Find one-third of the sum 9 and 12.

Answers

Answer 1

Answer:

7

Step-by-step explanation:

9 plues 12 = 21

21 divide by 3

= 7

Answer 2

Answer:

7

Step-by-step explanation:

9 + 12 = 21

one third of 21 is the same as 21 divided by 3

so 21 divided by 3

= 7

so 7 is the answer

OR

9 divided by 3 = 3

12 divided by 3 = 4

3 + 4 = 7


Related Questions

A diver sits on a boat at the surface of the ocean preparing to dive. She dives in and descends to -128 feet. After a few minutes, she ascends 45 feet to swim with a pod of dolphins that has appeared. What integer represents the diver's position in feet (depth) when she swims with the dolphins?

HELP WILL NAME BRAINLIEST

Answers

Answer:

The diver's position in feet (depth) when she swims with dolphins is -83 feet.

Step-by-step explanation:

First highlight the important information from the question.

A diver sits on a boat at the surface of the ocean preparing to dive. She dives in and descends to -128 feet. After a few minutes, she ascends 45 feet to swim with a pod of dolphins that has appeared. What integer represents the diver's position in feet (depth) when she swims with the dolphins?

So, first she descends -128 feet, then she ascends 45 feet to swim with dolphins. So, now that we have the important information highlighted we can solve the problem.

-128+45=-83.

The diver's position in feet (depth) when she swims with dolphins is -83 feet.

Hope this helps!

If not, I am sorry.

a researcher in north america discovers a fossil that contains 40% of its original amount of C-14

Answers

Using an exponential function, it is found that the substance is 7,535 years old.

What is the exponential function for the amount of a substance?

The function is given by:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which:

A(0) is the initial amount.k is the rate of exponential decay.

Carbon-14 has a half life of 5700 years, that is, A(5700) = 0.5A(0), hence we use this to find k.

[tex]A(t) = A(0)e^{-kt}[/tex]

[tex]0.5A(0) = A(0)e^{-5700k}[/tex]

[tex]e^{-5700k} = 0.5[/tex]

[tex]\ln{e^{-5700k}} = \ln{0.5}[/tex]

[tex]k = -\frac{\ln{0.5}}{5700}[/tex]

k = 0.00012160476

Hence:

[tex]A(t) = A(0)e^{-0.00012160476t}[/tex]

It was 40% of the amount when A(t) = 0.4A(0), hence we solve for t.

[tex]A(t) = A(0)e^{-0.00012160476t}[/tex]

[tex]0.4A(0) = A(0)e^{-0.00012160476t}[/tex]

[tex]\ln{e^{-0.00012160476t}} = \ln{0.4}[/tex]

[tex]t = -\frac{\ln{0.4}}{0.00012160476}[/tex]

t = 7535.

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Which of the following is equal to m

Answers

Answer: tan^-1 (c/a)

Step-by-step explanation: An angle C ∈ ℝ such that angle C > 0 can be defined by the trigonometric ratio Arctangent (or rather tan^-1) where side "c" divided by side "a" ≠ 0.

Use properties of exponents to simplify the expression. First, express the
answer in exponential form. Then, evaluate the expression.
(1^3) ^4

Answers

Step-by-step explanation:

[tex] = { ({1}^{3} )}^{4} [/tex]

[tex] = {1}^{3 \times 4} [/tex]

[tex] = {1}^{12} [/tex]

[tex] = 1[/tex]

PLEASE HELP ME WITH THIS ASAP

Answers

Answer:

x=46

Step-by-step explanation:

4(x+1)-3x=50

first you gotta take care of the () so multiple by 4

(4x+4) -3x=50

combine like terms, subtract 4-3 to get 1 so you have 1x left

4 + x = 50

and then solve for x

x=46

( i checked it to make sure it was right so dw)

Matt is trying to measure the height of a tree using
trigonometry. He is having trouble because of the
terrain around the tree. The horizontal distance
from the tree to Matt's eyes is 120 feet. The angle
of depression from the horizontal is 30°. Matt's
angle of sight to the top of the tree is 23°. What is
the height of the tree? (Round to the nearest foot.)

