solve the equation
y + 8 = 3

y =

Answer:

27

Step-by-step explanation:

4/15×100 =80/3 =26.6

Rounded to the nearest whole number is 27

The value of x from the given expression is negative start fraction 17 over 3 end fraction

The given proportion is as follows;

x+1/x-1 = 14/20

we have to cross multiply

20(x + 1) = 14(x - 1)

open the brackets

20x + 20 = 14x  - 14

subtract 14x from both sides

20x - 14x + 20 = 14x - 14x  - 14

6x + 20 = -14

subtract 20 from both sides

6x + 20 - 20 = -14 - 20

6x = -34

divide both sides by 6

6x / 6 = -34 / 6

x = - 17 / 3

Hence the value of x from the given expression is negative start fraction 17 over 3 end fraction

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The value of a in the equation given as a+3 divided by b =c is a = bc - 3.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe a scenario

From the information, a+3 divided by b =c. We have to make a the subject of the formula. This will be:

a + 3 / b = c

Cross multiply

a + 3 = bc

Subtract 3 from both sides

a + 3 - 3 = bc - 3

a = bc - 3

Therefore, a = bc - 3.

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Answer:

5th test = 90

Step-by-step explanation:

Overall average= 80

80 = (60 + 95 +80 + 75 + a) / 5

400 = 310 + a

a = 400 - 310

a = 90 ( score for 5th test)

Answer: formula - (x/4)+x

Step-by-step explanation:

Since there are no numbers, here is just the formula and what it means :)

(x/4)+x

(btw x is whatever your number is)

so what you need to do first is to divide your number by 4 because 25% is 1/4 of 100%

and then add that number that you just got to your number.

Its a little confusing to say out in words, so here is an example using 24

24/4=6

24+6=30

and heres another example using 50

50/4=12.5

50+12.5=62.5

I hope this helped! <3

Answer:

C. 16 days

Step-by-step explanation:

Let´s say each worker does 1 ¨work¨, for each day, in order to complete the job in 15 days. That´s a total of 150 work.

If only 6 workers worked for the first 5 days, then we only do 30 by Day 5.

2 more workers join, so they do 8 work each day, 24 work in 3 days, 54 work by Day 8.

4 more workers join to complete the job, so we now do 12 work each day.

150 - 54 = 96

96 work is left to do, which would be done in 8 days by 12 workers.

8 days + 8 days = 16 days

Answer:

Its 10x^2+12

Step-by-step explanation:

Answer:

-10X^2+12

Step-by-step explanation:

The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)

An inverse function in mathematics is a function that "undoes" another function.

In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.

An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.

The given function is of the form

f(x) = x^(7/9), this is equivalent to ⁹√x⁷

say f(x) = y, then

f(x) = y = x^(7/9)

y = x^(7/9)

solving for the inverse, of y = x^(7/9)

y = x^(7/9)

y^(9/7) = x

interchanging the letters

y = x^(9/7)

hence the inverse function is solved to be f⁻¹(x) = x^(9/7)

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The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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Answer: 4/5 = .8

cos adj/hyp of r is .8

HOWEVER...

I’m assuming it’s talking about angle R...

Answer:

Step-by-step explanation:

this is easy just multiply the VALUE of the cards or divide using standard algorithm

Answer:

80

Step-by-step explanation:

The variable "n" is not defined, but rather "k" is used in the summation. Assuming that "n" was meant to be "k", the expression should be:

s4 = ∑ k=1 to 4 of 2(3^(k-1))

To evaluate this expression, we need to substitute each value of k from 1 to 4 into the expression 2(3^(k-1)), and then sum up the results.

Starting with k = 1:

2(3^(1-1)) = 2(3^0) = 2(1) = 2

Moving on to k = 2:

2(3^(2-1)) = 2(3^1) = 2(3) = 6

Next, k = 3:

2(3^(3-1)) = 2(3^2) = 2(9) = 18

Finally, k = 4:

2(3^(4-1)) = 2(3^3) = 2(27) = 54

Now we add up these four results:

s4 = 2 + 6 + 18 + 54 = 80

Therefore, the value of s4 is 80.

