Question 1 of 5
Select the correct answer.
Which function has a domain of (-♾, ♾)and a range of (-♾, 4)?

PLEASE HELP

A: f(x) = -x^2 + 4

B: f(x) = 2^x +4

C: f(x) = -4x

D: f(x) = x + 4

Answers

Answer 1

Answer: A

Step-by-step explanation:

A) Correct. [tex]x^2 \geq 0 \implies -x^2 \leq 0[/tex]

B) Wrong. [tex]2^x > 0[/tex], so the range is [tex](4, \infty)[/tex]

C) Wrong. Linear functions have a range of all real numbers.

D) Wrong. Same logic as C.


Related Questions

Solve the equation and provide all steps ¾ x+2¼ =9

Answers

Answer:

x=9

Step-by-step explanation:

3/4x+2 1/4=9

3/4x=9-2 1/4

3/4x=6 3/4

4(3/4x)=4(6 3/4)

3x=27

x=9

Answer:

x = 9

Step-by-step explanation:

3/4 x + 2 1/4 = 9      subtract 2 1/4 from both sides of the equation

3/4  x = 6 3/4           now divide both sides by 3/4

x = 9

PLEASE HELP ME I WILL MARK CORRECT ANSWER BRAINLIEST

Answers

Answer:

36 units

Step-by-step explanation:

to do this you must first find the lengths of all the sides with pythagorean theorem

for a to b you use

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

c = 5

5 is one of the lengths

b to c uses the same equation

so

5 is another one of the lengths

for d to c your equation is

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2

13 is another of the lengths

d to a has the same length as c to d so there is another 13 unit length

so

5 + 5 + 13 + 13 is your equation to find the perimeter

5 + 5 + 13 + 13 = 36

that is your answer

What polynomial function could be represented by the graph below

(A). F(X)=x^2+x-2
(B). F(X)=2x^2+2x-4
(C). F(X)=x^2-x-2
(D). F(X)=2x^2-2x-4

Answers

Answer:

(B). F(X)=2x^2+2x-4

Step-by-step explanation:

-4 means it passes through -4 at the y axis

B and D have -4

graph passes thru x axis at -2 and 1

if you enter x = -2 or 1 in the formula

(B). F(X)=2x^2+2x-4

you get 0

it's not D because when you enter -2 or 1 for x

you don't get 0

you get 8 and -4

Answer: (B). F(x) = 2x² + 2x - 4

Step-by-step explanation:

      Let us think about the parent function F(x) = x² to pick our answer.

      Options A and C have only shifted 2 units down (showed by the "-2" at the end) and the function graphed is shifted four units down.

      Between options B and D, one is shifted 2 units to the right, and one is shifted 2 units to the left. We need the one shifted 2 units to the left. This is shown by the "+2x" in option B meaning it is our answer.

Can you help me please

Answers

Answer: Option D

[tex]\displaystyle d=\frac{C}{\pi}[/tex]

Step-by-step explanation:

    To solve the formula for d, we will isolate the d variable.

  Given:

C = πd

  Divide both sides of the equation by π:

[tex]\displaystyle\frac{C}{\pi}=\frac{\pi d}{\pi}[/tex],     [tex]\displaystyle\frac{C}{\pi}=d[/tex]

  Reflexive property

[tex]\displaystyle d=\frac{C}{\pi}[/tex]

D=c/pie because to get d by it’s self you need to divide pie on both sides

For how many values of x does the graph f(x)= x^2 -3 intersects the x-axis?

Answers

Answer:

cocomelon . 3/5 - 4

Step-by-step explanation:

Answer:

x=[tex]\sqrt3[/tex] and -[tex]\sqrt3\\[/tex]

Step-by-step explanation:

the roots(zeros) are the value of x where the graph intersects the x-axis.

to find the roots:

x^2-3=0

x^2=3

x=+-[tex]\sqrt3[/tex]

CAN SOMEONE HELP PLEASE
a = 3, b = 5, and c = 7. What is m&B° to the nearest tenth?

