A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?

Answer:

y-7= 6(x-0)

Step-by-step explanation:

y-y1=m(x-x1) is the point slope form. The slope is substituted by the m while (x1,y1) are any coordinate on the plane. As you already have to coordinates (0,7) and the slope of 6 substitute it into the equation, to get y-7=6(x-0). Hope this helps!

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

(7*6 - 4^2)+4 = (42 - 16) + 4 = 26 + 4 = 30

Answer:

[tex] \frac{2}{1 } = \frac{t}{7}[/tex]

I crossed multiplied

t1=7×2

t1=14

t= 14÷1

t=14

I am not sure

Answer:

y = 8

Step-by-step explanation:

First substitute x with 6 in the equation

2y + 1/3(6) = 18

Multiple 1/3 with 6, which is 2

2y + 2 = 18

Solve the equation by subtracting 2 from both sides

2y + 2 = 18

    - 2     - 2

You get 2y = 16, so you divide 2 frm both sides

You get y = 8

Answer:

a

Step-by-step explanation:

Answer:

126 degrees

Step-by-step explanation:

The sum of adjacent side of the rectangle is 180 degrees

Hence <1 + <4 = 180 degrees

Given

<4 = 54 degrees

<1 = 180 - <4

<1 = 180 - 54

<1 = 126degrees

Hence the value of <1 is 126 degrees

Answer:

$5

Step-by-step explanation:

Answer:

y = 340e^0.0427276t ; 908

Step-by-step explanation:

Given that :

t = time in days since study began

Number of bacteria after 11 days = 544

y = number of bacteria at time t

Exponential growth model:

y = ae^rt

Where a = initial amount ; r = Growth rate

y = 544 ; t = 11 ; a = 340

544 = 340*e^11t

544/340 = e^11t

1.6 = e^11t

Take the In of both sides

In(1.6) = 11t

0.4700036 = 11t

t = 0.4700036 / 11

t = 0.0427276

y = 340e^0.0427276t

Number of bacteria after 23 days :

Using the formula above :

t = 23

y = 340e^0.0427276(23)

y = 340 * 2.6717529

y = 908.39600

y = 908

The required formula is [tex]y = 340e^{0.0427}[/tex]

908 bacteria are there 23 days after the beginning of the study .

Given that,

A certain culture of bacteria has a population of 340.

The population grows according to a continuous exponential growth model. After 11 days, there are 544 bacteria.

We have to find,

Write a formula relating y tot. Use exact expressions to fill in the missing parts of the formula.

How many bacteria are there 23 days after the beginning of the study.

According to the question,

And let y be the number of bacteria at time,

t = time in days since study began

Number of bacteria after 11 days = 544

y = number of bacteria at time t

Then,

Exponential growth model:

[tex]y = a.e^{rt}[/tex]

Where, a = initial amount ; r = Growth rate

y = 544 ; t = 11 ; a = 340

Then,

[tex]544 = 340.e^{11t}\\\\\dfrac{544}{340} = e^{11t}\\\\1.6 = e^{11t}\\\\Taking \ log \ on \ both \ sides,\\\\ln(1.6) = 11t\\\\0.47 = 11t \\\\t = \dfrac{0.47}{11}\\\\t = 0.0427[/tex]

The required formula is [tex]y = 340e^{0.0427}[/tex]

[tex]y = 340e^{0.0427}[/tex]

Where, t = 23

[tex]y = 340e^{0.0427276(23)}\\\\y = 340 \times 2.6717529\\\\y = 908.39600\\\\y = 908[/tex]

Therefore, 908 bacteria are there 23 days after the beginning of the study .

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Answer:

x > 17

Step-by-step explanation:

Add 8 to both sides:

6x - 8 > 4x + 26

6x > 4x + 34

Subtract 4x from both sides:

2x > 34

Divide each side by 2:

x > 17

So, the solution is x > 17

⇢ 6x - 8 > 4x + 26

⇢ 6x > 4x + 26 + 8

⇢ 6x > 4x + 34

⇢ 6x - 4x > 34

⇢ 2x > 34

⇢ x > 34/2

⇢ x > 17

Hence, solution is x > 17.

Answer:

Solving Two-Step Equations

1) First, add or subtract both sides of the linear equation by the same number.

2) Secondly, multiply or divide both sides of the linear equation by the same number.

