The national cost C in billions of dollars for dental services can be modeled by the linear equation c=2.85n+30.52​, where n is the number of years since 1990. What would be the cost in billions of dollars in​ 2014?

Answers

Answer 1

Answer:

c=98.92

Step-by-step explanation:

first I figured out the number of years between 1990 and 2014.I basicly just subtracted 1990 from 2014 then times it by 2.85 the added 30.52

Answer 2

The cost in billions of dollars in​ 2014 would be 98.92

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that national cost C in billions of dollars for dental services can be modeled by the linear equation c=2.85n+30.52​, where n is the number of years since 1990.

Then c=2.85n+30.52

Solving then subtracted 1990 from 2014

2014 - 1990

= 24

Now

c = 2.85 (24) +30.52

c = 68.4 +30.52

c = 98.92

Hence,  the cost in billions of dollars in​ 2014 would be 98.92

Learn more about the unitary method, please visit the link given below;

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Related Questions

784x44=? Step by step.

Answers

Answer:

34496

Step-by-step explanation:

i dont know how 2 explain this but you have to do the traditional way of multiplying PLS MARK BRAINLIEST

In base 2 (Binary system), which equation is false?
*(explain answer in detail)

a) 11+1=101
b) 1x10=10
c) 11x11=1001
d) 100/1=100
e) 1+1+1=11

Answers

Answer:

it is a

Step-by-step explanation:

because 11 +1 8n binary is qlways 100 bbecause 11 is in the 4th in the truth table of binary numbers and 100 is in the 5th so 11 + 1 = 4+1

100 = 5

pls mark it as the brainlyest answer

Answer:

It's a.

Step-by-step explanation:

11 binary = 2 + 1 = 3 in decimal.

So 11 + 1 = 3 + 1 = 4 in decimal.

and 4 in binary = 100  (2^2 + 0 + 0)

A local hamburger shop sold a combined total of 517 hamburgers and cheeseburgers on Wednesday. There were 67 more cheeseburgers sold than hamburgers. How many hamburgers were sold


Help me asap

Answers

Answer:

c = 292; h = 225

c = cheeseburgers

h = hamburgers

Step-by-step explanation:

2 Equations;

h + c = 517

c = h + 67

h + h + 67 = 517  |  Substitution

2h + 67 = 517 | Subtract on Both Sides

2h = 450  | Divide

h = 225

Plug the h value in the second equation to find the value of c.

c = h +67 | Original Equation

c = 225 + 67 | Substitution

c = 292

225 hamburgers would be sold
517 - 67 = 450 (this makes them equal)
450/2 = 225 (this is the hamburger count)

Find the value of x.

Answers

Answer:

6 .x = 121°

Sum of all interior angles of a 7 sided polygon is 900°.

The expression below is the factorization of what trinomial?

(5x + 6)(3x - 2)

A. 15x^2 + 4x + 12

B. 15x^2 + 4x - 12

C. 15x^2 + 8x + 12

D. 15x^2 + 8x - 12

Answers

Answer:

Choice D is the correct answer

Step-by-step explanation:

Use the foil method and expand

Hey ! Can anyone help me solve these problems please. Thank you !

Answers

There are 3 sides to the 360 degree circle. This mean by dividing 360 by 120 = . This mean the answer would be 120 degrees per chunk of the circle. Hope this helps.

Find the slope of the line passing through the points(-9,-6) and (-4,5)

Answers

Hey there!

We're given 2 points that the line intersects, so we can easily determine the line's slope.

This is the formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\bold{\displaystyle\frac{5-(-6)}{-4-(-9)}}[/tex]

[tex]\bold{\displaystyle\frac{5+6}{-4+9}}[/tex]

[tex]\bold{\displaystyle\frac{11}{5}}[/tex]

Hence, the answer is

[tex]\boxed{\boxed{\bold{\frac{11}{5} }}}[/tex]

Hope everything is clear.

Let me know if you have any other questions!

