft^2\\\)

\(\implies DE^2 = 25ft^2 \\\)

\(\implies DE =\sqrt{25 ft^2} \\\)

\(\implies \underline{\underline{ DE = 5\ ft.}} \\\)

Now again we know that ,

\(\implies \tan\theta =\dfrac{perpendicular}{base}\\\)

And here ,

\(\implies \theta = \angle F \\\)

So ,

\(\implies \tan F = \dfrac{DE}{EF} \\\)

\(\implies \tan F =\dfrac{5ft}{12ft}=\boxed{\dfrac{5}{12}} \\\)

Hence from equation (1) , we have;

\(\implies \underline{\underline{\tan R =\dfrac{5}{12}}} \\\)

and we are done!

The ordered pairs of the given rational function are:

(-2, -5¹/₂), (-1, -5²/₃),(0, -1), (1, -5),(-1,

In mathematics, an ordered pair (a, b) is a pair of objects. The order in which objects appear in pairs is important.

The ordered pair (a, b) is different from the ordered pair (b, a) unless a = b. (By contrast, the unordered pair {a, b} corresponds to the unordered pair {b, a}.)  

We are given a rational function as:

f(x) = -3x + (2/(x - 2))

Now, to get the ordered pair, we can use different values of x and find the corresponding value of y.

Thus:

At x = 0, we have:

f(x) = -3(0) + (2/(0 - 2))

f(x) = -1

At x = 1, we have:

f(x) = -3(1) + (2/(1 - 2))

f(x) = -5

At x = -1, we have:

f(x) = -3(-1) + (2/(-1 - 2))

f(x) = -5 - 2/3

= -5²/₃

At x = -2, we have:

f(x) = -3(-2) + (2/(-2 - 2))

f(x) = -5 - 1/2 = -5¹/₂

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There will be 262080 strings of length 12  over the alphabet {a, b, c, d} start with aa or end with aa or both

To count the number of strings of length 12 over the alphabet {a, b, c, d} that start with "aa" or end with "aa" or both, we can use the principle of inclusion-exclusion.

Let A be the set of strings of length 12 that start with "aa", and let B be the set of strings of length 12 that end with "aa". We want to count the size of the union A ∪ B, which is the set of strings that satisfy at least one of the two conditions.

The size of A can be counted by fixing the first two positions to be "aa", and then the remaining 10 positions can be filled in with any of the four letters. Therefore, the size of A is 4^10.

Similarly, the size of B can be counted by fixing the last two positions to be "aa", and then the first 10 positions can be filled in with any of the four letters. Therefore, the size of B is also 4^10.

However, we have double-counted the strings that both start with "aa" and end with "aa". These strings have "aa" in the first two positions and "aa" in the last two positions, so they have the form "aa______aa", where the blank spaces can be filled in with any of the four letters. There are 4^8 such strings.

By the principle of inclusion-exclusion, the size of A ∪ B is given by:

|A ∪ B| = |A| + |B| - |A ∩ B|

= 4^10 + 4^10 - 4^8

= 2 * 4^10 - 4^8

= 262080

Therefore, over the letters a, b, c, and d, there are 262080 strings of length 12 that either begin with "aa" or finish with "aa," or both.

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The statement would no longer be true if you did not flip the signs.

Example: 1 < x < 2 multiplied by (-1) equals -2 < x < -1, because you can't have a number that is greater than -1, and less than -2 at the same time.

Answer:

6+4= 10

Step-by-step explanation:

Write the equation.

Now substitute the values for the letters in the equation. ( the negative 1 is multiplied by 2 and it becomes negative 2 )

Now we open the brackets by multiplying the -2 with -3 giving us Positive 6 or just 6. then multiply -2 with -2 which then becomes positive 4 or just 4....

the negatives become positive because of the + plus + = -, and - plus -= +

and then we do 6 plus 4, which equals 10

The dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

Let's denote the width of the rectangle as "w" centimeters. According to the problem, the length of the rectangle is 19 centimeters less than its width, so the length can be expressed as "w - 19" centimeters.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 20 square centimeter

Area = Length × Width

20 = (w - 19) × w

To solve this equation, we can expand it:

20 = \(w^2\) - 19w

Rearranging the equation to bring everything to one side:

\(w^2\) - 19w - 20 = 0

Now, we can factor the quadratic equation:

(w - 20)(w + 1) = 0

Setting each factor equal to zero and solving for "w":

w - 20 = 0 --> w = 20

w + 1 = 0 --> w = -1

Since a negative width doesn't make sense in this context, we discard w = -1.

