HELP QUICK PLEASE!!!

HELP QUICK PLEASE!!!

Answers

Answer 1

Answer: p = -2/3, sum = 0

Step-by-step explanation:

Additive inverse has the name numerical value as the given number but has the opposite sign so when they are added together they equal zero. The sum of any number and its additive inverse equal 0.

EX: 1 and -1      

1+ (-1) = 0

EX: -4.5 and 4.5

-4.5 + 4.5 = 0


Related Questions

Babe Ruth, a professional baseball player known for hitting home runs, had a batting average of 0.342. Hank Aaron, another record home run hitter, had a batting average of 0.305.

Answers

3.7% greater was Babe Ruth's batting average than Hank Aaron's.

Given that, Babe Ruth, a professional baseball player known for hitting home runs, had a batting average of 0.342.

What is the average?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

According to the question, 0.342-0.305

= 0.037

Now, 0.037 × 100

= 3.7%

Hence, 3.7% greater was Babe Ruth's batting average than Hank Aaron's.

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"Your question is incomplete, probably the complete question/missing part is:"

Babe Ruth, a professional baseball player known for hitting home runs, had a batting average of 0.342. Hank Aaron, another record home run hitter, had a batting average of 0.305. How much greater was Babe Ruth's batting average than Hank Aaron's?

Jack is now seven times as old as James. In 5 years, Jack will be five times as old as James. How old is
James now?
70
10
55

Answers

Answer:10

Step-by-step explanation:Step-by-step explanation:

James's age = x

Jack's age = y

y = 7x

y + 5 = 5(x + 5)

y = 7x

y + 5 = 5x + 25

7x - y = 0

5x - y = -20

7x - y = 0

-5x + y = 20

2x = 20

x = 10

James's age: x = 10

The probability of selecting a patient who has an PPO plan is 0.46. The probability of selecting a patient who is between the ages of 30 and 55 is 0.43. The probability of selecting a patient who has an PPO plan and is between the ages of 30 and 55 is 0.27. What is the probability of selecting a patient who has an HMO plan or is
between the ages of 30 and 55?

Answers

The probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 is 0.62

Given,

probability of selecting a patient who has an PPO plan=P(A)=0.46

probability of selecting a patient who is between the ages of 30 and 55=P(B)=0.43

probability of selecting a patient who has an PPO plan and is between the ages of 30 and 55 =P(A∩B)=0.27

then, to find the probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 i.e. P(A∪B) use formula,

P(AUB)=P(A)+P(B)-(A∩B)

P(AUB)=0.46+0.43-0.27

P(AUB)=0.62

Thus,the probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 is 0.62

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Jaxson has a collection of 200 coins. How many coins represent 5% of his collection?

Answers

Answer: 13 coins

Step-by-step explanation:

100% --> 260

1% --> 2.6

5% --> 13

Answer:

10 coins

Step-by-step explanation:

Jaxson has a collection of 200 coins. How many coins represent 5% of his collection?

5% = 0.05

200 * 0.05 = 10 coins

Evaluate and match each expression on the left to its value on the right, when x = 9 and y = 6.
12 - x
x + 3y
4y - 10
xy
3
27
18
14

Answers

The correct matches for the given values of x and y can be found by substituting the values in the equations which are 12-x = 3, x+3y= 27, 4y-10=14, xy=54

What is an equation?

Equation is an expression which have equality symbol in between

It means an expression in variable is equal to the constant.

We are given that x= 9 and y=6

We are asked to match the possible value

i) 12 -x

To solve this we substitute x= 9 in the equation

12-9

=3

ii) x+3y

To solve this we substitute x = 9 and y=6

9+3(6)

=9+18

=27

iii) 4y-10

To solve this we substitute  y=6

=4(6)-10

=24-10

=14

iv) xy

To solve this we substitute x = 9 and y=6

= 9(6

=54

Hence the correct matches are 12-x = 3, x+3y= 27, 4y-10=14, xy=54

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Calculate the radius of the circle if its area is 110 mm².

Answers

The radius of the circle is 5.91mm

What is the area of the circle?

The area of the circle is the product of mathematical constant pi and square of the radius. radius is the distance of a point on the circle from the center of the circle.

