If y varies directly as x, and x = 4 when y = 20, find y when x = 18.

Answers

Answer 1

Step-by-step explanation:

y=Kx

20=4k

k=5

when x=18

y=18 x 5

y=90


Related Questions

For this exercise assume that the matrices are all nn. The statement in this exercise is an implication of the form​ "If "statement​ 1", then​ "statement 2"." Mark an implication as True if the truth of​ "statement 2" always follows whenever​ "statement 1" happens to be true. Mark the implication as False if​ "statement 2" is false but​ "statement 1" is true. Justify your answer.

If there is an n x n matrix D such that Ax =0​, then there is also an nxn matrix C such that CAI.

a. True
b. False

Answers

Answer:

A) True

Hope this helps!

Researchers study the relationship between interpersonal violence and health in college age women. The researchers report an OR for somatic symptoms among abused versus non abused women (OR 1.03 95% CI 0.79-1.71). Based on this information, you know:_________-

a. Abused women are significantly more likely to have somatic symptoms.
b. There is no significant difference in somatic symptoms for abused and non-abused women.
c. This is a clinically significant result.
d. In this study women who were abused were less likely to report somatic symptoms.

Answers

Answer:

There is no significant difference in somatic symptoms for abused and non-abused women. ( B )

Step-by-step explanation:

Given that OR = 1   simply shows that there is no difference in data for both groups

and 95% of Cl for the variable OR  = ( 0.79 - 1.71 )

given the relationship between Cl and OR we can conclude that Cl is inclusive in the value OR = 1

Finally : we can conclude that There is no significant difference in somatic symptoms for abused and non-abused women

Use differentials to approximate the change in cost corresponding to an increase in sales (or production) of one unit. Then compare this with the actual change in cost.

Function x-Value
C=0.025x^2 + 3x + 4 x=10

dC= ___________
ΔC= __________

Answers

Answer:

dC=3.5

DC is between 3.475 and 3.525

Step-by-step explanation:

So let dx=1 since the change there is a change in 1 unit.

Find dC/dx by differentiating the expression named C.

dC/dx=0.05x+3

So dC=(0.05x+3) dx

Plug in x=10 and dx=1:

dC=(0.05×10+3)(1)

dC=(0.5+3)

dC=3.5

Let D be the change in cost-the triangle thing.

Since dx=1 we only want the change in unit to be within 1 in difference.

So this means we want it to be from x=9 to x=1] ot from x=10 to x=11.

Let's do from x=9 to x=10 first:

DC=C(10)-C(9)

DC=[0.025×10^2+3×10+4]-[0.025×9^2+3×9+4]

DC=[2.5+30+4]-[0.025×81+27+4]

DC=[36.5]-[2.025+31]

DC=[36.5]-[33.025]

DC=3.475

Now let's do from x=10 to x=11

DC=[0.025×11^2+3×11+4]-[0.025×10^2+3×10+4]

DC=[0.025×121+33+4]-[36.5]

DC=[3.025+37]-[36.5]

DC=[40.025]-[36.5]

DC=3.525

So DC, the change in cost where the change in unit is 1, is between 3.475 and 3.525.

You need to solve a system of equations. You decide to use the elimination method. Which of these is not allowed? 2x - 3y = 12
-x + 2y = 13
O A. Multiply the left side of equation 2 by 2. Then subtract the result from equation 1.
O B. Multiply equation 1 by 2 and equation 2 by 3. Then add the new equations.
C. Multiply equation 2 by-2. Then add the result to equation 1. ​

Answers

Answer:

A.

Step-by-step explanation:

The Elimination Method is the method for solving a pair of linear equations which reduces one equation to one that has only a single variable.

If the coefficients of one variable are opposites, you add the equations to eliminate a variable, and then solve.

If the coefficients are not opposites, then we multiply one or both equations by a number to create opposite coefficients, and then add the equations to eliminate a variable and solve.

When multiplying the equation by a coefficient, we multiply both sides of the equation (multiplying both sides of the equation by some nonzero number does not change the solution).

So, option B is not allowed (it is not allowed to multiply only one part of the equation)

What is the slope formula?

Answers

Answer:

D is your answer

Step-by-step explanation:

Answer:

Here the slope formula m = ( y 2 − y 1 )/( x 2 -x 1 ) = Δy/Δx

Step-by-step explanation:

Find the perimeter of the quadrilateral in simplest form A quadrilateral has side lengths of 2 StartRoot 27 EndRoot inches, StartRoot 12 EndRoot inches, 3 StartRoot 3 EndRoot inches, 2 StartRoot 12 EndRoot inches.