Answers

The height of the tree will be 18.35 feet.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Matt is trying to measure the height of a tree using trigonometry.

He is having trouble because of the terrain around the tree.

The horizontal distance from the tree to Matt's eyes is 120 feet.

The angle of depression from the horizontal is 30°.

Matt's angle of sight to the top of the tree is 23°.

The diagram is given below.

Let x be the height of tree and AM be h.

The value of (h + x) will be

tan 30° = (x + h) / 120

   x + h = 69.288

Then the value of h will be

tan 23° = h / 120

        h = 50.94 feet

Then the height of the tree will be

⇒ h + x – h

⇒ 69.29 - 50.94.

⇒ 18.35 feet

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All the square numbers between 20 and 50

Answers

it is 3 numbers all together and they are 25, 36 and 49.

Which function can be used to represent the graphed geometric sequence?

f(x) = 80(One-fourth) Superscript x minus 1
f(x) = 320(One-fourth) Superscript x minus 1
f(x) = 80(4)x – 1
f(x) = 320(4)x – 1

Answers

The function which is used to represent the graphed geometric sequence is

[tex]f(x) = 80{( \frac{1}{4}) }^{x - 1} [/tex]

Let a be first term and r common ratio of the Geometric progression.

The Geometric sequence is of the form a,ar,ar^2, ...

The common ratio will be ar/a.

From the graph, we can find out the sequence as 80,20,5, ...

Here we can see that the sequence is in Geometric Progression.

First term a=80

Common ratio r= ar/a

= 20/80

=1/4

General term of Geometric sequence is

[tex]f(x) = a {r}^{x - 1} [/tex]

Substituting the value a = 80 and r = 1/4,

we get,

[tex]f(x) =80 { (\frac{1}{4} )}^{x - 1} [/tex]

Hence, the correct answer is

[tex]f(x) =80 { (\frac{1}{4} )}^{x - 1} [/tex]

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Squares are cut out of the corners of a piece of 18*18 graph paper so that the sides can be folded to make an open box. What is the largest possible number of cubic units in the volume of the box if we require that the length of each edge is a whole number?

Answers

Answer:

432 mm²

Step-by-step explanation:

We need to cut out 3x3 squares from corners and make an open box. It's height will be 3mm(see the plan). So volume will be:
V = 12 * 12 * 3 = 432mm²

What are the missing parts that correctly complete the proof?


Drag the answers into the boxes to correctly complete the proof.

(Please refer to the images provided for the answer options and equation image.)

Answers

It has been proved that point A is equidistant from the sides of angle PQR.

What is a Bisector ?

Any line or point that divides an angle or a side in equal parts is called a Bisector.

It is given that

Point A is the bisector of Angle PQR

Referring to the image

1. QA is the bisector of angle PQR : Given

2.Angle PQA = Angle RQA : Definition of Bisector

3.Angle QXA = Angle QYA : Definitions of Perpendicular

4. Angle QXA = Angle QYA : All right angles are congruent.

5. QA ≅QA :  Reflexive Property of Congruence

6. ΔPQA ≅ΔRQA : AAS Congruence Postulate

7. AX ≅AY  Corresponding parts of Congruent Triangles

8. Point A is equidistant from the sides of Angle PQR : Definition of equidistant.

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what is the principle value of sin^-1(1)

Answers

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The principal value of sin⁻¹(1) is 90°.

What is Sine (Sinθ)?

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

The principal value of sin⁻¹(1) is,

θ = Sin⁻¹(1)

θ = 90°

Hence, the principal value of sin⁻¹(1) is 90°.

