what is k in 26-k/13=28

Answers

Answer 1

Answer:

k = -338

Step-by-step explanation:

The goal is to isolate k on one side, so let's start by multiplying 13 on both sides to get rid of the demoninator. After we do that, we'll be left with:

26 - k = 28(13)

26 - k = 364

Subtracting 26 from both sides gives us:

-k = 338

Multiplying both sides by -1 to make k positive gives us:

k = -338

Hope this helped! :)


Related Questions

At 3:30 P.M., the water level in a pool is 14 inches. At 4:00 P.M., the water level is 20 inches. At 5:00 P.M., the water level is 32 inches. What is the constant rate of change?

Answers

Answer: Per 1/2 an hour it is changes by 5 so the constanT rate would be: 5 inches per 1/2 an hour

A footbridge has a span of 54 feet. A sign is
to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge?

Answers

Answer:

27

Step-by-step explanation:

Because if it is halfway, that means

halfway=1/2

1/2=1/2 of 54

54/2 or 1/2 of 54=27

PLS MARK ME BRAINLIEST I NEED IT PLEASE

The center of the sign will be 27 feet apart from both ends of the bridge.

Given that,
A footbridge has a span of 54 feet. A sign is to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,

Since the bridge is 54 feet long,
Now at the center of the bridge, a sign is placed,
So the distance of sign from both ends is equal to half of the total length of the bridge. i.e.
= 54 / 2
= 27

Thus, the center of the sign will be 27 feet apart from both ends of the bridge.

Learn more about arithmetic here:

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Find cos(a) in the triangle.
Choose 1 answer

Answers

Answer:

the correct answer is 35 / 37

A movie membership costs $10 a month plus an additional $5 for each movie purchased. If you have only budgeted to spend a maximum of $25 this month, how many movies can you purchase?

Answers

Answer:

3

Step-by-step explanation:

25-10/3=3

Answer:

3 movies

Step-by-step explanation:

You can pay for 3 movies because

5*3=15 and you have to pay for the membership which is 10 so

10+15=25

Which sequence of transformations produces an image that is not congruent to the original figure?

A. A reflection across the x axis followed by a rotation of 180 counterclockwise

B. A translation of 6 units to the left followed by a reflection across the x-axis

C. A rotation of 90° clockwise followed by a translation of 4 units to the left

D. A translation of 4 units to the left followed by a dilation of a factor of 3

Answers

Answer:

  D. A translation of 4 units to the left followed by a dilation of a factor of 3

Step-by-step explanation:

Of the transformations, rotation, reflection, translation, dilation, the first three (rotation, reflection, translation) are known as "rigid" transformations. They do not change the shape or size of the object. Any result of a rigid transformation is congruent to the original.

Dilation, by its nature, changes the size of the object, so the result is NOT congruent to the original.

Choice D includes dilation, so the image is not congruent to the original.

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for fraction bar(s)
f(x) {____if -1_< x _<1
____if 3_< x _<5

Answers

Answer: f(x) = 4  if -1 ≤x ≤ 1

f(x) = x - 1 if 3≤ x ≤ 5

Step-by-step explanation:

if -1 ≤x ≤ 1

We can see that in this range the function is constant, f(x) = 4

if 3≤ x ≤ 5

In this region we can see a linear relationship, with the points (3, 2) and (5, 4)

as the extremes, we can find the slope of this linear equation as:

s = (4 - 2)/(5 - 3) = 2/2 = 1

So our equation is

f(x) = 1*x + b

to find the value of b we can evaluate our function in the first point, we know that when x = 3, y = 2, so we have:

2 = 1*3 + b

b = 2- 3 = -1

then f(x) = 1*x  - 1

Then we have:

f(x) = 4  if -1 ≤x ≤ 1

f(x) = x - 1 if 3≤ x ≤ 5

Water is leaking out of an inverted conical tank at a rate of 8200.08200.0 cm3/min cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 11.0 m11.0 m and the the diameter at the top is 4.5 m4.5 m. If the water level is rising at a rate of 16.0 cm/min16.0 cm/min when the height of the water is 3.0 m3.0 m, find the rate at which water is being pumped into the tank in cubic centimeters per minute. Answer: cm3/min

Answers

Answer:

I' = 197,474.47 cm^3/min

the rate at which water is being pumped into the tank in cubic centimeters per minute is 197,474.47 cm^3/min

Step-by-step explanation:

Given;

Tank radius r = d/2 = 4.5/2 = 2.25 m = 225 cm

height = 11 m

Change in height dh/dt = 16 cm/min

The volume of a conical tank is;

V = (1/3)πr^2 h .....1

The ratio of radius to height for the cone is

r/h = 2.25/11

r = 2.25/11 × h

Substituting into equation 1.

