Does anyone know what the answer is?​

The range is from -3 to ∞

The measure of angle ADC in the geometric system is equal to 55°.

In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:

m ∠ CDE + m ∠ EDF = 180°

(2 · x + 1) + (x - 7) = 180°

3 · x - 6 = 180°

3 · x = 186°

x = 62

m ∠ CDE = 2 · x + 1

m ∠ CDE = 2 · 62 + 1

m ∠ CDE = 125°

m ∠ ADC = 180° - 125°

m ∠ ADC = 55°

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Answer:

Vertex:

(

3

2

,

−

41

4

)

(

3

2

,

-

41

4

)

Focus:

(

3

2

,

−

10

)

(

3

2

,

-

10

)

Axis of Symmetry:

x

=

3

2

x

=

3

2

Directrix:

y

=

−

21

2

y

=

-

21

2

x

y

0

−

8

1

−

10

3

2

−

41

4

3

−

8

4

−

4

Vertex:

(

3

2

,

−

41

4

)

(

3

2

,

-

41

4

)

Focus:

(

3

2

,

−

10

)

(

3

2

,

-

10

)

Axis of Symmetry:

x

=

3

2

x

=

3

2

Directrix:

y

=

−

21

2

y

=

-

21

2

x

y

0

−

8

1

−

10

3

2

−

41

4

3

−

8

4

−

4

Step-by-step explanation:

Answer:

the answer is -3.

Step-by-step explanation:

Answer:

1. 50 x 2 = 100

2. 60 x 3 = 180

3. 75 x 8 + 3 = 603

603 + 180 + 100 = 883

Step-by-step explanation:

Just multiply and add.

Answer:

half flyfkycoyfkgflycj hrxhrhddzg

Answer:

20 percent

Step-by-step explanation:

you get 56 which is what he has earned over 280 which is his goal. You get 0.2 then you multiply by 100 to get your answer in percent form.

Answer:

20%

Step-by-step explanation:

Step one: divide how much you have by how much you need. The result is 0.2.

Here you have multiple way to remember how to do, pick the one you like most.

a. turn it in a fraction: 0.2 = 2/10 = 20/100, or 20%.

b. multiply by 100: 0.2x100 = 20, so 20%

Answer:

21k+9k+13, and simplified into 43k.

Step-by-step explanation:

The distributive property means that you can put addends or factors in any order to get the same result(9+1=10, 1+9=10)

21k+13k+9k can be re-written into 21k+9k+13, and simplified into 43k.

Answer:

43k

Step-by-step explanation:

The value of the given task 0.8 million - 1.76 thousand is 798,240.

0.8 million

= 0.8 × 1,000,000

= 800,000

1.76 thousand

= 1.76 × 1000

= 1,760

So,

0.8 million - 1.76 thousand

= 800,000 - 1,760

= 798,240

Therefore, 0.8 million - 1.76 thousand is 798,240

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Answer:

55.5 mph

Step-by-step explanation:

Time period of flight

Return trip flight speed

Wind velocity

Answer:

307 members

Step-by-step explanation:

Relative growth rate= Growth rate/population

Given: constant relative growth rate=0.7233

0.7233=\(\frac{dP/dt}{P}\)

\(\frac{dP}{dt} =0.7233 P\)

Theorem 2 states that solutions of the differential equation dy/dt = ky are in the form:    y(t)=y(0)\(e^k^t\)

Writing the soltuion of our dif. equation as:

P(t)=P(0)\(e^{0.7233t}\)

since on day zero the population consists of four members.

P(t)=4\(e^{0.7233t}\)

next is to find the population size after six days. i.e t=6

P(6)=4\(e^{0.7233\times 6}\) ≈ 307 members

Answer:

s = the number of student tickets sold a = the number of adult tickets sold The drama class sold 25 more student tickets than adult tickets to the fall play s = a + 25 The class collected $660 from ticket sales: 6s + 3a = 660 divide both sides by 3 2s + a = 220 by solving the system of equations s = a + 25 2s + a = 220 we find s = 81.67 student tickets a = 56.67 adult tickets

Step-by-step explanation:

hope this helps

Mr. Lloyd could use his credit card to buy the TV. Therefore, option  A is the correct answer.

Using a credit card to make a purchase requires that the buyer have a credit limit that is large enough to cover the amount of the purchase. Mr. Lloyd does not have enough money in his bank account to pay for the television, so he would not be able to use a credit card to make the purchase.