Answers

Answer: 38.2 degrees

Step-by-step explanation:

[tex]b^2 = a^2 + c^2 - 2ac \cos B\\\\5^2 = 3^2 + 7^2 - 2(3)(7) \cos B\\\\25 = 58-42 \cos B\\\\-42 \cos B=-33\\\\\cos B=\frac{33}{42}\\\\B \approx 38.2^{\circ}[/tex]

For the following exercises, find the x- and y-intercepts of the graphs of each function.
26. f(x) = 4| x − 3 | + 4

Answers

For the function f(x) = 4|x - 3| + 4, we have that:

The function has no x-intercepts.The y-intercept is of y = 16.

What is the x-intercept of a function?

The x-intercept of a function is the value of x when y = f(x) = 0, hence:

0 = 4|x - 3| + 4

4|x - 4| = -4

|x - 4| = -1

The absolute value cannot be negative, hence the function has no x-intercepts.

What is the y-intercept of a function?

The x-intercept of a function is the value of y = f(x) when x = 0, hence:

f(0) = 4|0 - 3| + 4 = 12 + 4 = 16.

The y-intercept is of y = 16.

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The main floor of Kinsey's home is 1,425 square feet. The upper level is 875 square feet with one unfinished bedroom that measures 150 square feet. The finished basement is 1,425 square feet with 7.5-foot ceilings. Kinsey's MLS listing includes below-grade square footage in livable area. What's the reportable square footage for Kinsey's home

Answers

The reportable square footage for Kinsey's home = 2150square feet.

The main floor of Kinsey's home is 1,425 square feet.

The upper level is 875 square feet with one unfinished bedroom that measures 150 square feet.

The finished basement is 1,425 square feet with 7.5-foot ceilings.

That means the square footage of the upper floor plus the main floor (minus the unfinished laundry area).

Kinsey should report square feet (1425+875- 150)

= 2150square feet.

Hence, The reportable square footage for Kinsey's home = 2150square feet.

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The supplement of a 162 degree angle is an angle that measures

Answers

Answer:

18 degrees

Step-by-step explanation:

Supplementary angles are angles that when added together equal 180 degrees.

A + 162 = 180

     - 162  -162

        A  = 18

Answer:

18

Step-by-step explanation:

When your are asked the supplement you minus 162 from 180. When you join SU from supplement and add a 1 behind SU you'll get 180. [1SU TO 180]

180-162

18

. A housing down payment is money that a
prospective buyer provides up front when
purchasing a home and is usually a per-
cent of the purchase price of the home. A
lender typically requires private mortgage
insurance (PMI) when the buyer's down
payment is less than 20% of the purchase
price. To secure a mortgage, buyers also
need to have additional cash on hand
for closing costs and prepaid property
tax. Suppose a buyer wants to purchase
a $375,000 house and must have $7,200
on hand for closing costs and property
tax. Which of the following inequalities
represents the total funds (f) the buyer
must have on hand to secure the mortgage
without having to pay PMI?
A) f≤0.2(375,000) + 7,200
B) f≥0.2(375,000) +7,200
C) f≤0.2(375,000 +7,200)
D) f≥0.2(375,000 +7,200)

Answers

Answer:

B) f≥0.2(375,000) +7,200

Step-by-step explanation:

≥ means 'at least'

Find the equation of the line that passes through (0, -3) and is parallel to
the line joining the points (9, 2) and (3, -5).

Answers

Answer:

y = [tex]\frac{7}{6}[/tex] x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 2 ) and (x₂, y₂ ) = (3, - 5 )

m = [tex]\frac{-5-2}{3-9}[/tex] = [tex]\frac{-7}{-6}[/tex] = [tex]\frac{7}{6}[/tex]

• Parallel lines have equal slopes , so

m = [tex]\frac{7}{6}[/tex] is the slope of the parallel line

the line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = [tex]\frac{7}{6}[/tex] x - 3 ← equation of parallel line

Hey there!

[tex] \\ [/tex]

Answer:

[tex] \green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}[/tex]

[tex] \\ [/tex]

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be [tex] \: \sf{d_1} \: [/tex] and the line that is parallel to [tex] \: \sf{d_1} \: [/tex] be [tex] \: \sf{d_2} \: [/tex] .

[tex] \sf{d_2} \:[/tex] passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

[tex] \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}} [/tex]

[tex] \\ [/tex]

Subtitute the values :

[tex] \sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )} [/tex]

[tex] \implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}[/tex]

[tex] \sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}} [/tex].