3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable

Answer:pisś

Step-by-step explanation: shît

9514 1404 393

Answer:

  m∠A = 81 9/11°

  m∠P = 98 2/11°

Step-by-step explanation:

Supplementary angles have a total of 180°, so we have ...

  m∠A +m∠P = 180°

  2/3x° +4/5x° = 180°

  22/15x° = 180°

  x = 122 8/11 . . . . . . multiply by 15/22

Then the angles are ...

  m∠A = (2/3)(122 8/11)°

  m∠A = 81 9/11°

  m∠P = (4/5)(122 8/11)°

  m∠P = 98 2/11°

_____

Alternate solution

The fraction of 180° that is ∠A is ...

  (2/3x°)/(2/3x° +4/5x°) = (10/15)/(10/15 +12/15) = 10/22 = 5/11

  m∠A = (5/11)(180°) = 81 9/11°

  m∠P = 180° -m∠A = 98 2/11°

Answer:

m∡A = 81.8°

m∡P = 98.2°

Step-by-step explanation:

2/3x + 4/5x = 180

multiply each side by 15 to eliminate fractions

10x + 12x = 2700

22x = 2700

x = 122.7

∡A = 2/3 (122.7) = 81.8

∡P = 4/5 (122.7) = 98.2

Answer:

c edge 2021;)

Step-by-step explanation:

*Time is the X value on the horizontal axis. There are two data series for the Y values: Actual temperatures and and predicted temperatures.*

Answer:

h = $1.50

d = $1.25

Step-by-step explanation:

$1.50 + $1.50 = $3 + $1.25 = $4.25

$1.50 + $1.50 + $1.50 = $4.50 + $1.25 + $1.25 = $7

Answer:

2h + 1d = 4.25

3h + 2d = 7.00

Step-by-step explanation:

-3(2h + 1d) = -3(4.25)

2 (3h + 2d) = 2(7.00)

-6h - 3d = -12.25

6h + 4d = 14

if we add them together we get D = 1.75

Checking:

2h + 1(1.75) = 4.25

2h + 1.75 = 4.25

2h = 2.5

h = 1.25

1.25 times 2 plus 1.75 = 4.25

Answer:

4x + 3y = -5

x = −3 /4 y +  −5 /4

y = −4 /3 x +  −5 /3

-2x+2y = 6

x = y - 3

y = x + 3

Step-by-step explanation:

Solving for x

4x + 3y = -5

4x + 3y + −3y = −5 + −3y

4x = −3y − 5

Then you will divide both sides by 4.

4x /4  =  −3y − 5 /4

x=  −3 /4 y +  −5 /4

Solving for y

4x + 3y + −4x = −5 + −4x

3y = −4x −5

Then you will divide both sides by 3.

3y /3  =  −4x −5 /3

y =  −4 /3 x +  −5 /3

-2x + 2y = 6

Solving for x

−2x+2y+−2y=6+−2y

−2x = −2y + 6

Then you will divide both sides by -2.

−2x/ −2  =  −2y + 6/ −2

x = y − 3

Solving for y

−2x + 2y + 2x = 6 + 2x

2y = 2x + 6

Then you will divide both sides by 2.

2y /2  =  2x + 6 /2

y = x + 3

The required length of FH is obtained as 64.68.

Two triangles are said to be similar when either the ratio of their corresponding sides are equal or all the corresponding angles are equal.

Two similar triangles are the same in shape but not in size.

The given diagram shows two similar triangles as ΔFGH and ΔKJH.

Since the ratios of the corresponding sides of the two triangles are equal, the following equation can be written for the given case as,

(x + 8)/32 = (4x - 25)/52

=> 52(x + 8) = 32(4x - 25)

=> 52x - 128x = -32 × 25 - 52 × 8

=> -76x = -1716

=> x = 22.42

Thus FH = 4x - 25 = 4 × 22.42 - 25 = 64.68

Hence, the length of FH for the given case is 64.68.

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Answer:

A

Step-by-step explanation:

idc

Question:

Consider a cookie recipe in which 1 1/2 cups of chocolate chips are needed to make 25 cookies. Lara wants to double the number of cookies. How many cups of chocolate chips should she use?

Answer:

[tex]Cups = 3[/tex]

Step-by-step explanation:

Given

[tex]Cups = 1\frac{1}{2}[/tex]

[tex]Cookies = 25[/tex]

Required

Number of cups when the cookies is doubled

When [tex]Cookies = 25[/tex], [tex]Cups = 1\frac{1}{2}[/tex]

So, when the number of cookies is doubled, the number of cups will also be doubled.

i.e.