Options B, C, and D are all viable options for Mr. Lloyd. He could save up money and pay cash for the television at a later date, or he could use his debit card to make the purchase when he has enough money in his bank account. He could also save money and use his debit card at a later date when he has enough money in his bank account.

Therefore, option  A is the correct answer.

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Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd?

A) He can use his credit card to buy the television now.

B) He can save money and pay cash for the television at a later date.

C) He can use his debit card to buy the television now.

D) He can save money and use his debit card to buy the television at a later date.

All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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Answer:

a. YES

b. YES

c. NO

d. YES

Step-by-step explanation:

\(\frac{7^6}{7^3}\) simplifies to \(7^3\)

a:

Let's simplify this:

(\(7^9\))(\(\frac{1}{7^6}\))

Now:

\(\frac{7^9}{7^6}\)

Which equals:

\(7^3\)

So, YES

b:

Simplify this one:

\(\frac{1}{7^8} / \frac{1}{7^1^1}\)

Or:

\((\frac{1}{7^8})(7^1^1)\)

Which simplifies to:

\(7^3\)

So, YES

c:

Simplifies to:

\(\frac{7^8}{7^4}\)

Which equals:

\(7^4\)

So, NO

d:

This simplifies to:

\(\frac{1}{7^3} * 7^6\\\\ \frac{7^6}{7^3} \\\\7^3\)

So, YES

Answer:-5.675

Step-by-step explanation:

Answer:

The answer is -227/40 or -5 27/40

Step-by-step explanation:

Easiest way to explain this is to first get the common denominator of the denominators of 5 and 8

This will equal 40 and we have to multiply the numerators as well so this will look like....

-35/40 - 4 32/40

Now we need to convert the whole number in -4 32/40 into a fraction

4 multiplied by 40 is 160 so we will need to add 160 and 32 making the equation now say -35/40 -192/40 which will equal -227/40

So this will make the answer -227/40 in fraction form and in a compound fraction it will be -5 27/40

1) Gathering the data

Gil buys 4 books for $ 16 , So that's money that goes out Gil's wallet.

Gil sells 3 cd, $27 that's money that comes in

Well, we can consider that as points within graph money and products.

So (4, 16) and (3, 27)

Since we have the formula y=mx +b, where the m is the coefficient of each then we can write

2) Examining the options

We have:

a) 27x =3 slope is 0 horizontal line

-16y =4 slope is 0

b) -4y =16 slope is 0

-3x=27 no slope (Vertical line has no slope)

c) 16y = -4 horizontal line slope 0

27x = 3 no slope

d) 4y= 16 slope =0 (horizontal line)

3x = 27 vertical line (no slope)

Answer:

y = 2x + 16

Step-by-step explanation:

Remember: The slope of perpendicular lines are negative reciprocals of each other.

1. Find the slope using the given equation.

   y= -1/2x +  8      Using the slope- intercept form  y = mx + b, the slope is -1/2 because it is the coefficient of the x-term .

  The new line is perpendicular to the given line and their slopes are negative reciprocals of each other.  You will use a slope = 2

2. Substitute into the slope intercept form y = mx +b , the value of the slope, "m" and the given point (-6, 4)  and solve for "b"

y = mx + b

4 = 2(-6) + b

4 = -12 + b

16 = b

3.  General form of slope intercept form: y = 2x +16

Answer: -1

in a function:

f(x) = mx + b

or

y = mx+ b

y=f(x) so,

y = -(1) x - 3

m=slope --------

x=x-coordinate

b=y-intercept

The derivative is f'(x) = (4x - 1) / (2x² - x).

To find the derivative of the function f(x) = ln(2x² - x), we can use the chain rule.

Begin by identifying the function to be differentiated, which is f(x) = ln(2x² - x).

Apply the chain rule, which states that if we have a composition of functions, f(g(x)), the derivative is given by (f'(g(x))) g'(x).

Let's consider the inner function g(x) = 2x² - x.

To differentiate g(x), we need to apply the power rule and the constant rule. The derivative of 2x² is 4x, and the derivative of -x is -1.

Now, we differentiate the outer function f'(g(x)). The derivative of ln(x) is 1/x.

Finally, we multiply the derivatives obtained in steps 3 and 4. Thus, the derivative of f(x) = ln(2x² - x) is:

f'(x) = (1 / (2x² - x)) * (4x - 1)

Simplifying further, we have:

f'(x) = (4x - 1) / (2x² - x)

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Answer:

Step-by-step explanation:

From the information given:

Neighbourhood A = 30  homes and the number increases by 20% each year

Neighbourhood B = 45  homes, and each year 3 new homes are built.

