The graph of a function is given.
Is the function linear or nonlinear?
Select from the drop-down menus to correctly
complete the statement.
The function is Choose.
because it
Choose… have a constant rate of change.

Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

Answer:

Sister's age: 4

Brother's age: 12

Answer:

-56

Step-by-step explanation:

170.18-26-23+83+-1

Answer:

123 degrees

Step-by-step explanation:

Answer:

123°

Step-by-step explanation:

360 - 114 - 43 - 80 = 123

Answer:

14,200,000

Step-by-step explanation:

Answer:

There are 1,365 souvenir paperweights that need to be packed in boxes. Each box will hold 14 paperweights. How many boxes will be needed?

boxes will be needed to hold all the souvenir paperweights.

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.

\(A'(-5,9)\\\\B'(\frac{1}{2},9)\\\\C'(-1,6)\\\\D'(-3.5,6)\)

4. Reflection over the y-axis

5.

\((x+5,y+10)\\\\A'(1+5,7+10)= > (6,17)\\\\B'(6.5+5,7+10)= > (11.5,17)\\\\C'(5+5,4+10)= > (10,14)\\\\D'(2.5+5,4+10)= > (7.5,14)\)

Hope this helps!

Answer:

100%

Step-by-step explanation:

This question doesn't really make sense but technically it's 100%

The minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

We are given that a water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. We need to find this minimum length of pipe.

The given figure is shown below: \(AB = 10 \ miles\)\(BC = 6 \ miles\)\(CP = 12 \ miles\). We are given that \(LAPD = LCPB\).

Now, we need to find the minimum length of pipe required for delivering the water to points A and B.The total length of the pipe, \(L_{total} = LA + AB + BP\)Since \(LAPD = LCPB\), we can say that\(AP^2 + PD^2 = BP^2 + PC^2\).

From the triangle ACP, we can say that\(AC^2 = AP^2 + PC^2\). So, we can substitute AP^2 + PC^2 with AC^2 to get\(AP^2 + PD^2 = BP^2 + AC^2\)Now, we can substitute AP = AC - PC and BP = BC + PC in the above equation to get\((AC - PC)^2 + PD^2 = (BC + PC)^2 + AC^2\).

After solving this equation, we get\(AC = \frac {37}{8}\) and \(PC = \frac {27}{8}\)Now, we can calculate the length of pipe required as follows: \(L_{total} = LA + AB + BP = 10 + 6 + \frac {27}{8} = \boxed{20.375 \ miles}\). Therefore, the minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

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Answer:

I think it’s -4

Step-by-step explanation:

-2 plus -2 is -4

since 2 plus 2 is 4

Hope this helps ;)

Answer:

Step-by-step explanation:

It is because 2 plus 2 is 4

so -2 plus -2 is -4

hth!

The cost price of the shorts is K22.50.

To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.

Let's assume the cost price of the shorts is represented by C.

The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.

117% of the cost price C can be calculated as (117/100) * C.

GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.

Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.

Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:

Selling price before GST = Selling price - (Selling price × R)

In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:

K29.25 = Selling price - (Selling price × 0.17)

Simplifying the equation

K29.25 = Selling price × (1 - 0.17)

K29.25 = Selling price × 0.83

Selling price = K29.25 / 0.83

Now we can substitute the selling price in terms of the cost price:

K29.25 / 0.83 = (117/100) × C

Simplifying the equation:

C = (K29.25 / 0.83) × (100/117)

Calculating the cost price C:

C = K22.50

Therefore, the cost price of the shorts is K22.50.

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The equations that represent the largest number of x desks, y coffee tables, and z corner tables that can be made are

50x + 30y + 5z = 690

40x + 15y + 5z = 620

45x + 10y + 5z = 510

From the question, we are to determine the three equations that are needed to find the largest number of x desks, y coffee tables, and z corner tables that can be made

From the given information,

Desks use 50 units of wood, 40 units of fabrics, and 45 units of stuffing

Coffee tables use 30 units of wood, 15 units of fabrics, and 10 units of stuffing

Corner tables use 5 units of wood, 5 units of fabrics, and 5 units of stuffing

Also,

There are 690 units of wood, 620 units of fabric and 510 units of stuffing available to make the items

Thus,

The equations that represent the largest number of x desks, y coffee tables, and z corner tables that can be made are

50x + 30y + 5z = 690

40x + 15y + 5z = 620

45x + 10y + 5z = 510

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Answer:

Every gene has many types of gene variants, which are called alleles. These alleles help the body prouperly code different types of variants. Humans have many different traits in their body, and that is how we have so many features. Genes are stored in chromosomes.