The area of the circle is 110 mm^2

We have to find the radius to do that we first substitute the value of area in the area of circle formula and then compute the value of the radius

We know that,

The area of the circle

= π·r^2

110=22/7*r^2

35 = r^2

r= 5.91mm

Hence The radius of the circle is 5.91 mm

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Emilio Ramirez has a 35%-off coupon and is purchasing a
3-light chandelier that has a regular price of $115.00.
a. What is the markdown?
b. What is the sale price?
c. What is the sale price using the percent paid method?

Answers

a) The markdown is $40.25 with the 35%-off coupon.

b) The sales price after the markdown is $74.75.

c) The Sales price using the percent paid method is $74.75.

What is the markdown?

The markdown is the difference between the regular retail price and the amount paid for the item.

The markdown is a reduction in the cost or price of an item.

The markdown is the opposite of the markup, which increases the cost.

Coupon off = 35%

Regular price = $115.00

a) Markdown = $40.25 ($115 x 35%)

b) Sale price = $74.75 ($115.00 - $40.25)

c) The Sales price using the percent paid method = $74.75 ($115 x 1 - 35%)

Thus, Emilio Ramirez with a 35%-off coupon (markdown) paid $74.75 for a 3-light chandelier regularly priced at $115.00.

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The area of square $ABCD$ is 100 square centimeters, and $AE = 2$ cm. What is the area of square $EFGH$, in square centimeters?

Answers

The area of square EFGH is 68 square centimeters

What is the area of a geometric figure?

The area of a geometric shape or figure is the area enclosed in its boundary.

Please find attached a possible drawing of the information in the question

The area of square ABCD = 100 square centimeters

Length of segment AE = 2 cm

Therefore;'

The side length of the square ABCD, s = √(100) = 10

The length of segment AB = 10 cm

AB = AE + EB (segment addition postulate)

10 = 2 + EB (substitution property of equality)

EB = 10 - 2 = 8

EB = 8 cm

∠CFG ≅ ∠AHE (alternate interior angles)

ΔCFG ≅ ΔAHE (ASA congruency postulate)

Similarly; ΔEBF ≅ ΔHAE (ASA congruency postulate)

BF = AE (CPCTC) = 2

[tex]\overline{EF}=\sqrt{\overline{EB}^2 +\overline{BF}^2}[/tex](Pythagorean theorem)

Therefore;

EF = √(8² + 2²) = √(68)

EF = √(68)

Area of a square = (Length of one side)²

Therefore, area of square EFGH = [tex]\overline{EF}^2[/tex]

Which gives; Area of square EFGH = (√(68))² = 68

The area of square EFGH is 68 square meters

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Adan is writing a comic book. His publisher has requested that he turned 50 pages draft by one day. If he's written 40 pages what percent does he still need to complete?

Answers

I believe its 20%

Explanation- To do Percentages you have to divide. I divided 40 by 50 which is .80 and then I multiplied by 100 and got 20. So I believer the answer is 20%.

The trail is 2448 miles long. It begins in city a and ends in city be man Fred has hiked three eights of the trail before how many miles has he hiked

Answers

The number of miles which Fred has hiked according to the task content is; 918 miles.

How many miles has Fred hiked?

It follows from the task content that the given trail in discuss is 2448 miles long and the actual number of miles hiked by Fred is to be determined.

Given; Trail distance = 2448 miles.

However, Fred has hiked three eights of the trail before;

It therefore follows from proportion that;

If; 1 trail = 2448 miles;

Then; 3 / 8 trail = 3 / 8 × 2448 miles.

= 918 miles.

On this note, the number of miles hiked by Fred is; 918 miles.

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A rancher has 444 feet of fencing to enclose two adjacent rectangular corrals. The wall separating the two
corrals consists of a single fence. What dimensions for one of the individual corrals will produce the largest
total area?

Answers

Answer:

2 lengths and 3 widths

444 = 2*L + 3*w --> L = (444 - 3w)/2 = 222 - (3/2)w

Area = length x width

Area (w) == (222 - (3/2)w ) w

The max occurs at the average of the zeros.

The zeros are 222 - (3/2)w = 0 or w=0

222 = (3/2)w or w=0

w = 444/3=148 or w=0

The average is (444/3 +0)/2 = 222/3=74

width is 74 and length is 222 - (3/2)(74) = 222 - 111 = 111

The max area is 74 * 111 = 8214

4) Employees
at The Shoe Shack get a
25% discount when they buy a pair
of shoes at the store.
Theo wants to buy a pair of shoes with a regular price of $48.
What is the discount on a pair of shoes with a regular price of $48?