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

[tex] \sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.} [/tex]

[tex] \implies \sf{y = \bold{\dfrac{7}{6}}x + b} [/tex] [tex] \\ [/tex]

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line [tex] \: \sf{d_1} \: [/tex]. Now, replace y with -3 and x with 0:

[tex] \implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Therefore, the equation of the line [tex] \: \bold{d_1} \: [/tex] is [tex] \green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}} [/tex]

[tex] \\ [/tex]

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What type of triangle is shown below?
31°
28.5
19.2
109°
40%
991

Answers

Answer:

could u send a photo please

Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300 and $350.
[? ]%

Answers

Answer:

0.1359

Step-by-step explanation:

what is the equation of the given line in the point -slope form

Answers

Answer:

E

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = [tex]\frac{4-1}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1

using (a, b ) = (3, 4 ) , then

y - 4 = 1 (x - 3) → E

In order to compute the area of a particular circle, Juan first measures the length of its diameter. The actual diameter is 20 cm, but Juan's measurement has an error of up to $20\%$. What is the largest possible percent error, in percent, in Juan's computed area of the circle

Answers

The largest possible error in the area of the circle is of 44%.

What is the area of a circle?

The area of a circle of radius r is given by:

[tex]A = \pi r^2[/tex]

With a diameter of 20 cm = radius of 10 cm, the area in cm² is given by:

[tex]A = \pi \times 10^2 = 100\pi[/tex]

With the error, with a diameter of 20 x 1.2 = 24 cm = radius of 12 cm, the area in cm² is given by:

[tex]A = \pi \times 12^2 = 144\pi[/tex]

The error is given by:

[tex]E = 144\pi - 100\pi = 44\pi[/tex]

The percent error is the error divided by the initial amount, multiplied by 100%, hence:

[tex]P = \frac{44\pi}{100\pi} \times 100\% = 44\%[/tex]

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help me answer this table problem please

Answers

By using the concepts of relations and functions and based on the table given, the function presents the following relationship:

x → f(x)

7 → 95

How to evaluate a function according to a table

Functions are relations between an input set named domain (x) and an output set named range (f(x)), that is:

x → f(x)

After a quick observation, for x = 7, then f(7) = 95. In more graphically manner, the function present the respective relation:

7 → 95

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Evaluate the expression using x=-1 and y=3 (6^4y^3)

Answers

The value of the expression when evaluated is: 162.

How to Evaluate an Expression?

To evaluate the expression, 6x^4y^3, substitute x = -1 and y = 3 into the expression and solve.

6(-1^4) × 3^3

6(1) × 27

6 × 27

162

The value of the expression, 6x^4y^3, is: 162.

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Donna sells pencils for $2 and pens $3. She sold 11 items and made $30. How many pens did she sell ?

Answers

Donna sold 3 pencils and 8 pens solved using simultaneous equation

What is a simultaneous equation?

Simultaneous equation refers to related equations that are solved at the same to derive answers to the unknown variables

Let assume that X pencils were sold and Y pens were sold

The total revenue is the sum of the prices multiplied by the quantities sold.

2X+3Y=30   (equation 1)

The sum of X and Y sold is 11

X+Y=11   (equation 2)

multiply the second equation by 2

2*(X+Y=11)

2X+2Y=22 (equation 3)

subtract equation 3 from 1

(2X+3Y=30)-(2X+2Y=22)

Y=8

Substitute for Y in equation 2

X+8=11

X=11-8

X=3

Which means he sold 3 pencils and 8 pens.

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Answer:

8

Step-by-step explanation:

Assuming the world population growth rate is 1% and the current population is about 7 billion, next year the population will be:

Answers

Assuming the world population growth rate is 1% and the current population is about 7 billion, next year the population will be 7.01 billion.

To calculate the percentage increase rate, use the fundamental increase charge formulation: subtract the original from the brand new cost and divide the results by way of the original cost. to show that right into a percent boom, multiply the results by 100.

The population of a given area is described as the range of humans generally residing in that vicinity, measured on 1 January in a given 12 months. The supply can be the most latest population census.

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Can someone pls help me with this problem?

Answers

For the first blank, since the output increases by 5 for each increase of 1 for the input, the answer is 13+2(5) = 23.For the second blank, since the output increased by 10 compared to 23, the input increased by 2. So, the answer is 5 + 2 = 7.We know the output is of the form 5x+b for some constant b. If we test input of 1 and an output of 3, we get an input of 1 gives 5+b, which is equal to 3, meaning b=-2. So, the answer is 5x-2.