Answer:

Human variability, or human variation, is the range of possible values for any characteristic, physical or mental, of human beings. As the human species exhibits sexual dimorphism, many traits show significant variation not just between populations but also between the sexes.

Step-by-step explanation:

Answer:

(x+y+5)(x-y+1)

Step-by-step explanation:

factor by grouping

x^2+6x+5-4y-y^2

x^2+6x+9 - (y^2+4t+4) + 5-9+4

(x+3)^2 - (y+2)^2

(x+3+(y+2))(x+3-(y+2))

(x+y+5)(x-y+1)

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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Answer:

25/6

Step-by-step explanation:

Take the number on the left multiply by the denominator and add the numerator which is 4×6+1 =25

Reuse the same denominator which is 6 so 25/6

Work backwards: 25/6 to 4 1/6 (25 divide by 6 is 4 remainder 1 so 4 on the left and 1 as the numerator)

Answer:

25/6

Step-by-step explanation:

put the denominator as it is

Answer:

  c

Step-by-step explanation:

A piecewise-defined function is properly graphed when the pieces of the definition match the pieces of the graph. To identify the function, match the pieces of the function with the pieces of the graph.

__

The domain is the horizontal extent of the graph. The discontinuity in the graph at x=2 tells you the domain of the function will be divided into 2 parts.

The solid dot on the part of the graph that extends to the left tells you that x=2 and points to its left are one part of the domain: x ≤ 2.

The open dot on the part of the graph that extends to the right tells you that x=2 is not part of the domain for that section. It will be x > 2.

Recognizing that these are the domain definitions already eliminates choices B and D.

The answer choices (or your examination of the graph) tell you that the two lines are described by ...

The y-intercept for the line to the left of x=2 is clearly at y=2, so we now know the match-up between domains and function definitions is ...

  \(y=\begin{cases}x+2&x\le2\\x+1&x > 2\end{cases}\)

This eliminates choice A.

The correct answer choice is C:

  \(\boxed{\textsf{c.}\quad y=\begin{cases}x+1&x > 2\\x+2&x\le2\end{cases}}\)

Answer:

$1225

$33,775

Step-by-step explanation:

Given:

To find a percentage of an amount, convert the percentage into a decimal and multiply it by the amount:

3.5% = 3.5/100 = 0.035

⇒ Decrease in price = 0.035 × 35000 = $1225

Price of next model = price of current model - decrease in price

                                 = 35000 - 1225

                                 = $33,775

Decrease amount:-

So

New price:-

Answer: ∠BDA

Step-by-step explanation:

Complementary: Either of two angles whose sum is 90°.

Starting Angle: ∠BDC

Possible Complement: ∠BDA

Answer: ∠ACD

Step-by-step explanation:

Complementary angles are angles which have a sum of 90 degrees when added together.

Angle ∠ADB is 90°

So ∠BDC and another angle should give you ∠ADB

The angle that when added to ∠BDC give you ∠ADB is ∠ACD

In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.

The question can be interpreted that the particular number has the same digit  which is seen in hundreds place  hence  hundredths place.

we can then represent the digit  as '1'.

The value of number's hundreds place can be represented as  100

we can as well represent the number's hundredths place as 0.01

the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000

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missing options:

A. 100,00

B. 100

C. 1,000

D. 10,000

Answer:

28.29 inch.

Step-by-step explanation:

So diameter is 9.

Circumference = pi x d

= 22/7 x 9

=28.29inch.

The domain of the function f(x) that has a range of [-2, ∞) is [-2, ∞)

The inverse of a function that maps x into y, maps y into x.

