1/2+3/2=2^x
What is the solution to the equation?

Answers

Answer 1

Answer: x=1

Step-by-step explanation:

1/2+3/2=2^x

4/2=2^x

2=2^x

x=1


Related Questions

What is the circumference of the given circle in terms of л

Answers

Answer:

30π in

Step-by-step explanation:

Circumference of a circle = 2πr

Where r is the radius

In the given diagram, the radius is 15 in

2×π×15 in = 30π in

math!! please helpp!!!

What is the y intercept of the line below?

( i attached an image)

a) -3

b) 1/3

c) 4

d) (-1.5,0)

e) -1.5

f) (4,0)

g) 3

Answers

Answer:

f (4,0)

Step-by-step explanation:

Hope it helps!!!

y=4

x=0

_______________________________________________________

Answer:

4

Step-by-step explanation:

[tex]\large\displaystyle\begin{gathered} \sf{The \ y-intercept \ is \ the \ point \ where \ the \ graph \ intercepts \ the \ y \ axis. \\ \sf{Thus, \ assuming \ that \ each \ little \ square \ represents \ one \ unit, \ the \ y-intercept} \\ \sf{is \ 4} \end{gathered}[/tex]

done !!

⊱_______________________________________________________⊰

Cαlligɾαρhγ

A survey of 150 people at a local high school about playing video games was conducted, and the results are posted in the table.


Play Video Games Do Not Play Video Games
Juniors 48 12
Seniors 45 25
Teachers 6 14


What is the probability of choosing a person at random who is a teacher and plays video games? Are these independent events?
The P(teacher and video games) = 4%; the two events are not independent.
The P(teacher and video games) = 4%; the two events are independent.
The P(teacher and video games) = 9%; the two events are not independent.
The P(teacher and video games) = 9%; the two events are independent.

Answers

The P(teacher and video games) = 4%; the two events are not independent.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

P(teacher and video games) = number of teachers who play video game / total number of respondents

6/150 = 0.04 = 4%

Independents events are events whose occurrence do not depend on each other. They are random events.

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Answer:

The P(junior and video games) = 32%; the two events are not independent.

Step-by-step explanation:

i got it right aswell

Write an equation in slope intercept form for the line with slope -1/2 and y-intercept -5

Answers

Answer: -1/2x - 5 = Y

Step-by-step explanation:

- slope intercept form is mx + b = Y

- m is the slope

- b is the y intercept

- leave x and y as variables

- since your y intercept is negative the + will be a -

- so the equation becomes -1/2x - 5 = Y

hope this helps :)

Minerva starts a savings account with $50. The interest on the account balance is compounded annually. The graph below shows the account balance in terms of x ,the number of years since the account was opened.



After 12 years, Minerva's account balance should be about $100, assuming that she does not add or withdraw any money from the account.

Cannot be determined from the information given.
False
True

Answers

Minerva's account balance will be about $100 ,  it is True and Option A is the correct answer.

What is meaning of Compounded annually ?

Compounded Annually means when the interest is given even on the interest accrued from the principal amount . This is done once a year.

It is given that

Principal Amount = $50

From the graph attached in the answer which was missing in the question ,

It can be confirmed that after 12 years

Minerva's account balance should be about $100.

Therefore it is True and Option A is the correct answer.

The graph missing is attached

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If the zeros of a quadratic equation are 7 and - 4 , what would be the factors?

Answers

Answer:

(x - 7) , (x + 4)

Step-by-step explanation:

given the zeros of a quadratic equation x = a and x = b , then

the corresponding factors are (x - a) and (x - b)

here the zeros are x = 7 and x = - 4 then factors are

(x - 7) and (x - (- 4) ) , that is

(x - 7) and (x + 4)

For the following exercises, find the x- and y-intercepts of the graphs of each function.
28. f(x) = −2| x +1 | + 6

Answers

The x- and y-intercepts of the graphs of the function described are; (2,0) and (4,0) respectively.