#LearningDoesn'tEnd

:-)

[tex]\rule{200}{2}[/tex]

The fuel gauge shows how much fuel is left in a 10 gallon tank. How far can you drive if the car's average fuel consumption is 40 miles per gallon?

Answers

Answer:

ok so we have 10 gallons left and we get 40 miles per gallon so this is just multiplycaiton

10*40=400

so you can get 400 more miles

Hope This Helps!!!

Andre drinks 15 ounces of water, which is 3/5 of the bottle. How much does the bottle hold? Use x for the number of ounces the bottle holds.

Answers

Step-by-step explanation:

15 = 3/5 x = 3x/5

75 = 3x

x = 25 ounces

The table represents the number of miles to the nearest airport. Find the median.
# OF MILES: 20, 22, 24, 26
FREQUENCY: 3, 2, 1, 4

Answers

The median value in the data set is the average of the two middle values which is: 23.

What is the Median of a Data Set?

In an ordered data set, the median is the middle value or average of the two middle values in the data set.

List out each data point in the data set given:

20, 20, 20, 22, 22, 24, 26, 26, 26, 26

The middle values in the data set are, 22 and 24.

Median = (22 + 24)/2

Median = 23

Learn more about the median on:

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The difference between the number of items on two grocery lists is 7. The combined total number of items on the lists is 33.

Answers

Answer:

20 and 13

Step-by-step explanation:

If one list is 'a' and the other one is 'b' then

a-b = 7 and a+b = 33

a-b+a+b = 7+33

2a = 40

a = 20

Now, 20 - b = 7

-b = -13

b = 13

1. Find the area of the polygon
2. Find the area of the polygon
A=__ sq. un

3. In the figure, each of the small squares has an area of 1. What is the area of the shaded region?
(A) 50
(B) 45
(C) 100
(D) 55

Answers

Answer:

1. A = 40 units²

2. A = 72 units²

3. B) 45

Step-by-step explanation:

1.  This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 4(1/2 x 5 x 4)

                                             = 40 units²

2.  This shape comprises two pairs of congruent triangles.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)

                                             = 72 units²

3.  Count the number of shaded squares:

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²

Sara and her friends are enjoying a bag of candy-coated chocolates. Just for fun, they remove 80 pieces of candy from the bag to check their color. The outcomes are shown in the table.
Candy Color Number of Candies
brown or orange 25
green or yellow 28
red or blue 27

Which statement is true based on the results in the table?

A.
All of the outcomes are equally likely because their relative frequencies are similar.
B.
All of the outcomes are equally likely because the relative frequency of picking brown or orange candies is greater than that of picking green or yellow.
C.
All of the outcomes are not equally likely because there is a lot of variation in their relative frequencies.
D.
All of the outcomes are not equally likely because the relative frequency of picking green or yellow candies is the highest.
E.
All of the outcomes are not equally likely because the relative frequency of picking red or blue candies is less than that of picking green or yellow.

Answers

Answer:

A

Step-by-step explanation:

There doesn't appear to be any particular color that has several more than the other choices.

Answer:

Option E

Step-by-step explanation:

If she picked them randomly than the 80 she picked are a pretty good representation of the candies in the bag, we know that there are different amounts of each candy based on Sara's numbers. According to her results, there are more green or yellow candies than brown or orange so the odds are there are more green or yellow candies in the bag. Since there are different numbers of each candy, the odds of her picking a certain color is different than the others, so the outcomes are not equally likely. The answeres can now be C,D, or E. I think it's option E because to me it seems like the most accurate of the three.

12 ounces for
$
8.09

dollars per ounce

ounces per dollar.

Answers

1.5$ per ounce :)))))

Cool scoops ice cream shop offers 60 different one topping sundaes. If there are different flavors of ice cream toppings and containers to hold the ice cream which of the following would not be the possible number of each category?

Answers

Answer:

I'm so confused. I don't get the question. I know the options are:

A) 3,4, 5

B) 2, 10, 4

C) 2, 10, 3

D) 2, 15, 2

but I don't understand the question. Could you maybe be a bit more specific?