V = (1/3 × (2.25/11)^2)πh^3

the change in volume in tank is

dV/dt = dV/dh . dh/dt

dV/dt = ((2.25/11)^2)πh^2 . dh/dt ....2

And change in volume dV/dt is the aggregate rate at which water is pumped into the tank.

dV/dt = inlet - outlet rate

Let I' represent the rate of water inlet and O' represent the rate of water outlet.

dV/dt = I' - O'

Water outlet O' is given as 8200 cm^3/min

dV/dt = I' - 8200

Substituting into equation 2;

I' - 8200 = ((2.25/11)^2)πh^2 . dh/dt

I' = ((2.25/11)^2)πh^2 . dh/dt + 8200

h = 3.0 m = 300 cm (water height)

Substituting the given values;

I' = ((2.25/11)^2)×π×300^2 × 16 + 8200

I' = 197,474.47 cm^3/min

the rate at which water is being pumped into the tank in cubic centimeters per minute is 197,474.47 cm^3/min

Which of the following represents a function?

Answers

Answer:

  see below

Step-by-step explanation:

A graph is a function if any vertical line intersects points on the graph only once. The graph of A is a function.

__

Ordered pairs represent a function if no x-value is repeated. In the list of B, the x-value -1 shows up twice. The list of B is not a function.

__

As with ordered pairs, a table represents a function if no x-value is repeated. In the table of C, the x-value 3 shows up twice. The table of C is not a function.

__

A mapping diagram represents a function if each x-value is only mapped to one y-value. In the map of D, the x-value 3 is mapped to two different y-values. The map of D is not a function.

Answer:D

Step-by-step explanation:

Stir-fry is Gabe's favorite food to cook, but it always makes a lot of smoke! Gabe needs to know the volume of his kitchen so he can buy a fan that is the right size. Gabe's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of Gabe's kitchen?

Answers

Answer:

The volume of Gabe's kitchen is 680 ft^3

Step-by-step explanation:

The volume of the kitchen can be derived by multiplying the floor area of the kitchen by the height.

Volume = floor area × height

Given;

Floor area = 85 ft^2

Height = 8 ft

Substituting the given values into the equation;

Volume = 85 × 8 = 680 ft^3

The volume of Gabe's kitchen is 680 ft^3

Two terms of an arithmetic sequence are a12=70 and a30=124. Write an explicit rule for the nth term.

Answers

Answer:

Tn = 34-3n

Step-by-step explanation:

The formula for calculating the nth term of an arithmetic sequence is given as;

Tn = [tex]a+(n-1)d[/tex]

a is the first term

n is the number of terms

d is the common difference

If  two terms of an arithmetic sequence are a12=70 and a30=124 then;

T12 = a+(12-1)d = 70

T12 = a+11d = 70...(1)

T30 = a+(30-1)d = 124

T30 = a+29d = 124...(2)

Solving equation 1 and 2 simultaneously to get a and d;

Taking the difference of both equation we have;

29d - 11d = 124-70

18d = 54

d = 54/18

d = 3

Substituting d=3 into equation 1 to get the value of 'a' we have;

a+11(3) = 70

a+33=70

a = 70-33

a = 37

To get the explicit rule for the nth term of the sequence, we will use the formula Tn = a+ (n-1)d where a = 37, d =3

Tn = 37+(n-1)3

Tn = 37+3n-3

Tn = 34-3n

This gives the required nth term

I need help finding slope

Answers

Answer & Step-by-step explanation:

In this problem, we a re given two points. These points are (-4, 3) and (-2, -1). We can use these points and put them into the slope formula.

[tex]Slope=\frac{y2-y1}{x2-x1}[/tex]

Now, plug in the points to their respectful places.

[tex]Slope=\frac{-1-3}{-2-(-4)}[/tex]

[tex]Slope=\frac{-4}{2}[/tex]

[tex]Slope=-2[/tex]

So, your slope of the the line is -2.