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PLS HELP

What is the factored form for the quadratic function below?
y = 7x² - 2x - 5
Oy
(7x+5)(x - 1)
Oy
(7x - 5)(x - 1)
Oy (7x + 1)(x + 5)
Oy (7x+5)(x + 1)

Answers

Answer: y = (x - 1) (7x + 5)

Step-by-step explanation:

y = 7x² - 2x - 5     Use the slip and slide method.

y = x² - 2x - 35    Factor

y = (x - 7) (x + 5)  Slide 7 back in, divide -7 by 7 to get -1. Slip 7 into (x + 5).

y = (x - 1) (7x + 5)

   

The factorized form of the quadratic equation is  y = (7x+5)(x - 1).

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

To factor the quadratic function, we need to find two binomials whose product is equal to the given quadratic. Here's one way to factor y = 7x² - 2x - 5:

First, we need to find two numbers whose product is 7(-5) = -35 and whose sum is -2. These numbers are -7 and 5, since (-7)(5) = -35 and (-7) + 5 = -2.

Next, we use these two numbers to split the middle term of the quadratic:

y = 7x² - 7x + 5x - 5

Notice that we have a common factor of 7x in the first two terms and a common factor of 5 in the last two terms. We can factor these out to get:

y = 7x(x - 1) + 5(x - 1)

Now, we have a common factor of (x - 1), which we can factor out to get the factored form:

y = (7x + 5)(x - 1)

Therefore, the correct answer is: y = (7x+5)(x - 1).

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Cans of wood varnish come in three sizes.

Small can: A 200 ml can costs £0.88.
Medium can: A 500 ml can costs £1.32.
Large can: A 1 litre can costs £3.60.

Calculate the cost of 1 litre for the small and medium cans.
Give your answer in pounds to 2 dp.

Answers

The cost of 1 liter for the small and medium cans is 4.4 and 2.4.

What is Unitary method?

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

As,  

Small can: A 200 ml can costs £0.88.

Medium can: A 500 ml can costs £1.32.

Large can: A 1 litre can costs £3.60.

Now, 200 ml = 0.2 l

500 ml = 0.5 l

For 0.2 l = 0.88

For 1 l= 0.88/0.2

For 1 liter = 4.4

For 0.5l medium can = 1.32

For 1 l medium can= 1.32/0.5

For 1 l medium can = 2.4

Hence, cost of 1 liter for the small can is £ 0.88 the cost of 1 liter for the medium can is £ 2.4.

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Ragan makes beaded jewelry. The graph below shows the number of beads on varying cord lengths.

Jewelry
A graph has cord length (inches) on the x-axis and number of beads on the y-axis. A line goes through points (16, 48) and (24, 72).




Which is the best estimate of the number of beads on a cord that is 16 inches long?
5
8
44
48

Answers

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

edge 2023

multiple answer problem ​

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: E.\:\: \overline{DC}[/tex]

or

[tex]\qquad \tt \rightarrow \: F.\:\:\overline{CD}[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

A line with two dots at ends (two ends) represents a line segment.

And it can be represented as :

[tex]\qquad \tt \rightarrow \: \overline{DC}[/tex]

or

[tex]\qquad \tt \rightarrow \: \overline{CD}[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

What is the independent variable in the equation y=-5x+2?

Answers

Answer: x

Step-by-step explanation:

    For this equation, the variable y is dependent on the value of x. The value of y changes depending on the value of x. This means that x is the independent variable for this equation.

Find the following, giving your answers
to 1 decimal place.
10 cm/
6 cm
8 cm
a) The volume of the cone.
b) The curved surface area of the cone.

Answers

Answer:

  a) 301.6 cm³

  b) 188.5 cm²

Step-by-step explanation:

The volume and lateral surface area of the cone can be found using the given dimensions with the given formulas. All that is needed is to substitute the appropriate values and do the arithmetic.

__

a) volume

The volume is given by the formula ...

  V = 1/3πr²h

The dimensions are given on the diagram: r = 6 cm, h = 8 cm. Using these values in the formula, we find the volume to be ...

  V = 1/3π(6 cm)²(8 cm) = 96π cm³ ≈ 301.6 cm³

The volume of the cone is about 301.6 cm³.