Answers

Answer: 12

Step-by-step explanation: 25% is always 25/100 or 1/4. To get this you have to multiply 48 by 1/4 with is 48/4 = 12$.

Hoped This Helped!

Using the graph below, determine the employee's hourly wage.

Answers

By using the graph, the employee's hourly wages is calculated as $10.6

Graph:

Basically, a graph is a collection of points, called vertices, and lines between those points, called edges.

Given,

Here we have the graph with straight line.

And we need to determine the employee's hourly wage.

While we looking into the graph we have identified that the x axis refers the number of hours the employ is working and the y axis refers the money earned by them.

In order to find the wages for one hour, we need to select one point from the graph.

Here we have take the point  (5,53)

The first point refers the number of hours that is 5.

And the second one refers the wages for 5 hours that is 53.

So, the one hour wages is calculated as,

=> 53/5

=> 10.6

Therefore, the employee's hourly wage is $10.6.

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7) Keith had 100 dollars to spend on 7 books. After
buying them he had 16 dollars. How much did each book cost?
8) Sally spent half of her allowance going to the movies. She washed the family
car and earned nine dollars. What is her weekly allowance if she ended with
sixteen dollars ?
9) Oceanside Bike Rental Shop charges 15 dollars plus 6 dollars an
hour for renting a bike. Joan paid 57 dollars to rent a bike. How many
hours did she pay to have the bike checked out ?
10) On Monday, one hundred sixty-nine students went on a trip to the zoo. All four
buses were filled and nine students had to travel in cars. How many students were
in each bus?

Answers

Answer:

7)

so

100-16=84

then

84÷7=12

each book costs 12 dollars

URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!

Match the picture with the correct vocabulary for the 2 angles shown.

Answers

Answer:

3: alternate exterior angles 4: supplementary angles

Step-by-step explanation:

3: they are outside, on dif sides.

4: same side, and make 180 degrees

The function f(x)
o 95 miles; f(3) represents the total distance remaining after 3 hours.
represents the total distance traveled after 3 hours.
O 95 miles; f(3)
O 165 miles; f(3)
represents the total distance remaining after 3 hours.
O 165 miles; f(3)
represents the total distance traveled after 3 hours.
= 260 - 551
represents the distance, in miles, remaining on a trip z hours into the trip. What is the value of f(3), and what does it represent?

Answers

f(x) represents the distance, in miles, remaining on a trip z hours into the trip. The value of f(3) is 95 miles and it  represents the total distance remaining after 3 hours.

Define function.

A function is a relationship between a number of inputs where each input has exactly one output, according to one definition. f is typically used to represent a function (x). A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given,

Function:

f(x) = 260 -55x

When f(3)

f(3) = 250 - 55(3)

f(3) = 250 - 165

f(x) = 95

95 miles; f(3) represents the total distance remaining after 3 hours.

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Consider the frequency distribution to the right. Complete parts (a)
through (c) below.
Value
624
541
606
577
586
610

Frequency
12
8
10
15
5
6

Find the mean of the frequency distribution

Answers

The mean of the frequency distribution is 591.446.

Let the values be 'x' and frequency be 'f'

To find the mean of the frequency distribution use formula,

[tex]Mean=\frac{Sum of values}{Total number of values}[/tex]

where, sum of the values = ∑fx

Total number of values=∑f

From table,

First find fx,

[tex]f1x1=624*12=7488\\\\f2x2=541*8=4328\\\\f3x3=606*10=6060\\\\f4x4=577*15=8655\\\\f5x5=586*5=2930\\\\f6x6=610*6=3660[/tex]

Now,

∑fx=[tex]7488+4328+6060+8655+2930+3660=33121[/tex]

Now , the total number of values,

∑f=[tex]12+8+10+15+5+6=56[/tex]

Now,

[tex]Mean=\frac{33121}{56} =591.446[/tex]

Thus, the mean of the frequency distribution is 591.446.

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help. 20 points. this is a proportion question.
what does x = ?