Compute the amount of interest earned in the following simple interest problem. A deposit of $4,500 at 5% for 3 years:

$67.50
$6.75
$675.00
$6,750.00

Answers

Answer:

$675.00

Step-by-step explanation:

4500 x 0.05 x 3 = 675

The graph of a function is shown below.
D
Which statement best describes section D of the graph?
0 А.
linear and increasing
О В.
linear and decreasing
Ос.
nonlinear and increasing
OD
nonlinear and decreasing

Answers

Maybe the last option

Determine whether the equation is always sometimes or never true 2/3x+4=2x

Answers

Answer:

true

Step-by-step explanation:

x=3

The value of the variable x is 3. Then the equation is always true.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given below.

(2/3)x + 4 = 2x

Simplify the equation, then the value of x will be

2x + 12 = 6x

4x = 12

x = 3

The value of the variable x is 3. Then the equation is always true.

More about the solution of the equation link is given below.

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OMG THIS QUESTION IS SO HARD WILL RATE IF U GET IT

Answers

Answer:

19.5 in²

Step-by-step explanation:

Area of rhombus tile = side × height

Area = 3 × 6.5

Area = 19.5 in²

A rhombus, like any parallelogram, has area equal to base times height,

that's 3×6.5 = 19.5 square inches

Answer: 19.5

What is 1/3 of 5 1/2

Answers

Answer:

im so sorry

Step-by-step explanation:

Answer:

(1/3)*(5 1/2) = 1.83333333333 or 1.8

Step-by-step explanation:

Let P(-6,4) be a point on a rectangle PQRS. What are the coordinates of P if the rectangle is dilated by a scale factor of 3/8?

Answers

Answer:

  (-2.25, 1.5)

Step-by-step explanation:

If dilation is about the origin, each of the coordinates is multiplied by the dilation factor:

  P' = (3/8)P = 3/8(-6, 4) = (-18/8, 12/8)

  P' = (-2.25, 1.5)

Mr. Khan went for a trip in his car, which travels 14.5km/h on 1 liter petrol. The
reading of a speedometer was 19034.0 km when he started his journey and read
19396.5 km after he had completed his journey. How many liters of petrol are
consumed?

Answers

Answer:

25L

Step-by-step explanation:

19396.5 km - 19034.0 km = 362.5‬ km travled

362.5 km / 14.5 km/L = 25L

What number is 4 time another. The sum of the reciprocals is 15/4. find the numbers

Answers

Answer:

3/4 , 3

Step-by-step explanation:

Let one number = x

Other = 4x

Sum:

x + 4x = 15/4

5x = 15/4

x = 3/4

Thus the numbers are 3/4 , 3

What is the area of the triangle

Answers

Answer:

A. 6 inchesssssssss

Answer:

6

Step-by-step explanation:

The digit in the ten's place of a two digit number is one less than the digit in the one's place. If we add this number to the number obtained by reversing its digits, the result is 55, find the number.

Answers

Answer:

23

Step-by-step explanation:

55 = 23 + 32

14 and 41 came into my d, but 1 and 4 are 3 apart from each other

(would really appreciate the brainliest)

· Find (f • g)(x).
f(x) = 3x
g(x) = 5x
Write your answer as a polynomial in simplest form.
(fog)(x) =

Answers

f(g(x)) = 3(5x)
f(g(x)) = 15x

The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex] and this can be determined by using the arithmetic operations.

Given :

[tex]f(x) = 3x\\g(x) = 5x[/tex]

The following steps can be used in order to determine the expression of (fog)(x):

Step 1 - Write the given function.

[tex]f(x) = 3x\\g(x) = 5x[/tex]

Step 2 - Now, replace 'x' by g(x) in order to determine the expression of (fog)(x).

[tex](fog)(x)=3\;g(x)[/tex]

[tex](fog)(x)=3\times 5x[/tex]

Step 3 - Simplify the above expression.

[tex](fog)(x)=15x[/tex]

The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex].

For more information, refer to the link given below:

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g Which one of the following best describes an advantage of using a Poisson distribution (Model 1) over the distribution in Model 2 to model X? It allows us to model the data continuously. It allows individuals to have an arbitrarily large number of siblings. It reduces the amount of unknowns needed for modeling.

Answers

Answer:

It reduces the amount of unknowns needed for modeling.

Step-by-step explanation:

Let's first look at the characteristics of poisson distribution.