__

b) area

The lateral area of the cone is given by the formula ...

  A = πrl

The dimensions are given on the diagram: r = 6 cm, l = 10 cm (the slant height). Using these values in the formula, we find the area to be ...

  A = π(6 cm)(10 cm) = 60π cm² ≈ 188.5 cm²

The area of the curved surface is about 188.5 cm².

On the second journey Ikbal drives at an average speed of 64km/h.

work out

(i) the distance he travels in 90minutes,
in km

Answers

Answer:

96Km

Step-by-step explanation:

l wrote 90/60 because the speed is given in hours.

so I had to deal with hours only not hours and minutes.

that's why I wrote 90/60 .

you can also choose to divide.

I mean to change the minutes to hours so that the formula can work.

good day.

Select the correct answer.
Which calculation correctly uses prime factorization to write √48 In simplest form?
OA √48 = √2-2-2-2-3-2√12
OB. √48√4 - 12 = 2√12
OC. √48 = √2-2-2-2-3= 4√3
OD. √48 =√16-3 = 4√3

Answers

D. √48 =√16*3 = 4√3

Simplify the radical by breaking the radicand up into a product of known factors.

16*3 = 48

this means that √48 = √16*3, but this can be simplified.

√16 = 4, √3 = √3 because it cannot be simplified farther

making the most simplified answer 4√3

same side interior angles are _____ congruent

A.always
B.never
C.sometimes

Answers

Answer:

B. Never

Step-by-step explanation:

that's just what my math teacher told us...

Review the debate between former presidents, Jimmy Carter and Ronald Reagan. In a three paragraph essay of (4-5 sentences each), write an evaluation with evidence to support which candidate proposed a more compelling argument about inflation.

Support your claim with specific data presented by each of the candidates. Be sure to mention a minimum of one counterpoint, and refute this point with evidence.

Answers

Answer:

A key turning point in American politics was the election of 1980. It indicated the new electoral power of the suburbs. The success that Reagan had as a conservative would initiate a group of parties because liberals and conservatives would either leave politics or change party affiliations through the 1980s and 1990s. The research shows this caused the 1980 election to be recalled as one of America's best historical events.

Step-by-step explanation:

The League of Women Voters is pleased to welcome President Jimmy Carter, the Democratic Party's candidate for re-election to the Presidency, and Governor Ronald Reagan of California, the Republican Party's candidate for the Presidency. The candidates will debate questions on domestic, economic, foreign policy, and national security issues.

In the debate between sitting president Jimmy Carter and Republican challenger Ronald Reagan, Reagan's arguments and explanations best match the available evidence. Carter claims his policies had reduced the inflation rate by 10% in less than a year and points to the 9 million jobs he had provided to reduce unemployment rates. Reagan refutes this by mentioning that while Carter may have decreased the inflation rate from the beginning of the year, the inflation rate increased from 4.4% at the start of his presidency to almost 12% now. A graph provided by Ed Genuity proves this to be true, therefore current evidence supports Reagan's claim.

In the final week of the 1980 presidential campaign between Democratic President Jimmy Carter and Republican nominee Ronald Reagan, the two candidates held their only debate. And then, during the debate, Reagan posed what has become one of the most important campaign questions of all time: “Are you better off today than you were four years ago?” Carter’s answer was a resounding “NO,” and in the final, crucial days of the campaign, his numbers tanked.

On Election Day, Reagan won a huge popular vote and electoral victory. The “better off” question has been with us ever since. Its simple common sense makes it a great way to think about elections. And yet the answers are rarely simple.

