Select all the correct answers.
Consider function g. (in photo)
Which statements are true about function g?

A) The function is decreasing over its entire domain.
B) The y-intercept is 2.
C) The function is continuous.
D) As x approaches positive infinity, approaches positive infinity.
E) The domain is all real numbers.

Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

Based on the annual gross income to John, the FICA amount that is deducted and the salary withheld for 23%, John's monthly take-home pay is $5,537.67

First, find the cost of the per-year health insurance plan that John pays:

= (1 - 60%) x 2,500

= 40% x 2,500

= $1,000

The annual take home pay is:
= 87,600 - 1,000 - (87,600 * 23%)

= 87,600 - 1,000 - 20,148

= $66,452

The monthly take-home pay is:

= 66,452 / 12

= $5,537.67

Find out more on monthly take-home income at https://brainly.com/question/957794

#SPJ1

The closest probability of getting less than 21% seniors in a random sample of size 100 is A. 0. 241.

The normal approximation to the binomial distribution can be used to find the probability.

First, find the mean :

= sample size x probability of success

= 100 x 0. 24

= 24

Then the standard deviation :

= √ ( 100 x 0. 24 x ( 1 - 0. 24 ))

= 4. 278

Using the standard normal distribution (Z) , we have:

Z = (X - μ) / σ

Z = ( 21 - 24 ) / 4.278

=  - 0. 702

From the Z - table, we have:

P ( Z < -0.702 ) = 0.2417

In conclusion, option A is correct.

Find out more on probability at https://brainly.com/question/17095075

#SPJ1

Given the equation :

It is a cubic function because the power of x = 3

The cubic function is not linear function

The linear function has the form : y = m * x + b

The power of x for the linear function = 1

so, the answer is : No

Answer: C.

Step-by-step explanation:

0.04 is the interest rate because it is equivalent of 4%.

Answer: 0.04

Step-by-step explanation:

The rule for coordinates for a reflection over the y -axis is:

( x, y ) → ( −x, y )

The coordinates plane for the triangle ABC after a reflection over the y-axis is

A(5, -2), B(4, -4), and C(6, -4).

Reflection is a transformation that flips a shape in a mirror line also called a line of reflection so that each point is the same distance from the mirror line as its reflected point.

The rule for coordinates for a reflection over the y -axis is:

( x, y ) → ( −x, y )

We have,

The following coordinates:

A = (-5, -2)

B = (-4, -4)

C = (-6, -4)

Since the rule for coordinates for a reflection over the y-axis is

(x, y) ⇒ (-x, y)

We have,

(-5, -2) = (5, -2)

(-4, -4) = (4, -4)

(-6, -4) = (6, -4)

Thus the coordinates plane for the triangle ABC after a reflection over the y-axis is A(5, -2), B(4, -4), and C(6, -4).

Learn more about reflection here:

https://brainly.com/question/15487308

#SPJ5

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{2\times4^0\times6^2}{2^4 \times 4^{-1} \times6^1}}\\\\\mathsf{= \dfrac{2\times\bf 1\times36}{2^4 \times 4^{-1} \times6^1}}\\\\\mathsf{= \dfrac{2\times \bf 36}{2^4 \times 4^{-1} \times6^1}}\\\\\mathsf{= \dfrac{\bf 72}{2^4 \times 4^{-1} \times6^1}}\\\\\mathsf{= \dfrac{72}{\bf 16\times \dfrac{1}{4}\times6}}\\\\\mathsf{= \dfrac{72}{\bf 16\times6}}\\\\\mathsf{= \dfrac{72}{\bf 24}}\\\\\mathsf{= \bf 3}\)

\(\huge\textbf{Therefore, your answer should be: }\)

\(\huge\boxed{\mathsf{3}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

\( \displaystyle {\rm{ \frac{2 \times {4}^{0} \times {6}^{2} }{ {2}^{4} \times {4}^{ - 1} \times 6 } }}\)

\(\displaystyle {\rm{ \frac{2 \times \bold{1} \times {6}^{2} }{ {2}^{4} \times {4}^{ - 1} \times {6}^{1} } }}\)

\(\displaystyle {\rm{ \frac{2 \times 1 \times \bold{36}}{ {2}^{4} \times {4}^{ - 1} \times 6 } }}\)

\(\displaystyle {\rm{ \frac{2 \times 1 \times 36}{ \bold{16} \times {4}^{ - 1} \times 6 } }}\)