Answers

Answer: c on edge

Step-by-step explanation:

just finished

Answer:

112.5 inches

Step-by-step explanation:

Which table repsents a linear function?​

Answers

Answer:

Option 3

Step-by-step explanation:

Exclude option 1: a linear function will not have a repeated y coordinate

Exclude option 2: the y coordinate is - 3, - 4, - 5, gradually increasing. Thus the line is a curve, not linear function

Option 3: - 8 is the change in every y coordinate. The line is linear because the slope is constant

Exclude option 4: the difference of y coordinate is becoming greater and greater, thus the line is a curve. Not an linear function.

Brainliest please~

Answer quick please.

Answers

Answer

The Answer is A C D

Step-by-step explanation:

Help? Thanks!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

You can't really show work for this, but it's A because the angles are opposite each other.

Using the net below, find the surface area of the pyramid. (in the image) 2in 3in 3in​

Answers

Answer:

Surface area = 21 in.²

Step-by-step explanation:

Surface area of the pyramid = sum of all areas of the faces or parts of the net = 4(area of triangle) + area of square base

✔️Area of the four triangles:

A = 4(½*b*h)

Where,

b = 3 in.

h = 2 in.

A = 4(½*3*2)

A = 2*3*2

A = 12 in.²

✔️Area of the square base = s²

s = 3 in.

Area = 3² = 9 in.²

✅Surface area of the pyramid = 12 + 9 = 21 in.²

HELP!!!!!!!!
Determine if the function f is an exponential function. If so, identify the base. If not, why not?


f(x) = ex



A) The base is x.



B) The base is e.



C) This is a polynomial.



D) This is not an exponential function because the variable is in the exponent position.

Answers

Answer:

assuming that the equation was [tex]f(x) = e^{x}[/tex]

then the base is "e"

Step-by-step explanation:

The diameter of a circle is inches what is the area?

Answers

Answer:

Pie( r ^2)

Step-by-step explanation:

Here value of r is in inches

The stopping distance on wet pavement at 20mph is about 60feet. The stopping distance at 30mph is 120feet. What would you estimate the stopping distance is at 40mph? Construct a formula

Answers

Answer:

[tex]y = 6x - 60[/tex] --- formula

The stopping distance at 40mph is 180ft

Step-by-step explanation:

Given

[tex](x,y) = (20,60)[/tex]

[tex](x,y) = (30,120)[/tex]

Solving (a): Construct a formula

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{120 - 60}{30-20}[/tex]

[tex]m = \frac{60}{10}[/tex]

[tex]m=6[/tex]

So, the equation is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 6(x - 20) + 60[/tex]

Open bracket

[tex]y = 6x - 120 + 60[/tex]

[tex]y = 6x - 60[/tex]

Hence, the formula to use is: [tex]y = 6x - 60[/tex]

Solving (b): y, when x = 40

[tex]y = 6x - 60[/tex]

[tex]y = 6 * 40 - 60[/tex]

[tex]y = 180[/tex]

Someone help me?????

Answers

Step-by-step explanation:

4. b 612 (72/100) x 850)

5. c. 275 (33/100) x 835

6. b. 39% (3.24 - 2.85) x100%)

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x=tcost, y=tsint, t=π

Answers

Step-by-step explanation:

the answer is in the image above

Didi invested a total of $16125 in two accounts paying 8.5% and 4% simple interest. If her total return at the end of 2 years was 1740 , how much did she invest in each account?

Answers

Answer:

5000 ;

11125

Step-by-step explanation:

Given :

Total principal = 16125

Rates = 8.5% and 4%

Period, t = 2 years

Total interest = 1740

Let :

Principal amount invested at 8.5% = x

Principal amount invested at 4% = 16125 - x

Interest formula :

Interest = principal * rate * time

Hence, mathematically ;

(x * 8.5% * 2) + [(16125 - x) * 4% * 2] = 1740

(0.17x + 1290 - 0.08x ) = 1740

0.09x + 1290 = 1740

0.09x = 1740 - 1290

0.09x = 450

x = 450 / 0.09

x = 5000

Amount invested at 4% :

16125 - 5000 = 11125

Solve the following quadratic equation. Express your answers in exact form.
g(x) = -3x^2 + 4x + 2