Accordding to this function
What is:-

limf(x)
x approches 2⁺​

Answers

Answer:

Limit does not exist

Step-by-step explanation:

This is a piece-wise function, since we are finding the limit of f(x) when x is approaching 2 from the right, we know that x must be more than 2. However, based on the piece-wise function, there is no function that satisfy this condition, therefore the limit does not exist for this piece-wise function

4.751 4.373 4.177 4.676 (a) Construct a confidence interval for the mean rate. Round the answer to at least four decimal places. A confidence interval for the mean rate is

Answers

98% confidence interval for the mean rate = [4.1437 , 4.4983]

We are given the interest rates (annual percentage rates) for a 30-year fixed rate mortgage from a sample of lenders in Macon, Georgia for one day ;

4.751, 4.373, 4.177, 4.676, 4.425, 4.228, 4.125, 4.251, 3.951, 4.192, 4.291, 4.414

Now, Firstly we will find the Mean of the above data, Xbar ;

Mean, Xbar = ∑ x ÷ n =

4.751 + 4.373 + 4.177 + 4.676 + 4.425 + 4.228 + 4.125 + 4.251 + 3.951 + 4.192 + 4.291 + 4.414 ÷ 12 = 4.321

Standard deviation, s = √ ∑(x - x bar)²÷ n-1 = 0.226.

Now, the pivotal quantity for the 98% confidence interval for the mean rate is;

P.Q = x bar - ц ÷ n - 1 ≈ tn - 1

where, Xbar = sample mean

s = sample standard deviation

n = sample size = 12

So, 98% confidence interval for the mean rate, μ is ;

P(-2.718 < t₁₁ <2.718) = 0.98

P(-2.718 <Xbar - μ σ√ⁿ < 2.718) = 0.98

P(Xbar - 2.718 * ₈÷ √ⁿ < μ Xbar +  2.718 * ₈÷ √ⁿ ) = 0.98

98% confidence interval for μ = (Xbar - 2.718 * ₈÷ √ⁿ < μ Xbar +  2.718 * ₈÷ √ⁿ ) = 0.98

[4.321 - 2.718 * 0.226 ÷ √₁₂ , 4.321 + 2.718 * 0.226 ÷ √₁₂

                                  = [4.1437 , 4.4983]

Therefore, 98% confidence interval for the mean rate = [4.1437 , 4.4983]

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5. A bus covers a certain distance in 45 minutes if it runs at a Speed of 60km/hr. What must be the speed of the bus in order to reduce the time by 20 minutes.​

Answers

Answer:

108 km/hr

Step-by-step explanation:

45 minutes = 3/4 hours

1) Distance = speed × time

= 60 × 3/4

= 45 km

2) 20 minutes = 1/3 hours. So, 3/4 - 1/3 = 5/12 hours.

speed = distance / time

= 45 / 5/12

= 108 km/hr

b) In the last year, the average rainfall in Pokhara valley during the first 6 months was 150 mm and the average rainfall of the remaining months was 60 mm. Find the average rainfall of the whole year. The average selling of the first 4 days of a shop in the last week was c) Rs 425 and the average selling of the remaining days was Rs 250. Find the average selling of the shop in the whole week. a) Shashwat obtained an average marks of 15 in 3 subjects. When the marks obtained in another subject is also included, the average marks is increased by 1. Find the marks obtained in the fourth subject. b) The average marks of English, Nepali, Science and Social Studies obtained by Sunayana is 70. If the marks obtained in Mathematics is also included, the average marks is increased by 5. Find her marks in Mathematics. eative Section - B The a . b ) In the last year , the average rainfall in Pokhara valley during the first 6 months was 150 mm and the average rainfall of the remaining months was 60 mm . Find the average rainfall of the whole year . The average selling of the first 4 days of a shop in the last week was c ) Rs 425 and the average selling of the remaining days was Rs 250. Find the average selling of the shop in the whole week . a ) Shashwat obtained an average marks of 15 in 3 subjects . When the marks obtained in another subject is also included , the average marks is increased by 1. Find the marks obtained in the fourth subject . b ) The average marks of English , Nepali , Science and Social Studies obtained by Sunayana is 70. If the marks obtained in Mathematics is also included , the average marks is increased by 5. Find her marks in Mathematics .​

Answers

Answer:

For b), the answer is 105mm

Step-by-step explanation:

(150+60)/2

Points u, m, and d are collinear with m between u and d. given um=5x+30 md=3x+80 ud=10x+20

Answers

The lengths um, md and ud are 255 units, 215 units and 470 units respectively, when given that points u, m, and d are collinear with m between u and d and um=5x+30, md=3x+80, ud=10x+20. This can be obtained by adding um and md which is equal to ud. An equation is obtained and solve for x.