\(\displaystyle {\rm{ \frac{2 \times 1 \times 36}{16 \times \bold{ \frac{1}{4}} \times 4} }}\)

\( \left[ \because \: {x}^{ - m} = \frac{1}{ {x}^{m} } \right]\)

\(\displaystyle {\rm{ \frac{2 \times 1 \times 36}{ \cancel{16^4} \times \frac{1}{ \cancel4} \times 6 } }}\)

\(\displaystyle {\rm{ \frac{72}{24} }}\)

\(\displaystyle {\rm{ \frac{2 \times 2 \times 2 \times 3 \times 3}{2 \times 2 \times 2 \times 3} }}\)

\(3\)

Step-by-step explanation:

\( \frak{ \pink{Seolle...a_{prodite}}}\)

Answer:

one gallon has the energy to move the car 25 miles

the saying "25 miles per gallon" means that the car can travel 25 miles on only one gallon of gas

Step-by-step explanation:

Answer:

(4, 4)

Step-by-step explanation:

On the Cartesian plane, values on the x-axis increase to the right, and values on the y-axis increase as you go vertically upwards.

x-coordinate = 2

y-coordinate = 3

•Moving 2 units to the right adds 2 to the x-coordinate.

∴ new x-coordinate = 2 + 2 = 4

• Moving 1 unit up adds 1 to the y-coordinate.

∴ new y-coordinate = 3 + 1 = 4

∴ You will end up on the point (4, 4).

If we solve for the value of x using the graph we get the coordinates of X as X( \(\frac{21}{4}\) , \(\frac{35}{4}\) ).

What is the linear equation with two variables ?

A linear equation with two variables is any equation that can be expressed in form ax + by + c = 0, where a, b, and c are all real values.

The given equation is a form of linear equation with two variables.

The equation is 16x + 28y = 112.

From graph it is clear that coordinates of Y are Y(1 , -1).

So , let's check for the value of x by putting the values of y in given expression.

i.e.,

The resulted equations will be :

16 x + 28 (1) = 112

or

16x + 28(-1) = 112

So ,

16 x + 28 = 112    --- -- -- ----- ----- ---- ---- ---- ---- ---- ---- ---- Equation 1

16x - 28 = 112     --- -- -- ----- ----- ---- ---- ---- ---- ---- ---- ---- Equation 2

The values of x will be :

x = 84 / 16 = 21 / 4

or

x = 140 / 16 = 35 / 4

The coordinates of X will be X(\(\frac{21}{4}\) , \(\frac{35}{4}\) ).

Therefore , solving for the value of x using the graph we get the coordinates of X as X( \(\frac{21}{4}\) , \(\frac{35}{4}\) ).

Learn more about linear equation with two variables here :

https://brainly.com/question/24085666

#SPJ1

The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

Learn more about implicit differentiation here brainly.com/question/31568657
#SPJ11

main answer: the minimum sales price zion sun chairs for each char must be $41.64 to earn a monthly profit of $55,000

supporting answer:

what is profit?

 the amount gained from any business activity When a shopkeeper sells a product, his motivation is to profit from the buyer.

body of the answer:

the total monthly fixed costs are $7363.50 and the variable cost per chair $52.17

the cost price isC(x)=17363.50+52.17*3575

profit function is P(x)=C(x)-s

P(x)=203871.25-3575x

55000=203871.25-3575x

3575x=148871.25

x=41.64

the minimum sales price zion sun chairs for each must be $41.64 to a monthly proft of $55000

final answer: the minimum sales price zion sun chairs for each char must be $41.64 to earn a monthly profit of $55,000

to learn more above profit  from the given link

https://brainly.com/question/1078746#:~:text=Expert%2DVerified%20Answer&text=Profit%20can%20be%20best%20defined,is%20the%20money%20left%20over.

#SPJ4

The minimum sales price zion sun chairs for each char must be $41.64 to earn a monthly profit of $55,000

What is profit?

The amount gained from any business activity When a shopkeeper sells a product, his motivation is to profit from the buyer.