Answers

Answer:

x = 7

Step-by-step explanation:

[tex]\frac{3}{x}=\frac{x-4}{7}[/tex]

==> cross multiply

[tex]3*7=x*(x-4)[/tex]

==> simplify

21 = x² - 4x

==> subtract 21 from both sides

0 = x² - 4x - 21

==> factorize by finding two numbers that multiply to -21 and add up to equal -4

0 = (x - 7)(x + 4)

==> set each factor to 0 and solve for x

0 = (x - 7)             0 = (x + 4)

 7 = x                      -4 = x

We can now plug in the values of x into the proportion to see which are true.

           [tex]\frac{3}{x}=\frac{x-4}{7}[/tex]                                                [tex]\frac{3}{x}=\frac{x-4}{7}[/tex]

            x = 7                                                      x = - 4

          [tex]\frac{3}{7}=\frac{7-4}{7}[/tex]                                                [tex]\frac{3}{-4}=\frac{-4-4}{7}[/tex]

==> subtract 4 from 7                              ==> subtract -4 from -4

            [tex]\frac{3}{7}=\frac{3}{7}[/tex]                                                      [tex]-\frac{3}{4}=-\frac{8}{7}[/tex]

The only true answer is x = 7

Z varies jointly as the square root of the product of X and Y. IF z=3 when X=3 and Y=12 find X when Z=6 and Y=64

Answers

When Z=6 and Y=64 the given proportionality value of x = 1/2.

What is proportionality?

  The concept of proportionality in mathematics denotes the linear relationship between two quantities or variables. The size of one item increases by twofold, whereas the size of the other quantity decreases by one-tenth of the earlier amount. Two integers that each represent a component of a whole are compared to determine their proportion. In essence, a percentage declares that two fractions are the same even if the amounts are different. For instance, half of 10 marbles is equal to half of 50 marbles in terms of proportion.

Here Z varies jointly as the square root of the product of X and Y.

Then,

=> Z∝[tex]\sqrt{XY}[/tex]

=>Z=k[tex]\sqrt{XY}[/tex]

Where k is constant . Now put X=3 , Y = 12, Z=3.

=> 3=k*[tex]\sqrt{12*3}[/tex]

=> k = 6/3 = 2 .

Then the equation is ,

=> Z==3[tex]\sqrt{XY}[/tex]

Now put Z=6 and Y=64

=> 6 = 3[tex]\sqrt{x*64}[/tex]

=> 2/8 =[tex]\sqrt{x}[/tex]

=>[tex]\sqrt{x}[/tex] = 1/4

=> x = 1/2.

Hence the value of x is 1/2.

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Ayuda, por favor. Amir condujo desde Jerusalén hasta el lugar más bajo de la Tierra, el Mar Muerto, descendiendo a una velocidad de 12 metros por minuto. Estaba al nivel del mar después de 30 minutos de conducción. Representa gráficamente la relación entre la altitud de Amir relativa al nivel del mar (en metros) y el tiempo (en minutos).

Answers

The linear function y = -12x + 360, representing Amir's height at a time of x minutes, is graphed at the end of the answer.

What is a linear function?

The slope-intercept representation of a linear function is given by the rule shown as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the numeric value of the function when the input x is of zero.

From the test, his rate is of -12 m/s, hence the slope of the function is given as follows:

m = -12.

When x = 30, y = 0, hence the intercept b of the linear function can be obtained as follows:

0 = -12(30) + b

b = 30 x 12

b = 360.


Thus the equation is:

y = -12x + 360.

The domain in which the function is graphed is:

x ≥ 0.

As time cannot assume negative values.

Translation

The problem asks for the graph of the linear function, considering that:

Amir's rate is of -12 m/s.He is at sea level at a time of 30 minutes.

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A bag contains 18 red marbles. The ratio of red marbles to blue marbles is 6 to 9. Find the number of blue marbles in the bag. Please explain!

Answers

Answer:

Step-by-step explanation:

is enough to think it will work with the new system but not the new one that is already working on the old one

The legs of a right triangle are 18 centimeters and 80 centimeters long. What is the length of the hypotenus: 82 or 85 or 89 or 98

Answers

Answer:

82

Step-by-step explanation:

1.) Recognize that this is the Pythagorean Triple 9, 40, 41, just multiplied by two (9*2 = 18, 40*2 = 80).

2.) Now, to find the third number, we just multiply 41 by 2 to get 82.