What are the x- and y-intercepts of the graph of the function?

It follows from the task content that the function given is; f(x) = −2| x +1 | + 6.

Since the x- and y-intercepts corresponds to x and y values for which y and x are zero respectively, it follows that;

x -intercept is;

0 = -2(x+1) + 6

2x = -2 +6

2x = 4

x = 4/2 = 2

y-intercept is;

y = -2(0+1) +6

y = 4.

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A trapezoid has bases measuring 5cm and 9cm, and an area of 42cm. Find the height

Answers

The height of the trapezoid is 6 cm

How to find the height?

The given parameters are:

Bases = 5cm and 9cm

Area = 42 square cm

The height is calculated using

Area = 0.5 * (Sum of bases) * Height

So, we have:

42 = 0.5 * (5 + 9)* Height

This gives

42 = 7* Height

Divide through by 7

Height= 6

Hence, the height of the trapezoid is 6 cm

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An article marked to give 120% profit originally cost $60. what is the marked price?

Answers

Answer is $72.00
Reason
We know cost is $60
We know profit percent is 120%
So 60x 120% = $72 marked price

Two different cubes of the same size are to be painted, with the color of each face being chosen independently and at random to be either black or white. What is the probability that after they are painted, the cubes can be rotated to be identical in appearance

Answers

Answer:

Step-by-step explanation:

Define two ways of painting to be in the same class  if one can be rotated to form the other.We can count the number of ways of painting for each specific class .

Case 1: Black-white color distribution is 0-6 (out of 6 total faces)

Trivially [tex]1^{2}[/tex]=1 way to paint the cubes.

Case 2: Black-white color distribution is 1-5

Trivially all [tex]\frac{6}{5}[/tex] =6 ways belong to the same class , so [tex]6^{2}[/tex] ways to paint the cubes.

Case 3: Black-white color distribution is 2-4

There are two classes for this case: the class  where the two red faces are touching and the other class where the two red faces are on opposite faces. There are 3 members of the latter class  since there are  3 unordered pairs of  2 opposite faces of a cube. Thus, there are [tex]\frac{6}{4}[/tex]-3=12  members of the former class . Thus, [tex]12^{2} + 3^{2}[/tex] ways to paint the cubes for this case.

Case 4: Black-white color distribution is 3-3

By simple intuition, there are also two classes  for this case, the  class where the three red faces meet at a single vertex, and the other class where the three red faces are in a "straight line" along the edges of the cube. Note that since there are 8 vertices in a cube, there are 8  members of the former class and [tex]\frac{6}{3} -8=12[/tex] members of the latter class. Thus, [tex]12^{2} - 8^{2}[/tex]  ways to paint the cubes for this case.

Note that by symmetry (since we are only switching the colors), the number of ways to paint the cubes for black-white color distributions 4-2, 5-1, and 6-0 is 2-4, 1-5, and 0-6 (respectively).

Thus, our total answer is[tex]\frac{2*(6^{2} + 1^{2}+ 12^{2}+ 3^{2})+12^{2}+8^{2}}{2^{12} } =\frac{588}{4096} = \frac{147}{1024}[/tex]

Select the correct answer.
The product of two numbers is 21. If the first number is-3, which equation represents this situation and what is the second number?
OA The equation that represents this situation is x-3=21. The second number is 24.
OB. The equation that represents this situation is 3x=21. The second number is 7.
OC. The equation that represents this situation is-3x=21. The second number is-7.
OD. The equation that represents this situation is -3+x=21. The second number is 18.

Answers

Option B is correct

Why

3x=21

3(7) =21

21=21

Step-by-step explanation:

Answer:

[tex]-3x=21 , -7[/tex]

Step-by-step explanation:

[tex]-3x=21\\x=\frac{21}{-3} =-7[/tex]

Find the number, d, if the sum of five times d and five times five is a
hundred.