Answer:

16. 0.57735

17. −0.707107

18. 0.5

19. 0.5

20. 2.61799387

21.  1.15470053

Answer: The standard form a circle is (x−h)2+(y−k)2=r2 , where (h,k) is the center of the circle and r is the radius of the circle. Therefore, the center of the circle is at (2,4) and the circle has a radius of 5 .

Step-by-step explanation:

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

Put n = 10

t(10) = 3(10) - 5 = 30 - 5 = 25

P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

T T T T T F F F F F T    T

F T T F F T T T T T F    F

P F T F F T T T T T F     F

-P T T F F T T T T T F     F

-Q T T T T F T F F F T     T

-P V -Q T T F F T T T T T F

-P -> Q T T F F T T T T T F

-P -> -Q T T F F T T T T T F

P <-> Q T T T T F T T T T F

Here is a more detailed explanation of how I filled out the table:

P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.

P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.

-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.

-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.

-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.

-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.

-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.

P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.

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Answer:

If you are using a calculator, simply enter 120×100÷40, which will give you the answer.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

22

- \(\sqrt{x}\) is a reflection of \(\sqrt{x}\) in the x- axis

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus

g(x) = - \(\sqrt{x}\) - 4

is a reflection in the x- axis, followed by a vertical translation 4 units down

23

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Thus

h(x) = \(\sqrt[3]{x+1}\) + 5

is a horizontal translation 1 unit left and a vertical translation of 5 units up

Answer:

22

- \sqrt{x}

x

is a reflection of \sqrt{x}

x

in the x- axis

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus

Answer: No

Step-by-step explanation:

There's no noticeable pattern.

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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The solution to the given linear inequality, r - 6 > -11, is r > -5

From the question, we are to determine the solution of the given inequality

The given inequality is

r - 6 > -11

To determine the solution of the inequality, we will solve the inequality for the unknown variable.

In the inequality, the unknown variable is r.

Solving the inequality for r

r - 6 > -11

Add 6 to both sides

r - 6 + 6 > -11 + 6

r > -5

Hence, the solution is r > -5

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Answer: 3:4

Step-by-step explanation:

Answer:

hope it becomes helpful to you ☺️☺️

good luck

Answer:

Step-by-step explanation:

Given is the exponential function which  is a geometric sequence

It has common ratio of 4

Correct answer option:

The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.

To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;

V = fλ

where

V = displacement/time

F = 1/T

But;

Displacement = 10 in

Time = 2 seconds

V = 10/2 = 5 in/s

F = 1/2 = 0.5

λ = 5/0.5 = 2.5in

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From the graph, you can see that there are two lines, the red line which is for the expanses and the blue line which is for the income.

The fashion designer break even at a point where her income is equal to the expanses and this will be the point of intersection of both lines on the graph.

The point of intersection from the graph is at (100, 1250) that is;

x = 100

y = 1250

Since the number of hats are values that lies on the x axis, hence the fashion designer must sell 100 hats for her to break even

9514 1404 393

Answer:

  2. -(-73) is positive

Step-by-step explanation:

It's not too difficult, but you can get wrapped around the axle. Here are the rules:

That is, turning a number to its opposite is just changing its sign.

__

If you layer these rules, you find ...

  the opposite of (the opposite of a positive number) is a positive number

The first rule tells you the statement in parentheses is a negative number, and the second rule tell you its opposite is a positive number.

That is, a double opposite gets you back where you started. In short, any even number of minus signs cancel each other.

__

The numbers you have listed here* are ...

_____

* We say "listed here" because we're seeing mismatched parentheses and brackets, so we know something is missing. We're going by the signs and numbers that we do see. YMMV

Answer:

73

Step-by-step explanation:

120-47=73 simple math