The Poisson distribution has the following characteristics:

1. It is a discrete distribution.

2. The occurrences in each interval can range from zero to infinity.

3. Each occurrence is very independent of the other occurrences.

4. It helps describes discrete occurrences over an interval.

5. It reduces the amount of constant and unknown needed for modeling an equation.

What whole number when rounding to the nearest hundred is 700

Answers

Answer:

honestly quite a lot

Step-by-step explanation:

any number from 650-699, and also from 700-749

Answer:

range, 700-749

Step-by-step explanation:

Which of the following explains the cause of the seasons changing on Earth?



The rotation of the Earth and sun.



The tilt of the axis of Earth and orbit of Earth around the sun.



The orbit of the Earth around the sun and rotation of the Earth.



The orbit of the Earth around the sun and rotation of the sun.

Answers

Answer:

The tilt of the axis of Earth and orbit of Earth around the sun.

Step-by-step explanation:

Answer options

The rotation of the Earth and sun.

 Incorrect

The tilt of the axis of Earth and orbit of Earth around the sun.

 Correct, seasons change because Earth tilts on its axis, and the angle of tilt causes the Northern and Southern Hemispheres to trade places throughout the year in receiving the sun's light and warmth most directly

The orbit of the Earth around the sun and rotation of the Earth.

 Incorrect

The orbit of the Earth around the sun and rotation of the sun.

Incorrect

Answer:

C - The orbit of the Earth around the sun and rotation of the Earth.

Step-by-step explanation:

Question 1
Write x2 + 4x – 3x3 + 6 in standard form.
a) – 3x3 + 4x + x2
b) x2 – 3x3 + 4x + 6
c) –3x3 + x2 + 4x + 6
d) 6 + 4x – 3x3 + x2

Answers

Answer:

-3x^3 + x^2 + 4x +6

Answer is C

Step-by-step explanation:

Answer: -3x^3 + x^2 + 4x +6

Answer is C

Step-by-step explanation:

What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?

Answers

Answer:

  x = 2

Step-by-step explanation:

A graph shows the axis of symmetry easily. It is the x-coordinate of the vertex.

  x = 2

__

You can rearrange the equation to ...

  y -7 = 4x -x^2

  y -7 = x(4 -x)

The axis of symmetry is halfway between x-values that give the same y-value. Here, y=7 for x=0 and for x=4. That is, the right side of this equation is zero at those x-values. The axis of symmetry is halfway between, at x = (0+4)/2 = 2

The axis of symmetry is x=2.

_____

Alternate solutions

In standard form,

  ax^2 +bx +c = y

the axis of symmetry is ...

  x = -b/(2a)

Putting this equation into that form, we have ...

  -x^2 +4x +7 = y

  x = -(4)/(2(-1))

  x = 2 . . . . axis of symmetry

__

We can rearrange the equation to vertex form.

  y -7 = -x^2 +4x

  y -7 -4 = -(x^2 -4x +4) . . . . . add the square of half the x-coefficient inside parentheses. Add an equal amount to the other side of the equation.

  y -11 = -(x -2)^2

This tells us the vertex of the graph is (2, 11), so the axis of symmetry is x=2.

Phil wishes to compare the weights of professional athletes to the weights of non-professional athletes. Phil completes a simple random sample of professional athletes and records his results in pounds: 125 147 240 186 156 205 248 152 199 207 176 Phil also completes a simple random sample of non-professional athletes and records his results in pounds: 151 161 139 128 149 160 201 173 The samples are independent and come from normally distributed populations. Use the p-value method and a 2% significance level to test the claim that the mean weights of professional and non-professional athletes are the same. What population parameter is being tested

Answers

Answer:  4

Step-by-step explanation:

A number pattern starts with 10 and follows the rule "multiply by 3." What is true
about all of the numbers in this pattern?

Answers

i think the answer is they are all divisible by 3


Area = 27 mi2
The area of the polygon is 27 mi? What is the length of side
miles​

Answers

Answer:

3 mi

Step-by-step explanation:

There are three squares with side a

The area of a square is s^2 where s is the side length

A of the square is a^2

We have three of them so add the areas together

a^2+a^2+a^2 = 3a^2

This is equal to 27

3a^2 = 27

Divide each side by 3

3/3a^2 = 27/3

a^2 = 9

Take the square root of each side

sqrt(a^2) = sqrt(9)

a = 3

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