Answers

The value of d from the given expression is 15

Word problem leading to equation

From the given statement the sum of five times d and five times five is a

hundred is interpreted as;

5d + 5(5) = 100

5d + 25 = 100

Subtract 25 from both sides

5d = 100 - 25

5d = 75

d =15

Hence the value of d from the given expression is 15

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4^x + 3 = 7 using the change of base formula log y =
log y/log b

Answers

Answer:

x=1

Step-by-step explanation:

It's pretty obvious to see that x equals 1 after you subtract 3 from both sides, but this question specifies using change base, so:

log(b)a means log base b with a as the contents
1.
4^x+3-3=7-3


4^x=4


log(4)4^x=log(4)4    (both logs are base 4 in this case to free the x)


x=log(4)4

x=log(10)4/log(10)4   (both logs are base 10 in this case)

x=1

Change base is definitely unnecessary in this problem


Using the quadratic formula, solve for "t" in
the function: 0= -16t2 + 5t + 104. Keep in
mind that time CANNOT be "negative'!!!
t = 1.1 s
t = 1.9 s
t=2.71 s
t=2.2 s

Answers

Here is the answer. Rechecking with your teacher if it is correct or not.

Find the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2. a. r= 6/1+2 sin theta b. r= 6/1-2 sin theta c. r= 3/ 1- 2 cos theta d. r= 1/3+2 cos theta

Answers

The required polar equation of a conic is given be: [tex]r = \frac{6}{1-2sin\Theta }[/tex]. option b is correct.

For a conic we have directrix = 3 and eccentricity = 2

What is polar equation?

Polar equation can be identified as of the form of x= a+b.sinФ.
Which contain simple variable along with trigonometric operators.

Here,

Standard polar equation for the conic is given as,

    [tex]r=\frac{ep}{1-esin\theta}[/tex]  
By putting given values
[tex]r = \frac{6}{1-2sin\Theta }[/tex].
Thus, the required polar equation for the conic is  [tex]r = \frac{6}{1-2sin\Theta }[/tex].

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Type the correct answer in the box. Use numerals instead of words.
The graphs of functions f and g are shown.

Graph shows 2 functions. First curve f begins close to Y-axis in quadrant 3 and rises through (1, 0), (4, 2), (8, 3) in quadrant 1. Second curve g begins close to Y-axis in quadrant 3 and rises through (1, 0), (4, 4), and (8, 6) in quadrant 1.

Function g is defined as . What is the value of k?

The value of k is
.

Answers

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words.

The graphs of functions f and g are shown.

Graph shows 2 functions. First curve f begins close to Y-axis in quadrant 3 and rises through (1, 0), (4, 2), (8, 3) in quadrant 1. Second curve g begins close to Y-axis in quadrant 3 and rises through (1, 0), (4, 4), and (8, 6) in quadrant 1.

Function g is defined as . What is the value of k?

The value of k is

(1,0)

4. Point P is not on line . Describe the shortest distance from the point to the line
P
8

Answers

Answer:

a line that is perpendicular to the line l

Which of the following completes the two-column proof below?

Given: ∠1≅∠2, p⊥r
Prove: q⊥r
Proof:

1. ∠1≅∠2 (Given)

2. p∥q (?)

3. p⊥r (?)

4. q⊥r (?)

The figure shows lines p and q and transversal r. The intersection of line p and transversal r forms four angles, the top right angle is labeled as a right angle, the top left angle is labeled as 1. The intersection of line q and transversal r forms four angles, the bottom right angle is labeled as 2.

Answers

2. Converse of corresponding angles theorem.

3. Given

4. Perpendicular transverse theorem

What is the Converse of Corresponding Angles Theorem?

According to the converse of corresponding angles theorem, if two corresponding angles are congruent, then the lines cut by the transversal that both angles line on are parallel to each other.

Thus, given that ∠1 ≅ ∠2, lines p and q will be parallel based on the converse of corresponding angles theorem.