The given coordinates of the points on the radical function, f(x) are; (-3, -2), (1, 0), (6, 1)

To determine the domain of

\( {f}^{ - 1}( x)\)

The graph of the inverse of a function is given by the reflection of the graph of the function across the line y = x

The reflection of the point (x, y) across the line y = x, gives the point (y, x)

The points on the graph of the inverse of the function, f(x), \( {f}^{ - 1} (x)\) are therefore;

\(( - 3, \: - 2) \: \underrightarrow{R_{(y=x)}} \: ( - 2, \: - 3)\)

\(( 1, \: 0) \: \underrightarrow{R_{(y=x)}} \: ( 0, \: 1)\)

( 6, \: 1) \: \underrightarrow{R_{(y=x)}} \: ( 1, \: 6)

The coordinates of the points on the graph of the inverse of the function, f(x) are; (-2, -3), (1, 0), (1, 6)

Given that the coordinate of point (x, y) on the image of the inverse function is (y, x), and that the graph of the function, f(x) starts at the point (-3, -2) and is increasing to infinity, (∞, ∞), such that the range of y–values is [-2, ∞) the inverse function, \( {f}^{ - 1}( x)\), which starts at the point (-2, -3) continues to infinity, has a domain that is the same as the range of f(x), which gives;

The domain of the inverse of the function, \( {f}^{ - 1}( x)\), using interval notation is; [-2, ∞)

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Answer:

In this question, we shall be accepting the null hypothesis H0 since the critical value is greater than the test statistic value

Step-by-step explanation:

Here in this question, we want to make a conclusion about the null hypothesis H0.

To make or give the correct conclusion about the null hypothesis in this case, we shall need to compare the absolute value of the test statistic used against the value of the critical value.

Hence, we draw a conclusion if the test statistic is larger or smaller than the critical value.

From the value given in the question, we can see that the test statistic given as 1.68 is lesser in value compared to the critical value given as 1.96.

In this kind of case, the conclusion that we shall be drawing is that we will accept the null hypothesis H0 and reject the alternative hypothesis

The value of the probability is P(Large or Blue) = 7/10

The given parameters are represented on the table

Using the table parameters, we have

P(Large or Blue) = [(Large) + (Blue) - (Large and Blue)]/Total

This gives

P(Large or Blue) = ((17 + 8) + (17 +3) - 17)/(17 + 3 + 8 + 12)

This gives

P(Large or Blue) = 28/40

Simplify

P(Large or Blue) = 7/10

Hence, the value of the probability is P(Large or Blue) = 7/10

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Answer:

6x + 14

Step-by-step explanation:

Givens

P = s1 + s2 + s3

s1 = x

s2 = 4x + 12

s3 = x +2

Solution

P = x + 4x + 12 + x + 2

P = 6x + 14

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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Answer:

12.56

Step-by-step explanation:

:))))

C= 2 x π x radius

Answer:

The circumference of the circle is

\(12.56\)

Step-by-step explanation:

The formula to calculate the circumference of a circle is

\(2\pi \: r\)

By looking at the image we can see that the radios is 2 km, and we are going to use pi as 3.14. So..

\(formula \: = \: 2\pi \: r \\ 2(3.14)(2) = 6.28 \times 2 \\ = 12.56km\)

the unit rate is 1 inch to (5/3) feet.

The unit rate will be a constant K that relates the two given lengths.

First, we know that the length in the doll house is 6 inches, while the length of the dining table is 10ft.

Then k gives a relation between 1 inch and a number of ft.

Then we have the relation:

6in = 10ft

If we divide both sides by 6, we get:

1 inch = (10/6) ft

1 inch = (5/3) ft.

This means that the unit rate is 1 inch to (5/3) feet.

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To compare the magnitudes of 0.009 and 0.09, we can divide 0.09 by 0.009:

0.09 / 0.009 = 10

This means that 0.09 is 10 times greater than 0.009.

To compare the magnitudes of 0.009 and 0.1, we can divide 0.1 by 0.009:

0.1 / 0.009 = 11.111...

This means that 0.1 is approximately 11.111 times greater than 0.009.

To compare the magnitudes of 0.009 and 1, we can divide 1 by 0.009:

1 / 0.009 = 111.111...

This means that 1 is approximately 111.111 times greater than 0.009.

Therefore, 0.009 is much smaller than both 0.1 and 1.