A.

The function representing the numbers of homes in  Neighbourhood A and B are as follows:

For neighbourhood A: f(x) = \(\mathbf{30 \times (1.2)^x}\)

For neighbourhood B: f(x) =  45 + 3x

B.

After five years;

Neighbourhood A has = \(\mathbf{30 \times (1.2)^x}\)

Neighbourhood A  = \(\mathbf{30 \times (1.2)^5}\)

Neighbourhood A  =  74.65 homes

Neighbourhood B: =   45 + 3(5)

Neighbourhood B: =   45 + 15

Neighbourhood B: =   60 homes

C.

To determine how many years the number of homes are the same for neighbourhood A and B, we need to equate both together.

i.e.

\(\mathbf{30 \times (1.2)^x= 45 + 3x}\)

\(\mathbf{ (1.2)^x= \dfrac{45 + 3x}{30}}\)

\(\mathbf{ (0.4)^x= \dfrac{15 + x}{10}}\)

x = 3.3

Thus, after 3.3 years, the number of homes will be the same.

The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.

Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.

f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)

= 1 - 5√(9 - x) / √(9 - x)

= 1 - 5 / √(9 - x).

To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.

Setting f'(x) = 0:

1 - 5 / √(9 - x) = 0

5 / √(9 - x) = 1

(√(9 - x))^2 = 5^2

9 - x = 25

x = 9 - 25

x = -16.

The critical point is x = -16.

We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.

Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).

For x < -16:

Plugging in a test value, let's say x = -17, into the derivative:

f'(-17) = 1 - 5 / √(9 - (-17))

= 1 - 5 / √(9 + 17)

= 1 - 5 / √26

≈ 1 - 0.97

≈ 0.03.

Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).

For -16 < x < 9:

Plugging in a test value, let's say x = 0, into the derivative:

f'(0) = 1 - 5 / √(9 - 0)

= 1 - 5 / √9

= 1 - 5 / 3

≈ 1 - 1.67

≈ -0.67.

Since f'(0) is negative, the function is decreasing in the interval (-16, 9).

For x > 9:

Plugging in a test value, let's say x = 10, into the derivative:

f'(10) = 1 - 5 / √(9 - 10)

= 1 - 5 / √(-1)

= 1 - 5i,

where i is the imaginary unit.

Since the derivative is not a real number for x > 9, we cannot determine the sign.

Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

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Answer:

Step-by-step explanation:

1. To figure this out, you need to first convert the percentage to a decimal. To do this, you move the decimal two places back. 75.0% -> 0.75

40 * 0.75 = 30 students are present, because 75% of 40 is 30

40 - 30 = 10 students are absent, because 30 students are present.

2. To figure this out, you must do the same thing you did for number 1 above. It would look like this: 80% -> .80

250 * 0.8 = 200 euros - not sure if that's what it is but that is what I'm going with - is what she spent, because 80% of 250 is 200

250 - 200 = 50 is what she saved.

Answer:

£2200

Step-by-step explanation:

1 computer = £120 + £100

1 computer = £220

10 computers = £220 x 10

10 computers = £2200

The two integers are equal to 1 and 7 respectively.

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.

Let x represent the smaller number. Then the given relationships say ...

1/x + 2/(x+6) = 9/7

Multiplying by 7x(x+6), we have ...

7(x+6) +14x = 9x(x+6)

9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides

9x² +33x = 42 . . . . . . . . ...subtract 21x

3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3

(3x +14)(x -1) = 0 . . . . . . . . factor

Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.

Therefore, the two integers are equal to 1 and 7 respectively.

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The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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Answer:

31

Step-by-step explanation:

you just add for to 27

To completely solve the problem, Karim should convert the product back into standard decimal notation.

We cannot directly apply the product of powers property because the binomial is not raised to a power itself.

(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).

0.0258 × \(10^{-8\)  = 0.0258 × 0.00000001

                         = 0.000000000000258

(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.

In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.

To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.

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-19.99; The line of best fit underpredicts the student's science test score.

So correct option is A.

A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.

The predicted science score for the student with IQ 100 can be calculated using the line of best fit:

ŷ = −20.3 + 0.7489 * 100 = 71.59

The residual is the difference between the actual science test score and the predicted science score:

residual = actual score - predicted score = 52.6 - 71.59 = -19.99

So the line of best fit underpredicts the student's science test score by 19.99 points.

Therefore, the residual is:

-19.99; The line of best fit underpredicts the student's science test score.

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