Therefore, the width of the rectangle is 20 centimeters (w = 20).

To find the length, we substitute this value back into the expression for length:

Length = w - 19

Length = 20 - 19

Length = 1 centimeter

So, the dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

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Answer:

it's -x,2 ur answer about this question

The critical value zα/2 for a level of confidence of 92% can be found as follows: In general, the confidence interval for the population mean is given by:\($$\large\bar x \pm z_{\frac{\alpha }{2}}\frac{\sigma }{\sqrt{n}}$$\) Where, \(\(\bar x\)\) is the sample meanσ is the population standard deviation (if known) or the sample standard deviation is the sample size\(\(z_{\frac{\alpha }{2}}\)\)is the critical value that corresponds to the level of confidence α.

We need to find\(\(z_{\frac{\alpha }{2}}\)\) for a 92% confidence interval. The area in the tail of the normal distribution beyond zα/2\(zα/2\)  is equal to \((1 - α)/2\) . Thus, for a level of confidence of 92%, the area in the tail of the distribution beyond\(zα/2\)is\((1 - 0.92)/2 = 0.04/2 = 0.02\) .

Therefore, the critical value\(zα/2\) that corresponds to a 92% confidence interval is\(z0.04/2 = z0.02 = 1.75\) . Hence, we have\(:$$\large z_{\frac{\alpha }{2}}= z_{0.02} = 1.75$$\) Thus, the critical value \(zα/2\)  that corresponds to a confidence level of 92% is 1.75.

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The solution to the equation is \(x = 54\). Therefore, the options given in the question are not correct.

To determine the solutions of the equation, we can solve it step by step. First, let's rewrite the equation without absolute value signs:
\(1/3 * (x + 9) - 3 = 21\)

Next, let's simplify the equation by distributing 1/3 to the terms inside the parentheses:
\((x + 9)/3 - 3 = 21\)

Now, let's multiply through by 3 to eliminate the fractions:
\(x + 9 - 9 = 63\)

Simplifying further, we have:
\(x = 54\)

So the solution to the equation is x = 54. Therefore, the options given in the question are not correct.

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The only correct answer is x = -99 and x = 99.

The given equation is:

|1/3x + 9 - 3| = 21

To solve this equation, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: 1/3x + 9 - 3 > 0
Simplify the expression inside the absolute value by solving the inequality:

1/3x + 6 > 0
Subtract 6 from both sides:
1/3x > -6
Multiply both sides by 3:
x > -18

Case 2: 1/3x + 9 - 3 < 0
Simplify the expression inside the absolute value by solving the inequality:

1/3x + 6 < 0
Subtract 6 from both sides:
1/3x < -6
Multiply both sides by 3:
x < -18

Combining both cases, we have:
x > -18 or x < -18

Therefore, the solutions to the equation are all real numbers x such that x is less than -18 or x is greater than -18.

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Answer:

\(Sin B=\frac{8}{17}\)

Step-by-step explanation:

The sin of an angle is equal to opposite/hypotenuse

Use Pythagorean’s Theorem to solve for the opposite side

\(15^2 + b^2 = 17^2\\225 + b^2 = 289\\b^2 = 64\\b = 8\)

\(SinB = \frac{Oposite}{Hypotenuse}\)

The opposite side is equal to 8

\(So~SinB = \frac{8}{17}\)

Answer:

2 dolars for 1 pound

or

1 dolar for 0.5 pounds

Step-by-step explanation:

hope this helps:P

Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"

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The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Answer:

54 mph

Step-by-step explanation:

216 miles PER HOUR divided by 4 HOURS equals to 54 miles in the past 4 miles

Answer:

=54miles per hour

Step-by-step explanation:

Distance taken by Max = 216miles

Time taken = 4 hour

His rate in miles per hour

= Distance taken

Time taken

= 216miles

4

= 54miles/ hour

Therefore the rate used by Max in miles per hour is 54miles per hour.

The explicit formula for an arithmetic sequence calculator is a_n = a_1 + (n-1)d.