Answer:

The hypotenuse is equal to 82 centimeters.

Step-by-step explanation:

Using the Pythagorean theorem (a^2 + b^2 = c^2), which states that the legs of a right triangle (a and b) squared, equal the hypotenuse squared, we can plug in the values of the legs of the right triangle into spots a and b.  This gets us the equation 80^2 + 18^2 = c^2. We can then square the values to get 6400 + 324 = c^2. We then get 6724 = c^2, and then take the square root of both sides to get the value of c, the hypotenuse. This gets us c = 82, so the hypotenuse is equal to 82 centimeters.

math geometry help help

Answers

W=20 use a porportion

Answer: w = 20 and the other side would be 16

Step-by-step explanation: based on the shortest side, it looks like all of the sides would be multiplied by 4 getting the answer above. The degree of all of the angels should be the same as the smaller triangle as it’s just a sized up version.


Sorry if it’s wrong, I’ve never used this program before. Good luck!

The length of a rectangle is four more than twice its width. If the perimeter of the rectangle is 56 cm, what is the width of the rectangle?

Answers

The rectangle has its width to be 8 cm

How to determine the width the rectangle?

From the question, we have the following parameters that can be used in our computation:

The length of a rectangle is four more than twice its width

The perimeter of the rectangle is 56 cm.

The above parameters imply that

L = 2W + 4

P = 2(L + W)

Where L represents the Length and W represents the width

The perimeter is given as 56

So, we have

2(L + W) = 56

So, we have

L + W = 28

Substitute L = 2W + 4 in L + W = 28

2W + 4 + W = 28

Evaluate

3W = 24

Divide by 3

W = 8

This means that the width of the rectangle is 8 cm a

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PLEASE HELP ME I’ll GIVE 20 PTS!!! The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find the discounted price?

Answers

Answer:

10.2

Step-by-step explain:

Subtract 15 from 100, you should get 85. Then move the decimal 2 times to the left from 85, then 12 and .85 and that is you answer.

Answer:

10.20

Step-by-step explanation:

12-15%= $10.20

And that's it just subtract with the % sign and you'll get the same

Measure of ∡5


(Hint: What theorem lets you compare ∡3 and ∡5?)

Answers

Answer:

mAngle5 = 52° by

Alternate Interior angles

Step-by-step explanation:

When you have a pair of parallel lines and a transversal (the line that crosses them both)

this set up makes 8 angles....ALL the angles are either the same measure or they add up to 180°. Literally, if you know the measure of ONE angle, you can find the measure of all 8 angles. Its only two different numbers for all 8.

So, for your problem the two angles are in between the parallel lines (interior) and on different sides of the tranversal (alternate). By the Alternate Interior Angle Theorem they are congruent. One of them is 52° so the other one is also 52°

Are there any values of x for which the areas of the figures are the same? Explain.

Answers

The area of the triangle is x + 1 cm², while the area of the rectangle is x cm². Therefore, there is no value of x that makes the areas of both figure equal, because there is no solution to the equation.

How to Find the Areas of Rectangle and Triangle?

A triangle's area = 1/2(base)(height)

A rectangle's area = length × width.

Area of the green triangle = 1/2(x + 1)(2)

Area of the green triangle = x + 1 cm²

Area of the rectangle = x × 1

Area of the rectangle = x cm²

Setting both areas equal, we have:

x + 1 = x

x - x = -1

0 = -1 [not true]

There's no solution or the values of x.

Therefore, we can conclude that there are no values of x for which the areas of both shapes are equal, because there is no solution to the equation.

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Assume the hypothesis is false. What is the
truth value of the conditional? Assume
the hypothesis is true. What would be
a counterexample?

Answers

The conditional statement has a true truth value if neither the hypothesis nor the conclusion is true.

A conditional statement is phrased as follows if we have the two propositions P and Q:

Q if P is true.

where P denotes the premise and Q denotes the result

The following are conditional statements' truth values:

The conditional statement is true if P and Q are true.

The conditional statement is false if P is false and Q is true.

The Conditional statement is false if P is true and Q is false.

The conditional statement is true if P and Q are both false.

Therefore, the conditional statement's truth value is true if both the hypothesis and the conclusion are false.