Answers

Answer:

x = (2+√10)/ 3 and x= (2-√10/3)

Step-by-step explanation:

g(x) = -3x² +4x +2

use the quadratic formula x= (-b±√b²-4ac)/2a, when g(x) = ax² +bx +c

x= [-4 ±√4²-4*(-3)*2] / 2*(-3) , solve under the square root

x= (-4 ± √16 +24) / -6 , add under the radical

x= (-4 ±√40) / -6, simplify the square root

x= (-4 ±2√10) /-6, factor -2

x= -2 (2±√10)/-2 *3, simplify -2

x= (2±√10)/3

Therefore,

x = (2+√10)/ 3 and x= (2-√10/3)

The longest leg is Select one:

a. 5√3

b. 10√3

c. 5

d. 20

Answers

Answer:

D:20

sqrt(3) is less than 2 thus 10*sqrt(3) is less than 20

Step-by-step explanation:

Avi uses 11 toothpicks to form a row of 5 attached triangles, as shown. Suppose he continues this pattern, using 89 toothpicks in all. What is the total number of triangles formed? (sorry the picture wasn't uplodaing)

Answers

Answer:

44

Step-by-step explanation:

Given that Avi used 11 toothpicks to form a row of 5 attached triangles.

Total number of toothpicks used = 89

Let the total number of triangles formed be represented by x, so that:

11 toothpicks = 5 triangles

It would be observed that only the first triangle starting the pattern has 3 toothpicks. So that;

the average number of toothpicks for 1 triangle = [tex]\frac{11}{5}[/tex]

                                  = 2.2

The number of toothpicks per triangle = 2.0

Thus,

x = [tex]\frac{89}{2.0}[/tex]

  = 44.5

x = 44

The total number of triangles formed is 44.

Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 41, with a standard deviation of 28. A pollster draws a sample of 92
people to interview.

Answers

Answer:

By the Central Limit Theorem, the distribution of the sample means is approximately normal with mean 41 and standard deviation 2.92, in thousands of dollars.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 41, standard deviation of 28:

This means that [tex]\mu = 41, \sigma = 28[/tex]

Sample of 92:

This means that [tex]n = 92, s = \frac{28}{\sqrt{92}} = 2.92[/tex]

Distribution of the sample means:

By the Central Limit Theorem, the distribution of the sample means is approximately normal with mean 41 and standard deviation 2.92, in thousands of dollars.

What is the domain of the relation described by the set of ordered pairs (-2,8), (-1,1) (0,0) (3,5), (4,-2)?

Answers

Step-by-step explanation:

(-2,-1,0,3,4) are the domain

(x,y)=(domain,range)

simply x components are the domain whereas y components are the range

Evaluate f (5)
f(5) =

Answers

Answer:

100

Step-by-step explanation:

f(5) means find the output value when x=5

When x =5 f(x) = 100

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

100

Explanation:-

we have to find the value of f(5)

But in the questions attachment it tells that

f(5)=100

find the exact value of tan -75​

Answers

the exact value of tan -75 can be found by finding the coterminal angle (285) and taking the tangent of that

A Series (Or Infinite Series) is obtained from a sequence by adding the terms of the sequence.

a. True
b. False

Answers

Answer:

a. True

Step-by-step explanation:

A series in the field of mathematics is defined as the operation of adding up or summation of infinitely many quantities of terms of a sequence.  In other words, it is the sum of the terms of the sequence provided.

Another way of defining a 'series' is it is list of numbers with the "addition" operations between the numbers.

Thus the answer is (a). True

Which graph represents the function f (x) = StartFraction 5 minus 5 x squared Over x squared EndFraction? On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens up and to the left in quadrant 2. On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens up and to the left in quadrants 2 and 3. On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 2, and the other curve opens up and to the left in quadrant 3. On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrants 3 and 4.

Answers

9514 1404 393

Answer:

2. On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens up and to the left in quadrants 2 and 3

Step-by-step explanation:

Technically, the curve is not a hyperbola. A hyperbola is of the form 1/x; this one is of the form 1/x².

The function can be simplified to ...

  f(x) = 5/x² -5

which is a "hyperbola" with a vertical asymptote at x=0 and a vertical translation of -5 units to bring parts of it into the 3rd and 4th quadrants.