The total monthly fixed costs are $7363.50 and the variable cost per chair is $52.17

The cost price is C(x)=17363.50+52.17*3575

Profit function is P(x)=C(x)-s

P(x) = 203871.25-3575x

55000 = 203871.25-3575x

3575x = 148871.25

x = 41.64

The minimum sales price of zion sun chairs for each must be $41.64 to a monthly profit of $55000

The minimum sales price of zion sun chairs for each char must be $41.64 to earn a monthly profit of $55,000

To learn more above profit  from the given link:

https://brainly.com/question/29799088

#SPJ4

it is important to keep in mind that the results of a polygraph test should not be taken as absolute proof of deception or truthfulness, and that other factors should also be considered in evaluating a job applicant

While lie-detector tests (also known as polygraph tests) are sometimes used as part of a job application process, their reliability and accuracy are controversial and have been questioned by many experts in the field. The test measures physiological responses such as heart rate, blood pressure, and sweat gland activity in response to questions, and the results are interpreted by a trained examiner to determine whether the person is being truthful or deceptive.

However, there are several factors that can affect the results of a polygraph test, including the person's physiological state (such as anxiety or stress), the wording and interpretation of the questions, and the skills and biases of the examiner. False positives (indicating deception when the person is actually telling the truth) and false negatives (indicating truthfulness when the person is actually lying) are also possible.

In your case, it is possible that the lie-detector test gave a false positive result, indicating deception when you were actually telling the truth. There could be various reasons for this, such as anxiety or stress during the test, a misunderstanding or misinterpretation of the questions, or an error in the administration or interpretation of the test.

To learn more about physiological visit:

brainly.com/question/31483930

#SPJ11

If she charges p dollars for each photo, she can sell 330–6p photos each month, Then we can factor the quadratic inside the parentheses: – 6(p–15)(p–45) = 0.

In the factored form of Kristen's monthly profit expression, – 6(p–15)(p–45), the numbers 15 and 45 represent the values of p (the price per photo) at which Kristen's profit will be equal to zero.

This is because when Kristen's profit is equal to zero, she is neither making a profit nor losing money, and the number of photos she sells is maximizing her revenue. So, at the values of p where the profit is zero, Kristen is making the most profit she can given her costs and sales data.

To find these values, we set the profit expression equal to zero and solve for p:

– 6p2+360p–4,050 = 0

We can factor out a – 6 from this expression:

– 6(p2–60p+675) = 0

Then we can factor the quadratic inside the parentheses:

– 6(p–15)(p–45) = 0

Thus, this means that Kristen's profit will be zero when p equals either 15 or 45. At these prices, Kristen is maximizing her revenue and making the most profit she can given her costs and sales data.

For more details regarding factors, visit:

https://brainly.com/question/28983916

#SPJ1

The age of the grandfather in years according to the task content is; 84.

It follows that the age of the grandfather and granddaughter are; x and y respectively.

Hence, the two equations which follow are;

x = 12y

x + y= 91

Hence, the age of the grandfather, x can be evaluated as follows;

x = 12(91-x)

13x = 1092

x = 1092/13

x = 84 years.

Read more on word problems;

https://brainly.com/question/21405634

#SPJ1

Step-by-step explanation:

4x

2

y,−3xy

2

,−5xy

2

,5x

2

y=4x

2

y+(−3xy

2

)+(−5xy

2

)+5x

2

y

=4x

2

y+5x

2

y−3xy

2

−5xy

2

=9x

2

y−8xy

2

Answer: 1. A 2. C 3. B

Step-by-step explanation:

Answer:

1 - A, 2 - C, 3 - B

Step-by-step explanation:

The dude above me is right

thanks pal

Answer:

Step one

Step-by-step explanation:

It's the wrong step in this long division process

Answer:

send the complete question . there are some missing signs .

An interaction occurs when (D) the values of one independent variable influence how another independent variable influences a result.

A type of activity known as interaction takes place when two or more items have an impact on one another.

In contrast to a one-way causal effect, the idea of a two-way effect is crucial to the concept of interaction.

Interactivity and interconnection are closely related concepts; the latter deals with the interactions of interactions inside systems; combinations of numerous straightforward interactions might result in unexpected emergent phenomena.

In many sciences, interaction has numerous specialized meanings.

When the values of one independent variable affect how a result is affected by another independent variable, this is known as an interaction.

Therefore, an interaction occurs when (D) the values of one independent variable influence how another independent variable influences a result.

Know more about Interaction here:

https://brainly.com/question/17328181

#SPJ4

Complete question:

An interaction occurs when:

a. a single independent variable changes the dependent variable, disregarding all other variables in the study

b. two independent variables both influence the dependent variable

c.the dependent variable does not depend on any of your independent variables

d. the effects of one of your independent variables depend on the level of the other independent variable

The sum of angle in a triangle is 180°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

The sum of angle A, B and C is 180 i.e A+B +C = 180°

Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180

How do we prove that the sum of angle in a triangle is 180°?