We are given that lines p and r are perpendicular to each other, therefore, we can conclude that, based on the perpendicular transverse theorem, q⊥r.

The missing reasons in the proof are:

2. Converse of corresponding angles theorem.

3. Given

4. Perpendicular transverse theorem

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PLEASE HELP!!!!!!!!!!!!!!

Answers

Answer:

The first answer is correct:

[tex]\{\frac{1}{3},-3.45,\sqrt{9}\}[/tex]

Step-by-step explanation:

Since [tex]\frac{1}{3}, -3.45, \sqrt{9}=3[/tex] are all rational numbers, the set that contains those numbers is the set of rational numbers.

In the second set, number [tex]\sqrt{37}[/tex] is irrational number since it can not be written as quotient.

Also in the third and fourth set, numbers [tex]\sqrt{44}[/tex] and [tex]\sqrt{2}[/tex] are irrational numbers.

Therefore, the first answer is correct.

If 3x + 7 =22, what is the value of x

Answers

Answer:

x=5

Step-by-step explanation:

solution,

3x+7=22

or,3x=22-7

or,3x=15

or,x=15/3

:×=5

The value of x in the equation 3x + 7 = 22 is x = 5.

To find the value of x in the equation 3x + 7 = 22, we can solve for x as follows:

Subtract 7 from both sides of the equation:

3x + 7 - 7 = 22 - 7

3x = 15

Divide both sides of the equation by 3 to isolate x:

(3x)/3 = 15/3

x = 5

Therefore, the value of x in the equation 3x + 7 = 22 is x = 5.

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If x is inversely proportional to y, then as x decreases, y decreases.​

Answers

Answer:

Yes

Step-by-step explanation:

Let's assume that x=1/y.

For y=1, x=1

For y=2, x=0.5

For y=4, x=0.25

And so on

A farmer has 45 horses and 20 cows.
(i) Write this as a ratio horses : cows.
Give your answer in its simplest form.

Answers

Answer: 9 : 4

Step-by-step explanation:

45 : 20

simplify

9 : 4

Matthew thought he could make 19 free throws, but he only made 13. What was his percent error? Hint: Percent error = Prediction - Actual Actual x 100 Round to the nearest percent. [ ? 1% Matthew thought he could make 19 free throws , but he only made 13 . What was his percent error ? Hint : Percent error = Prediction - Actual Actual x 100 Round to the nearest percent . [ ? 1 %​

Answers

Answer:

[tex]\huge\boxed{\sf 46.2\%}[/tex]

Step-by-step explanation:

Prediction = 19 throws

Actual = 13 throws

Percent Error:

[tex]\displaystyle =\frac{Predication -Actual}{Actual} \times 100 \%\\\\= \frac{19-13}{13} \times 100 \%\\\\= \frac{6}{13} \times 100 \%\\\\= 0.462 \times 100 \%\\\\= 46.2\%\\\\\rule[225]{225}{2}[/tex]

What is the missing number in this sequence: 1 , 3, ___ , 10 , 15 , 21 ?

Please explain it step-by-step

Answers

Answer:

6

Step-by-step explanation:

the sequence increases by 1,2,3,4,5,6 each time, thus it is 6

He length of the hypotenuse of a right triangle is 24 inches. if the length of one leg is 8 inches, what is the approximate length of the other leg? 16.0 inches 18.4 inches 22.6 inches 25.3 inches

Answers

Answer:

22.6

Step-by-step explanation:

a^2 + b^2 = c^2  We know one of the legs and the hypotenuse.  The hypotenuse must be c.  The leg that we do know can be a or b.  It is our choice.  I am going to let it be a

8^2 + b^2 = 24^2  Plug in the numbers that I know

64 + b^2 = 576   Square the numbers that I know

b^2 = 512   Subtract 64 from both sides

b = 22.6  Put this in your calculator to find the square root and round.