PLEASE ANSWER THIS ASAP IT'S DUE IN 5 MINUTES!!!!

1. The rule for an arithmetic sequence is: __________?
2. The rule for a geometric sequence is: __________?

Answers

Answer:

an = a1 + d (n - 1)

aⁿ = a₁ˣ⁻1

Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)

Just answer part B please! :)​

Answers

Answer:

nonlinear

Step-by-step explanation:

Part B: nonlinear

The radius increases so the line is an arc going upwards not a linear line.

In other words, not a straight line.

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x = 6

Step-by-step explanation:

We know that the angles in a triangle add to 180°, so we can add the angles shown in this triangle together, make them equal to 180° and solve for x.

90° + (4x + 3)° + 63° = 180°

90° + 4x° + 3° + 63° = 180°

4x° + 156° = 180°

4x° = 24°

x = 6

So, x = 6. Hopefully, this helped! If you have any further questions, let me know.

Consider the diagram.

Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q at point T. Line l also contains point S. Line segment R S is 3 x + 2. Line segment S Q is 5 x minus 8.

What is QS?

2 units.
5 units.
17 units.
33 units.

Answers

Answer:

A on edge

Step-by-step explanation:

:)

A triangle is a three-edged polygon with three vertices. The length of QS is equal to 17 units.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Given that the Line l is a perpendicular bisector of line segment RQ and bisects it at point T. Therefore, the length of the two lines is,

RT = QT

Now, in ΔRST and ΔQST,

RT ≅ QT

ST ≅ ST {Common side}

Now, since the two triangles are the right-angled triangle, therefore, the two triangles are congruent. Thus, we can write,

RS = SQ

Given that the Line segment, RS is 3x+2. Line segment SQ is 5x-8.

RS = SQ

3x + 2 = 5x - 8

2 + 8 = 5x - 3x

10 = 2x

x = 5

QS = 5x - 8

     = 5(5) - 8

     = 25 - 8

     = 17 units

Hence, the length of QS is equal to 17 units.

Learn more about Triangle here:

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Find the absolute maximum and minimum, if either exists, for the function on the indicated interval. f (x) = x^4 + 4x^3 - 10 [-2, 2] [-4, 0] [-2, 1] Find the absolute maximum. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. The absolute maximum, which occurs twice, is at x = and x =. (Use ascending order.) The absolute maximum is at x =. There is no absolute maximum.

Answers

Answer:

d/dx x^4 + 4x^3 - 10

4x^3 + 12x^2

4x^3 + 12x^2 = 0

x = 0, -3

plug in x if you want the value

Evaluate, show your steps tysm :)
~giving brainliest~

Answers

Answer:

-9/25

Step-by-step explanation:

-1^10 = -1

since (-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1) = -1

Anything to the power of 0 is 1 so -22^0 = 1

Now our equation is -1 + 1 -(3/5)^2

Simplifying this:

0 -9/25 =

-9/25

Answer:

in fraction: 41/25

= 1.64

Step-by-step explanation:

[tex](-1)^{10} =1[/tex]

[tex](-22)^{0} =1[/tex]

[tex](\frac{3}{5} )^{2} =\frac{9}{25}[/tex]

Then

[tex]1+1-\frac{9}{25} =2-\frac{9}{25} =\frac{50}{25} -\frac{9}{25} =\frac{41}{25}[/tex]

decimal: 1.64

Hope this helps

What is the initial value & rate of change of the table

Weeks. Dollars
0. 10
2 20
4 30
6 40

Answers

Answer:

y = 10

rate of change = 5

Step-by-step explanation:

The initial value is the beginning output value, i.e. the y-value when x = 0

Therefore, the initial value is y = 10

rate of change = change in y ÷ change in x

⇒ rate of change = (40 - 30) ÷ (6 - 4)

                            = 10 ÷ 2

                            = 5

take two points : (0, 10), (2, 20)

rate of change:

[tex]\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{20-10}{2-0}[/tex]

[tex]\rightarrow \sf 5[/tex]

equation :

y - 10 = 5 ( x - 0 )

y = 5(x) + 10

so initial value:

y = 5(0) + 10

y = 10

It takes 54 pounds of seed to completely plant a 7-acre field
How many acres can be planted per pound of seed?