Since triangle is 3 sided, n= 3, because n denote the number if sides

therefore the sum of angle = (n-2) 180 = (3-2)×180

= 180°

therefore the sum of angle In a triangle is 180°

learn more about sum of angle In a triangle from

https://brainly.com/question/25215131

#SPJ1

Answer:

y=-3

Step-by-step explanation:

Multiply the original dimensions by the scale:

8 x 3.5 = 28

6 x 3.5 = 21

New dimensions:  length = 28, width = 21

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

Learn more about expressions here: https://brainly.com/question/28959918

#SPJ1

Answer:

see explanation

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

We require to find a₁ and d

given a₃ = 2 and a₅ = 32 , then

a₁ + 4d = 32 → (1)

a₁ + 2d = 2 → (2)

subtract (2) from (1) term by term to eliminate a₁

0 + 2d = 30

2d = 30 ( divide both sides by 2 )

d = 15

substitute d = 15 into (2) and solve for a₁

a₁ + 2(15) = 2

a₁ + 30 = 2 ( subtract 30 from both sides )

a₁ = - 28

Then

\(a_{n}\) = - 28 + 15(n - 1) = - 28 + 15n - 15 = 15n - 43

Explicit formula is \(a_{n}\) = 15n - 43

------------------------------------------------

A recursive formula allows a term in the sequence to be found by adding d to the previous term, that is

\(a_{n}\) = \(a_{n-1}\) + 15 ; a₁ = - 28

The total number of integral solutions of x + y + z = 12, where −3 ≤ x ≤ 4, 2 ≤ y ≤ 11, and z ≥ 3 is; 59 integer solutions

We are given the condition that;

−3 ≤ x ≤ 4

Thus, we will use x values of -3, -2, -1, 0, 1, 2, 3, 4

When;

x = -3 and y = 2, in x + y + z = 12, solving for z gives z = 13

x = -3 and y = 3,  in x + y + z = 12, solving for z gives z = 12

x = -3 and y = 4,  in x + y + z = 12, solving for z gives z =11

x = -3 and y = 5,  in x + y + z = 12, solving for z gives z = 10

x = -3 and y = 6,  in x + y + z = 12, solving for z gives z = 9

x = -3 and y = 7,  in x + y + z = 12, solving for z gives z = 8

x = -3 and y = 8,  in x + y + z = 12, solving for z gives z = 7

x = -3 and y = 9,  in x + y + z = 12, solving for z gives z = 6

x = -3 and y = 10,  in x + y + z = 12, solving for z gives z = 5

x = -3 and y = 11,  in x + y + z = 12, solving for z gives z = 4

Thus, there are 10 solutions with x =-3

Repeating the above with x = -2, we will have 10 solutions

Similarly, with x = -1, we will have 9 more solutions

Similarly, with x = 0, we will have 8 more solutions.

Similarly, with x = 1, we will have 7 more solutions.

Similarly with x = 2, we will have 6 more solutions.

Similarly with x = 3, we will have 5 more solutions.

Similarly with x = 4, we will have 4 more solutions.

Thus,

Total number of solutions = 4 + 5 + 6 + 7 + 8 + 9 + 10 + 10

= 59 integer solutions

Read more about Number of Integral Solutions at; https://brainly.com/question/251701

#SPJ1

Answer:

11.7 feet long

Step-by-step explanation:

Formula: a^2+b^2=c^2

a^2+21^2=24^2

a^2+441=576

576-144=135

Square root of 135 is 11.61895004

Round to the nearest tenth is 11.7

Never. Correlation does not imply causation. A correlation coefficient based on an observational study can only be used to suggest a relationship between two variables, but it cannot be used to support a claim of cause and effect.

Correlation is a measure of the relationship between two variables. It is used to measure how two variables move together. A correlation coefficient based on an observational study can only be used to suggest a relationship between two variables, but it cannot be used to support a claim of cause and effect. This is because correlation does not imply causation. A correlation coefficient close to -1 or +1 is an indication of a strong linear relationship between the two variables, but this does not necessarily imply a cause-and-effect relationship. Additionally, even if the scatterplot of the data has little vertical variation, this does not guarantee a cause-and-effect relationship. In summary, correlation coefficients based on observational studies can never be used to support a claim of cause and effect.

Learn more about correlation here

https://brainly.com/question/28898177

#SPJ4