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sin theta / cos theta - cos theta/ sin theta​

Answers

Answer:

tan theta - cot theta

Step-by-step explanation:

sin/cos = tan

cos/sin = cot

What is the slope of the linear relationship shown in this table of values?​

Answers

The equation is
The difference of y/ the difference of x
If you want further help ask

Answer:

B

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (- 4, 11) ← 2 ordered pairs from the table

m = [tex]\frac{11-(-1)}{-4-2}[/tex] = [tex]\frac{11+1}{-6}[/tex] = [tex]\frac{12}{-6}[/tex] = - 2

Match the circle equations in general form with their corresponding equations in standard form. x2 y2 − 4x 12y − 20 = 0 (x − 6)2 (y − 4)2 = 56 x2 y2 6x − 8y − 10 = 0 (x − 2)2 (y 6)2 = 60 3x2 3y2 12x 18y − 15 = 0 (x 2)2 (y 3)2 = 18 5x2 5y2 − 10x 20y − 30 = 0 (x 1)2 (y − 6)2 = 46 2x2 2y2 − 24x − 16y − 8 = 0 x2 y2 2x − 12y − 9 = 0

Answers

The equation given is matched with the respective vertex forms.

What is the standard Equation for a circle ?

The standard equation for a circle is given by

(x-h)² + (y-k)² = r²

The equation given in the question are

x² + y²  − 4x + 12y − 20 = 0

(x − 6)²  + (y − 4)²  = 56

x²  + y²  + 6x − 8y − 10 = 0

(x − 2)²  + (y + 6)²  = 60

3x²  + 3y²  + 12x + 18y − 15 = 0

(x + 2)²  + (y + 3)²  = 18

5x²  + 5y²  − 10x + 20y − 30 = 0

(x+3)²  + (y-4)²  = 35

2x²  + 2y²  − 24x − 16y − 8 = 0

(x-1)²  + (y+2)²   = 11

The first equation is

x² + y²  − 4x + 12y − 20 = 0

It can be written ad

x² -4x + 4 - 4 +y²+12y +36-36 -20 = 0

(x-2)² +(y+6)²= 60

The second equation is

x²  + y²  + 6x − 8y − 10 = 0

x² +6x +9-9 +y²  -8y +16-16 -10 = 0

(x+3)²  + (y-4)²  = 35

The third equation is

3x²  + 3y²  + 12x + 18y − 15 = 0

(x + 2)²  + (y + 3)²  = 18

The fourth equation is

5x²  + 5y²  − 10x + 20y − 30 = 0

(x-1)²  + (y+2)²   = 11

The fifth equation is

2x²  + 2y²  − 24x − 16y − 8 = 0

(x − 6)²  + (y − 4)²  = 56

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Find the range of the given function y = 5x + 2, where x > -2

Answers

The range of the function given the domain x > -2 is; Range; y < -8.

What is the range of the function?

The range of a function is the set of all possible outcomes of the function. In this scenario, since the domain of the function is given as X > -2. It follows from the function that at all times, the range of the function is given by; y < -8 from; y < 5(-2) +2; y< -8.

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Which is a rational function?
A. Y=5
B. Y=√x-3
C. Y=x²-3x+5
D.Y = x-5/x

Answers

B…………. is the answer

C
2
1
3
A. 21
B. 23
C.24
D. 25
b7
#
5
4
In the figure, which angle has the same measure as /2?

Answers

Answer:

the angle that has the same measure as /2 is A

I think its 2c but am not sure

need help with this question , pls help

Answers

Answer:

A = 80g B = 200g

Step-by-step explanation for A:

First, you would find what the serving size is divided by to get the number of people needed to feed 6/3 = 2. Then take that number (3) and divided it by the fish (240g) to get 240/3 = 80.

Step-by-step explanation for B:

You will first need to find how much butter goes into ONE pie by dividing 80 by 6 which is 1.33333333333333. Then do 1.333333333333333 times the number of people to feed (15) to get 200.

2^-4 simplified form

Answers

Answer:

1/16 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

Please help me with my math

Answers

Answer:

x = 72

y = 15

Step-by-step explanation:

m and n are parallel lines so we can write the following equation:

108 + x = 180 because these angles are supplementary

if we subtract 108 from both sides

x = 72 we can also write the following equation:

5y - 3 = x because these are alternate angles

5y - 3 = 72 add 3 to both sides

5y = 75 divide both sides by 5

y = 15

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