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To practice for a competition, Barry swam 730 meters in the pool each day for 4 weeks. How many kilometers did Barry swim in those 4 weeks? 1 m = 0.001 km

Answers

Answer:

20.44 km

Step-by-step explanation:

The values are,

→ 730 m = 0.730 km

→ 4 weeks = 28 days

Now Barry swam in 28 days is,

→ 0.730 × 28

→ 20.44 km

Hence, answer is 20.44 km.

if 1,2 and 3 are the eigen values of A=[2 0 1; 0 2 0; a 0 2], find the value of a?

Answers

The value of ''a'' will be 1

What is Matrix?

A set of numbers arranged in rows and columns so as to form a rectangular array, is called Matrix.

Given that;

1,2 and 3 are the eigen values of matrix A.

Now,

We know that;

The product of eigen values of a matrix is equal to the determinant of that matrix.

So, We find the determinant of matrix as;

[tex]A = \left[\begin{array}{ccc}2&0&1\\0&2&0\\a&0&2\end{array}\right][/tex]

Hence, We get;

| A | = 2 (4 - 0) - 0 (0 - 0) + 1 (0 - 2a)

| A | = 8 - 2a

And, The product of eigen values = 1 x 2 x 3 = 6

Hence, We get;

| A | = 8 - 2a

6 = 8 - 2a

2a = 8 - 6

2a = 2

a = 1

Thus, The value of ''a'' will be 1

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are those costs that the profit center manager can influence in approximately a year or less.b) are those costs that the profit center manager can influence in approximately a year or more.c) include variable costs. if the u.s. patent office were to issue a patent for a new type of tomato that tastes like a jellybean, it would be issuing a patent? is the streamlining of production by eliminating steps in the production process that do not add benefits that customers are willing to pay for. A block of ice with a mass of 10 kg is resting on a frozen pond. How much force will it take to accelerate the ice at 0.25 m.s^-2 What is the opposite of l3l A dinner theater charges $20 per person. Your table can hold a maximum of five people. Does the situation represent a function?. Multiply the whole number and fraction. Simplify your answer and write it as a mixed number 35/9 as soon as he saw one, jose wanted a flat-screen television, but he was worried about making the wrong choice. he waited until there were alternatives in the market with lower prices and improved quality. jose is part of the ________diffusion of innovation group. early majority early adopter laggard innovator late majority. Find the value of x in each case. COMPUTER TABLETS Last year, an office supply store sold 220 computertablets for $420 each. This year its manager is considering reducing theprice to increase sales. She estimates that for each $12 decrease in price,the store will sell 20 additional tablets. a. Define variables and write a function to represent the situation. b. How much should the store charge for each tablet to maximize its profit?c. Find the domain and range in the context of this situation Presidents george w. Bush, barack obama, and donald trump widely used presidential ________, written messages issued upon signing a bill into law, as a way of influencing how policies were to be administered. mores are select one: a. norms governing everyday social behavior, the violation of which raises comparatively little concern. b. norms that are deemed highly necessary to the welfare of a society. c. norms that are made by government for society, interpreted by the courts, and backed by the power of the state. d. norms that are made by a few individuals are often considered unnecessary. A _________ is a legal agreement between two or more people and is the least common form of business. Which historic event is most closely associated with the concerns expressed by president wilson?. a cost incurred for the benefit of more than one cost objective is a. a variable cost. b. a conversion cost. c. a prime cost. d. a common cost. What is one way the u. S. Economy can be adversely affected when interest rates are lowered?. over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. researchers surveyed a group of 273 randomly selected teen girls living in massachusetts (between 12 and 15 years old). after four years the girls were surveyed again. sixty-three said they smoked to stay thin. is there good evidence that more than thirty percent of the teen girls smoke to stay thin? the alternative hypothesis is: as nadya begins her lesson, stefan learns that the nervous system is divided into subdivisions, including the nervous system, which allows us to react to our external environment. Calc 2Suppose that 5 J of work is needed to stretch a spring from its natural length of 32 cm to a length of 49 cm.a) How much work (in J) is needed to stretch the spring from 40 cm to 44 cm? (Round your answer to two decimal places.)------Jb) How far beyond its natural length (in cm) will a force of 20 N keep the spring stretched? (Round your answer one decimal place.)------cm Evaluate the extent to which democratic ideals were more fully realized in the period 1824-1848. Writing an LEQ