What is the area of a triangle with a base of 9 units and a height of 7 units? O A. 15.75 sq. units O B. 126 sq. units O c. 63 sq. units O D. 31.5 sq. units SUBMIT வன் PREVIOUS​

Answers

Answer:

D. 31.5 sq. units

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 ( 9)(7)

A = 63/2

A = 31.5 units^2

Step-by-step explanation:

For this, we'll use a formula for the area of a triangle.

Area (A) = ( Base (B) * Height (H) ) / 2

[tex]A = (B * H )/2[/tex]

Plug in given values.

[tex]A = (9*7)/2[/tex]

Multiply within parentheses.

[tex]A = (63)/2[/tex]

Divide by 2.

[tex]A = 31.5[/tex]

Answer:

D. 31.5 sq. units

ms.+sanchez+bought+3+pounds+of+turkey+to+make+sandwiches+for+her+family+.+She+uses+.25+of+a+pound+for+each+sandwich+.+How+many+sandwiches+can+she+make+?

Answers

Answer:

she can make 12 sandwiches

Step-by-step explanation:

3/.25 is the solution

first to answer gets brainiest
What is the volume of the prism?



Enter your answer in the box as a mixed number in simplest form.
cm³

Answers

Answer:

V = 67 1/2 cm^3

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 4 1/2 * 6 * 2 1/2

Changing to improper fractions

V = 9/2 *6*5/2

V =270/4

V = 135/2

Changing to a mixed number

V = 67 1/2 cm^3

How do you know if a radical can be simplified? Explain.

Answers

Answer:

An expression is considered simplified only if there is no radical sign in the denominator. If we do have a radical sign, we have to rationalize the denominator . This is achieved by multiplying both the numerator and denominator by the radical in the denominator.

what is the average speed for the interval t=1 hour to t=3 hours

Answers

Answer:

7.5 miles per hour

Step-by-step explanation:

Average speed over the interval [1, 3] = (distance at 3 hrs -distance at 1 hr)/(3 hrs - 1 hr)

From the graph:

Distance at 3 hrs = 30 => (3, 30)

Distance at 1 hr = 15 => (1, 15)

Average speed = (30 - 15)/(3 - 1)

Average speed = 15/2

= 7.5

Therefore, average speed = 7.5 miles per hour

Other Questions
Given that h(x) = - (x - 1)^2 - 1, write an expression for f(x) in terms of x. f(x) = Which best illustrates the result of the process of meiosis?A pea plant has the same flower color as its parent plants.A daughter looks different from both her mother and her father.A cheetah cub has very similar fur to its mother.A Labrador puppy looks exactly like its father. If MN = 5, NO = 13, then LM = (Blank 1). (Round your answer to one decimal place, as necessary.) porfa el que responda bien le doy coronita Stephen is a graduate student at West University. He works part-time at the campus coffee shop earning $5,000 this year. Stephen also receives a $25,000 scholarship that pays for his tuition, fees, and books. What amount does Stephen include in his gross income What happened to theUS economy in the1970s, after 25 yearsof broad economicexpansion? A rotation or turn always moves clockwise and never counterclockwise.TrueFalse How do i work out the area of a circle that equals 5000 One side length of a rectangle is 1/3 of a foot. The second length is 1 2/3 times the length of the first. Find the area of the rectangle. If the hydrogen ion concentration, (H+), in a solution is 5.39 x 10-8 M,what is [OH-]?A.1.86 x 1021 MB. 1.86 x 10-7 M Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent A scientist makes a discovery that suggests a hominid species created and used relatively sophisticated tools. The scientist decided to publish his findings. Which of the following sources would be regarded as the most reliable? 1) what does regional employment means?2) what does apprenticeship? 3 what is annex program? 4 what is vocational education?5 write the types of soft skill training? What are the 4 similarities of CUI and GUI Who sets the amount or rate of real estate commissions? a small object is placed between two plane mirrors inclined at an angle of 60 to each other in a dark room how many images are seen explain For which of the following intervals is the graph decreasing?O A. -2OB.-4C. -8 < X what are the major activities and services of the Nepal Red Cross Society The ABC Company is going to be incorporated in the form of a private company. As a promoter, Minh signed a contract with an Equipment provider. Before incorporation, ABC Corporation paid half of the contract via bank account. After incorporation, the company ABC transferred a third of the contract to the Equipment providers bank account, then stopped paying. Does Minh have to pay the remaining of the contract? HELP ME ! A paragraph is defined as group of sentences that center on a A. Central idea B. set of statistics C , Number of supporting ideas D. controversial topic