Answers

Answer:

The answer would be 7.7

Step-by-step explanation:

Because 54/7= 7.7

you get 7.7 by dividing which is the unit rate

Write the product as a product of a whole number and a unit fraction
3 * 3/8

Answers

Answer:

9/8 or 1 1/8

Step-by-step explanation:

3*3/8

3/1*3/8

numerator times numerator and denominator times denominator:

3×3/1*8 = 9/8 or 1 1/8

What is the distance between -15 and 15 on a number line? *

Answers

30… The distance from -15 to 0 is 15 and the distance of 0 to 15 is 15. 15+15=30.

Answer:

30

Step-by-step explanation:

The distance between 2 points on a number line uses the following equation:

point2 - point1.

In this case we get 15 - (-15) which equals 30.

100 Points and Brainliest.
Write an equation that represents the line.
Use exact numbers.

Inserting gibberish or an absurd answer that isn't applicable will be reported and removed.

Answers

Answer:

See below ↓

Step-by-step explanation:

We have a graph given to us.

⇒ Take the points to form an equation!

The points

(4, 6)(-2, 1)

Making an equation

Find the slopem = 1 - 6 / -2 - 4m = -5 / -6m = 5/6

Take one of the two points and substitute in the equation :⇒ y - y₁ = m (x - x₁)⇒ y - 6 = 5/6 (x - 4)⇒ y - 6 = 5x/6 - 10/3⇒ y = 5x/6 + 8/3⇒ or 6y = 5x + 16

Take two points

(-2,1)(4,6)

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{6-1}{4+2}=\dfrac{5}{6}[/tex]

Equation in point slope form

[tex]\\ \rm\rightarrowtail y-1=5/6(x+2)[/tex]

[tex]\\ \rm\rightarrowtail 6y-6=5x+10[/tex]

[tex]\\ \rm\rightarrowtail 6y=5x+16[/tex]

[tex]\\ \rm\rightarrowtail y=5/6x+8/3[/tex]

Write an equation for the graph below in terms of x
Y=

Answers

Y= -3/2x - 1
Because the slope is rise 3 run 2 and the y-intercept is -1

Pam kicked a soccer ball down the field. Part of the ball's path, including its highest
point, is described by the function below, where f(x) is the height of the ball in feet.
According to the function, what is the ball's maximum height, in feet? (Use only the
digits 0-9 to enter the height.)
f(x) =
12x2+2x

Answers

Answer:

maximum height is 45/4 in feet

The maximum height of the ball is 45/4 in feet

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given tha Pam kicked a soccer ball down the field. Part of the ball's path, including its highest point, is described by the function below, where f(x) is the height of the ball in feet.

F(x)= 12x^2+2x        

Thus for this quadratic , the max value will occur at x= -b/2a

=  - 2 / (2 x 1/12) = -12

Plug in -12 to find the max height

= (-12)^2 + 2 x-12

=  45/4 in feet

Learn more about the unitary method, please visit the link given below;

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Help picture below problem 9

Answers

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

And,

∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )

135° + ∠6 = 180°

∠6 = 180° - 135°

∠6 = 45°

Now,

we see that ∠6 and ∠5 are making a linear pair of angles, and we know that angles in a linear pair measure 180° Thus,

∠5 + 45° = 180°

∠5 = 180° - 45°

∠5 = 135°

Thus, the value of angle 5 is 135°

Hope that helps. :)

Determine the value of y, if x is -1. y= | x |-4

Answers

y=|-1|-4
The absolute value of -1 is 1
y=1-4
y=-3
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