[tex]Cookies = 25*2[/tex]

[tex]Cookies = 50[/tex]

and

[tex]Cups = 1\frac{1}{2} * 2[/tex]

Convert to improper fraction

[tex]Cups = \frac{3}{2} * 2[/tex]

[tex]Cups = \frac{3* 2}{2}[/tex]

[tex]Cups = \frac{6}{2}[/tex]

[tex]Cups = 3[/tex]

i.e. 3 cups are needed

Answer:

x=18.7

Step-by-step explanation:

x+17+5x+10+4x-34=180

10x-7=180

10x=187

x=18.7

all angles in a trianlge add up to 180 degrees

Answer:

x = 17

Step-by-step explanation:

Since all angles of a triangle equal to 180 we can make this equation:

x + 17 + 6x + 10 + 4x - 34 = 180

11x - 7 = 180

11x = 187

x = 17

Answer:

90, 45

Step-by-step explanation:

0.3x = 27

x = 90

50% of 90 = 45

Answer:

The rate of change, I believe, based on what you have given us in terms of information, would be 2.5. Because Jasper would eat 2.5 tacos per minute; thus, the rate would increase by 2.5 each time.

And for the second part, you would simply multiply 2.5 by 9 to get 22.5. Jasper would eat 22.5 tacos in 9 minutes.

Step-by-step explanation:

Answer:

[tex]\Large \boxed{-3, \ 5,\ 13,\ 21}[/tex]

Step-by-step explanation:

A function is given

[tex]f\left(x\right)=4x+1[/tex]

Plug values of x and evaluate

[tex]f\left(x\right)=4\left(-1\right)+1=-3[/tex]

[tex]f\left(x\right)=4\left(1\right)+1=5[/tex]

[tex]f\left(x\right)=4\left(3\right)+1=13[/tex]

[tex]f\left(x\right)=4\left(5\right)+1=21[/tex]

Answer:

Solution given:

f(x)=4x+1

f(-1)=-4+1=-3

f(1)=3+1=5

f(3)=4×3+1=13

f(5)=4×5+1=21

Answer: 1

Step-by-step explanation: 3/8 = 24      5/4= 20

Answer:

Negative

Step-by-step explanation:

Bevause negative times positive is negative

Answer:

Negative

Step-by-step explanation:

(−3)(2))(15)

=(−6)(15)

= −90

so it's negative 90 hopefully this helps

Answer:

x = (-9)/5

Step-by-step explanation:

Solve for x:

(-2 x)/9 = 2/5

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (-2 x)/9 = 2/5 by -9/2:

(-9 (-2) x)/(2×9) = (-9)/2×2/5

Hint: | Express (-9)/2×(-2)/9 as a single fraction.

(-9)/2×(-2)/9 = (-9 (-2))/(2×9):

(-9 (-2))/(2×9) x = (-9)/2×2/5

Hint: | Express (-9)/2×2/5 as a single fraction.

(-9)/2×2/5 = (-9×2)/(2×5):

(-9 (-2) x)/(2×9) = (-9×2)/(2×5)

Hint: | In (-9 (-2) x)/(2×9), divide -9 in the numerator by 9 in the denominator.

(-9)/9 = (9 (-1))/9 = -1:

(-2-1 x)/2 = (-9×2)/(2×5)

Hint: | In (-(-2) x)/2, divide -2 in the numerator by 2 in the denominator.

(-2)/2 = (2 (-1))/2 = -1:

--1 x = (-9×2)/(2×5)

Hint: | Multiply all instances of -1 in -(-x).

(-1)^2 = 1:

x = (-9×2)/(2×5)

Hint: | Cancel common terms in the numerator and denominator of (-9×2)/(2×5).

(-9×2)/(2×5) = 2/2×(-9)/5 = (-9)/5:

Answer: x = (-9)/5

Answer:

[tex] \frac{ - 2}{9} x = \frac{2}{5} \\ x = \frac{2}{5} \times \frac{9}{(- 2)} \\ \boxed{x = \frac{(-9)}{5}}✓[/tex]

Answer: likely

Step-by-step explanation:

Answer:

45.5

Step-by-step explanation:

You do the linear length multiplied by the longitudinal length

The distance across the lake is 320 ft.

Given is a scenario of a lake, a survey crew has laid out the concept of similar triangles to find the distance across the lake.

The figure shows the base of the larger triangles is the distance across the lake. [please refer to the figure attached]

The dimensions of the imaginary triangles are 30 ft, 30 ft, 40 ft and 240 ft, 240 ft, x ft.

Here, x is the distance across the lake which we are asked to find.

Using the definition of the similar triangles,

Two triangles are considered similar if their corresponding angles are equal, and the ratios of the lengths of their corresponding sides are equal.

So,

[tex]\frac{240}{30} = \frac{x}{40}[/tex]

[tex]x = \frac{240 \times 40}{30}[/tex]

x = 320

Hence the distance across the lake is 320 ft.

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