The formula for an arithmetic sequence is:

a_n = a_1 + (n-1)d

where a_n is the value of the nth term in the sequence, a_1 is the value of the first term in the sequence, n is the position of the term you want to find, d is the common difference between consecutive terms in the sequence, To use this formula to find a specific term in the sequence, simply substitute the values of a_1, n, and d into the formula and evaluate.

For example, if you wanted to find the 10th term in an arithmetic sequence with a first term of 3 and a common difference of 4, you would use the formula

a_10 = 3 + (10-1)4

a_10 = 3 + 36

a_10 = 39

Therefore, the 10th term in this sequence is 39.

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According to the box and whisker plot, using the percentile concept, it is found that Paul's team traveled 350 or fewer miles for 75% of their games.

When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.

The box and whisker plot focuses on the interquartile range, hence, 200 miles is the 25th percentile, 300 miles is the mean, while 350 miles is the 75th percentile, which means that Paul's team traveled 350 or fewer miles for 75% of their games.

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Answer:

factoring

Step-by-step explanation:

Step-by-step explanation:

If I=Prt

I is interest earned

P is principal

R is the interest rate

T is time in years

Then substitute the values into the equation

Plug into your calculator

I= 100 x 6% x 3 = 18

Answer for the first one is $18

For the others, it requires you to rearrange the equation.

Good luck!

Answer:

3

Step-by-step explanation:

Brainliest pls.

Answer:

x= -1

Step-by-step explanation:

It took me a couple minutes to figure out this answer, but all I can say is when simplifying equations, organize the numbers.

Answer:

0.04

Step-by-step explanation:

Brand A:

so x is equal to 0.24

Brand B:

so x is equal to 0.28

Now the difference of cost would be Brand B - Brand A which would give you 0.04.

The sum of all the possible values of the hypotenuse is 128.4.

According to the statement

we have given that the Three relatively prime integers are the sides of a right triangle and the smallest leg has length 28.

And we have to Find the sum of all the possible values of the hypotenuse.

So, For this purpose, we know that the

Let us consider a three relatively prime integers which are 29,31,37.

we choose these numbers because we have given that the

the smallest leg has length 28.

And according to the Pythagoras theorem.

we know that the

(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2

And let the smallest length be a base.

So , Put the values of the perpendicular in this one by one then

so,

(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2

Here Put perpendicular = 29 and base = 28.

Then

(Hypotenuse)^2 = (29)^2 + (28)^2

(Hypotenuse)^2 = 1625

(Hypotenuse) = 40.31

And then

(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2

Here Put perpendicular = 31 and base = 28.

Then

(Hypotenuse)^2 = (31)^2 + (28)^2

(Hypotenuse)^2 = 1745

(Hypotenuse) = 41.77

And then

(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2

Here Put perpendicular = 37 and base = 28.

Then

(Hypotenuse)^2 = (37)^2 + (28)^2

(Hypotenuse)^2 = 2153

(Hypotenuse) = 46.40

And then

The all possible values of the hypotenuse are 40.31, 41.77, 46.40.

And the sum become is 128.4

So, The sum of all the possible values of the hypotenuse is 128.4.

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Answer:

IJ = 20

Step-by-step explanation:

Point I is on the lines segment HJ. So,

HJ = HI + IJ

Putting all the given values, we get :

4x=2x+4x-10

Taking like terms together, we get :

-2x=-10

x=5

Put the value of x in IJ = 4x-10

IJ = 4(5)-10

IJ = 20

Hence, the value of IJ is 20.

Answer:

10

Step-by-step explanation:

The expressions 2, 3, 4, and 5 are equivalent to 10.08.

We need to determine which of the given expressions are equivalent to 10.08.

As per the question, simplify each expression and see if it equals 10.08.

1). 13.117 + 1.3 = 14.417

Thus, this is not equivalent to 10.08

2). 2.88 x 3.5 = 10.08

Thus, this is equivalent to 10.08

3). 21.168 ÷ 2.1 = 10.08

Thus, this is equivalent to 10.08

4). 168 x 0.06 = 10.08

Thus, this is equivalent to 10.08

5). 201.6 x 0.05 = 10.08

Thus, this is equivalent to 10.08

Therefore, expressions 2, 3, 4, and 5 are equivalent to 10.08.

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Answer:

the value of x is 0 and y is -4.

hope it helps uh..