Evaluate 3 × 5². A. 30 B. 75 C. 150 D. 225

Answers

Answer:

B: 75

Step-by-step explanation:

5^2 is 5 times itself twice, so 5 times 5 = 25

3 times 25 is 75

Answer:

Hello! The answer to your question is B. 75.

Step-by-step explanation:

To solve this question, you have to first convert the exponents:

[tex]5^2 = 25[/tex]

Now that you have converted the exponents, you can multiply:

3 × 25 = 75

Which of the following best describes a parabola?
A.The locus points equidistant from a given line of symmetry and focus.
B.The locus of points equidistant from two given points.
C.The locus of points equidistant from a given directrix and focus.
D.The locus of points equidistant from a center.

Answers

The Parabola is a locus of points equidistant from a single point called focus and a line called Directrix. The correct option is C.

What is a Parabola?

A parabola is a U-shaped figure, all the point on the parabola is equidistant from the focus, and a line called Directrix.

The Parabola is a locus of points equidistant from a single point called focus and a line called Directrix.

Therefore, The correct option is C.

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In the diagram, JKLM∼EFGH. Find the perimeter of each polygon.

Answers

The perimeter of polygon JKLM = 85 units

The perimeter of polygon EFGH = 34 units.

What is the Perimeter of a Polygon?

The perimeter of polygon JKLM = JK + KL + LM + JM

The perimeter of polygon EFGH = EF + FG + GH + EH

Find the missing lengths using the similarity theorem:

JK/EF = KL/FG = LM/GH = JM/EH

Plug in the values

20/8 = KL/11 = LM/3 = 30/EH

20/8 = KL/11

KL = (20 × 11)/8 = 27.5

20/8 = LM/3

LM = (20 × 3)/8

LM = 7.5

20/8 = 30/EH

EH = (30 × 8)/20

EH = 12

The perimeter of polygon JKLM = 20 + 27.5 + 7.5 + 30 = 85 units

The perimeter of polygon EFGH = 8 + 11 + 3 + 12 = 34 units.

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Suppose that $x$ is a multiple of 6 (not necessarily positive). If the square of $x$ is less than 200, how many possible values of $x$ are there

Answers

All multiple of 6 under 14 are: -12, -6, 0, 6, 12

How do we get 14 here:

√200= 14.142 (Round to thousandth place)

This is how many x we have found.

A multiple in math is the number you get when you multiply a certain number by using an integer. for example, multiples of 5 are: 10, 15, 20, 25, 30…, and so forth. Multiples of 7 are 14, 21, 28, 35, 42, 49…and many others.

In math, the meaning of a multiple is the product result of one number multiplied by another number. Here, 56 is a multiple of the integer 7. Here is an example of multiples: Fun facts. 0 is a multiple of every number as the product of 0 multiplied by any number is 0.

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Each week, Adam deposits money into his savings account. The graph below models the scenario.
(Graph is in the image below)

A) How much money does Adam deposit each week?

B) How did you determine the answer?

C) Use an alternate strategy to determine the amount of money Adam deposits each week.

Answers

Adam's weekly money deposit is a linear relation with a slope of $6 per week.

A) Money deposited by Adam each week is $6.

B) The answer can be determined by observing the graph provided to us, in which the point representing 1 week on the x-axis is intersected by the point representing $6 on the y-axis. This helps us determine that Adam's weekly deposit is $6.

C) An alternative strategy of calculating the slope can be used.

The slope can be calculated in the following way:

m = (y₂ - y₁)/(x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are two points on the line.

Thus slope of this line can be calculated as,

m = (12 - 6)/(2 - 1) = 6/1 = 6 {Since, the line passes through the points (2, 12) and (1, 6)}.