What is the required lengths ?

Given that, um=5x+30  

                  md=3x+80

                  ud=10x+20

We know that m is the midpoint of ud

Thus, um + md = ud

                 5x+30 + 3x+80 = 10x+20

                 5x+3x + 30+80 = 10x+20

                      8x + 110 = 10x+20 (taking terms with x to one side of equation)

                             10x - 8x = 110 - 20

                                     2x = 90

                                   ⇒ x = 45

Therefore the lengths,

um=5x+30 = 5(45)+30 = 225 + 30 = 255

md=3x+80 = 3(45)+80 = 135 + 80 = 215

ud=10x+20 = 10(45)+20 = 450 + 20 = 470

Hence the lengths um, md and ud are 255 units, 215 units and 470 units respectively, when given that points u, m, and d are collinear with m between u and d and um=5x+30, md=3x+80, ud=10x+20.

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The function g(x) is graphed.

On a coordinate plane, a curved line enters the plane at point (negative 2.3, 5), crosses the x- and y-axis at (0, 0), and leaves the plane at point (2.3, 5).

Which statements about the function are true? Choose three options.

Answers

The statements about the function that are true include:

g(0) = 0

g(1) = -1

g(-1) = 1

How to depict the function?

From the information, the points include:

(x1, y1) = (-2, 2, 5).

(x2, y2) = (0, 0)

(x3, y3) = (2, 3, 5).

It should be noted that (x2, y2) implies that g(0) = 0. In this case, the statements about the function that are true include g(0) = 0, g(1) = -1, and g(-1) = 1. This is illustrated in the graph.

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Collect Data from Our Solar System
Fill in the table. To obtain each planet's distance from the sun

Answers

Answer:

jupiter, Saturn, Uranus, neptune are all distance from sun

Step-by-step explanation:

Answer:

AU:

Merc-0.39

Venus-0.72

Earth- 1

Mars- 1.52

Jupiter - 5.20

Uranus - 19.1

Neptune - 30

Years:

Merc-0.24

Venus-0.61

Earth- 1

Mars- 1.88

Uranus - 84?(maybe)

Neptune - 165

Step-by-step explanation:

Edge

What is the value of (-5)^4

Answers

Answer:

-20

Step-by-step explanation:

-5-5-5-5=-20

50 POINTS HELP NOW

Find the logarithm base 10 of each number:
10

Answers

The logarithm base 10 of the number 10 is 1

How to solve logarithm ?

We have to find logarithm base 10 of number 10.

Therefore, using logarithm rule

logₐ a = 1

Hence,

log₁₀ 10 = 1

Therefore, logarithm base 10 of the number 10 is 1

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Answer:

1

Step-by-step explanation:

help me i dont understand this

Answers

False

All functions are relations, but not all relations are functions
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Some temperance reformers believed that alcohol should be banned. What did other temperance reformers believe?A) People should drink less alcohol.B) Children should drink alcohol.C) Only wealthy people should drink alcohol.D) People should drink alcohol only on Sunday. Ehrenreichs thesis comes in two parts. The first part can be found in par. 5; the second part is in par. 10. What is her thesis? The manager of a firm should change the capital structure if and only if Blank______. Multiple choice question. the value of the debt exceeds the value of the equity the change will increase the value of the firm it benefits management the change will decrease the value of the firm Two microwave frequencies are authorized for use in microwave ovens, 910 and 2555 MHz. Calculate the wavelength (in cm) of each. A microbiologist was surprised when he could not recover Helicobacter pylori from gastric biopsies in which organisms were seen in the tissue sections. He was advised to switch from the Campy BAP selective medium to Skirrow's blood agar because the latter is: Which of the following statements is true of patent enforcement? Group of answer choices Upon the expiration of a patent, an invention is removed from the public domain. The explicit purpose of patent law is to maintain secrecy of inventions for an indefinite time period. Beyond the duration of a patent, the owner can sue those who infringe on it. Patent laws include the right to use the invention. Usually multiple intellectual property rights can cover the same article. Chase Company has 10 employees, who earn a total of $2,200 in salaries each working day. They are paid on Monday for the five-day work week ending on the previous Friday. Assume that year ended on December 31, which is a Wednesday, and all employees will be paid salaries for five full days on the following Monday. The adjusting entry needed on December 31 is: Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0.R'(x) = 599 - 0.21sqrt(x)What is the integral that is needed to solve the problem and the demand function? How did Building U.S. defenses help lead the U.S Into World War 2 A 4y/o with a rare genetic disorder demonstrates bilateral excessive pronation due to ligamentous laxity and hypotonia. She is able to clear B feet during swing phase without issue. What is the most appropriate orthotic for this child A dog starts chasing gretchen. when her brain sends a signal to her muscles to run, which cells are at work? sensory motor interneuron leukocyte I NEED HELP ASAPCiting examples from the novel, describe what Annes life was like before entering the Secret Annex.The book tittle is "Anne Frank The Diary of a Young Girl " Write the first five terms of the sequence. an = n 2 + 2 2, 3, 6, 11, 18 3, 6, 9, 12, 15 3, 6, 11, 18, 27 If you answer this question i will give you 100 points!!!!!!!!Write a short dialogueboth sides of the conversationin Spanish between you and your classroom friend Celeste in complete sentences. Use the vocabulary from this lesson and the following suggestions as a guide for your answer: You may copy and paste the accented and special characters from this list if needed: , , , , , , , , , , , , , , *Note: The sample sentences/questions in parentheses are just a guide to help you form your sentences/questions. You must come up with your own original answers keeping academic integrity intact.Greet your friend and ask how she is doing in one sentence. (e.g., Hi, how are you?)Have your friend respond how she is doing and ask you how you are doing. (e.g., I am well, thanks, and you?)Respond to your friend that you are well, in one sentence. (e.g., I am well, thanks.)Give a farewell. (e.g., See you later.) Determine if the given ordered triple is a solution of the system.(4, -5, -4)4x + 2y + z = 25x - 4y - z = 443x + y + 4z = -9 The diameter of a sphere isa chord that passes through the center of the sphere.a fixed point equidistant from all points on the surface of the sphere.a line segment from the center point to a point on the sphere.a three-dimensional circle in which all points are equidistant from a fixed point. 7Solve the system of inequalities by graphing.2x + 5y < 25y < 3x-25x - 7y < 14 DUE NOW Write the questions. Follow the example given below. Ex. Did you wake up early? No I didnt. I woke up late. 1. __________________________________________________ at 7:00? No, we didnt. We met at 8:00. 2. ____________________________________________ at the pool? No, he didnt. He swam in the lake. 3. _______________________________________________ apples? No, she didnt. She bought oranges. 4. ______________________________________________ French? No, they didnt. They spoke Spanish. 5. _______________________________________________ to school? No, I didnt. I drove to the office. 6. _____________________________________________________ on time? No, he didnt. He came late. 7. _____________________________________________ to Paris? No, she didnt. She flew to Rome. 8. __________________________________________________ your purse? No, I didnt. I lost my wallet. 9. ____________________________________________ a big fish? No, he didnt. He caught a small one. 10. ___________________________________________________ a cake? No, she didnt. She made a pie. 11. ______________________________________________________ 8 hours? No, I didnt. I slept 9 hours. 12. ________________________________________________ their mother? No, they didnt. They told me. 13. _______________________________________________ on the sofa? No, we didnt. We sat on chairs. 14. __________________________________________________ a skirt? No, she didnt. She wore a dress. 15. _________________________________________________ the windows? No, I didnt. I shut the door. 16. ______________________________________ at the front of the room? No, she didnt. She stood at the back of the room. Find m/HFG if m/EFG = 2x + 52, m/EFH = 21, andm/HFG = x + 31. Hi please help, tysm. Answer is in nmWhat is the wavelength of a photon iftheenergy is 7.41 x 10-19 J? (h= 6.626 x 10-34 J.s)