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The law of ______ returns states that as successive units of a variable resource are added to a fixed resource, beyond some point, the marginal product will decline. Read the excerpt from Alice in Wonderland by Alice Gerstenberg. Which two descriptions capture the Caterpillars character?(Is a garden of high, very conventional and artificial looking flowers. On a large mushroom sits the Caterpillar smoking a hookah. Alice is whirling about trying to get her equilibrium after her fall. She goes to the mushroom timidly and, conscious of her size, for her chin reaches the top of the mushroom, she gazes at the Caterpillar wonderingly. He looks at her lazily and speaks in a languid voice.)CATERPILLAR: Who are you?ALICE: II hardly know, sir, just at present. The Queen frightened me so and Ive had an awfully funny fall down a tunnel or a sort of well. At least I know who I was when I got up this morning, but I think I must have been changed several times since then.CATERPILLAR: What do you mean by that? Explain yourself.ALICE: I cant explain myself, Im afraid, Sir, because Im not myself, you see. Being so many different sizes in a day is very confusing.CATERPILLAR: You! Who are you?ALICE: I think you ought to tell me who you are, first.CATERPILLAR: Why?(As Alice turns away.)1. The Caterpillar is humorous.2. The Caterpillar is very serious.3. The Caterpillar is rude.4. The Caterpillar is distracted.5. The Caterpillar is kind. Question 6 of 10What is the solution to this equation?2x+6=20A. x = 13B. x = 7C. x = 52OD. x=28 Maintaining a record of incidents and corrective actions related to infections is assigned under Final Rules to: what is the frequency of a photon with an energy of 4.56 x 10-19J? On a coordinate plane, parallelogram A B C D is shown. Point A is at (negative 3, negative 1), point B is at (7, 9), point C is at (8, negative 1), and point D is at (negative 2, negative 11). Create a rectangle around the parallelogram. The dimensions of this rectangle are 11 by 20 . Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is square units. Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is square units. A Eureka can of mass 60g and cross sectional area of 60 square centimeters is fillied with water of density 1g/ cubic centimeters. A piece of steel of mass 20g and density 8g/ cubic centimeters is lowered carefully into the can. (a) Calculate the total mass of water and the Eureka Can before the metal was lowered. (b) Calculate the volume of the water that overflowed. (c) Calculate the final mass of the Eureka Can and its contents. An 8-cylinder Crown Victoria gives 18 miles per gallon in city driving and 21 miles per gallon in highway driving. A 300-mile trip required 15.5 gallons of gasoline. How many whole miles were driven in the city? the list of issues from the three estates in France where do you see the agreement I'm extremely bad at doing these How many integers n satisfy both of the inequalities 4n + 3 < 25 and -7n + 5 < 24? Should you go to bed after drinking for less than two hours? Darryl just received his credit scores from the three major credit bureaus. his experian score is 719, his equifax score is 741, and his transunion score is 780. what is his mean credit score? (round to the nearest whole point, if applicable.) a. 719 b. 741 c. 760 d. 747 please select the best answer from the choices provided a b c what is trOOP when it comes to Medicare Which of the following fossils would a scientist most likely find in the Petrified Forest? A. a small reptile from the Triassic PeriodB. an insect from the Cambrian PeriodC. a flowering plant from the Paleozoic EraD. None of these choices are correct. Brainlyest to first correct. Report to incorrect Add.(5x^4+6x^343)+(6x^5x^2+12x+12)Express the answer in standard form.Enter your answer in the box. An employer-sponsored medical plan that allows each employee to have pretax earnings deposited into a specially designated account for the purposes of paying specific types of expenses is called a Question 46 options: flexible spending account. medical emergency account. medical contingency account. pre-tax contingency account. None of these. BRAINLIEST, URGENT!!Victoria dropped a basketball off the top of a building. Each time the basketball hit the ground, it bounced upward one-half the height that it fell. Victoria initially dropped the basketball from a distance of 60.0 feet above the ground. What was its maximum height above the ground, in feet, between the third and fourth time it hit the ground? Find the maximum and minimum values of the function g() 5-9sin() on the interval [0, ] Minimum value = Maximum value = Find the area of the figure to the nearest square unit 3 cm and 8 cm