What is the solution to the equation below?

What Is The Solution To The Equation Below?

Answers

Answer 1

Answer:

[tex]\frac{38}{7}[/tex]

Step-by-step explanation:

Using the properties of logarithms,

[tex]\log(7)+\log(x-4)=1\\\log(7(x-4))=1\\\log(7x-28)[/tex]

Now think about what this is asking. The log function say 10 to the power of whats on the other side of the equals sign, equals whats in the parenthesis. So, this means whats is the parenthesis is equal to [tex]10^1[/tex] or just 10.

We can now solve to x.

[tex]7x-28 = 10\\7x=38\\x=\frac{38}{7}[/tex]

Answer 2

Answer:

x=38/7

Step-by-step explanation:

Just took the test


Related Questions

Staci has seven more cats than Taylor. Write an expression that illustrates how many cats Staci has.Use x to represents the number of cats that Taylor has.

Answers

Answer: x+7

Step-by-step explanation:

Taylor has x number of cats. Because we do not know how many cats they have combined, or the number of cats Taylor has, we can only simplify it to x+7. Therefore, x+7= the number of Staci's cats. Hope that helps! :)

If 5 + x = 12, and you add -5 to the left side of the equation, what should you add to the right side of the equation?

Answers

Answer: You must subtract 5 from 12.

Step-by-step explanation:

When solving a one step equation such as this one where you are trying to find x, you must subtract 5 from both sides of the equation. You have to subtract because there is a plus sign: 5 + x = 12

If instead there was a minus sign, you would ADD 5 to both sides. Since it is a plus sign, subtract 5 from 5 and from 12. You then get 7. X=7.

Hope this helped :)

Answer: -5

Step-by-step explanation:

5 + x = 12

-5        -5

________

x = 7

Which can be multiplied?

Answers

Answer:

  B)  BD

Step-by-step explanation:

The number of columns of the first matrix (2nd dimension) must match the number of rows of the second matrix (1st dimension). When you write the dimensions together, the two middle numbers must be the same.

AB ⇒ (3x2) × (3x5) . . . . 2 ≠ 3, so cannot be multiplied

BD ⇒ (3x5) × (5x7) . . . . 5 = 5, so can be multiplied

CD ⇒ (2x3) × (5x7) . . . . 3 ≠ 5, so cannot be multiplied

DD ⇒ (3x5) × (3x5) . . . . 3 ≠ 5, so cannot be multiplied

A delivery man earns $350 per week. He also earns 15% commission on any sales he makes. The function E(s) = 350+0.15s relates his sales, s, to his total weekly earnings, E(s). What were his sales, in dollars, the week he earned $432.50?

Answers

Answer:

$550

Step-by-step explanation:

You need the equation E(s) = 350 + 0.15s, where E(s) represent his total weekly earnings.

If he earned $432.50 this means E(s) = 432.50 and you can write it as:

350 + 0.15s = 432.50 and this is the equation we need to solve

You need to substract 350 on both sides of the equation

350 - 350 +0.15 s = 432.50 - 350

And we get

0.15s = 82.5

Then we divide both sides of the equation by 0.15

0.15s/0.15 = 82.5/0.15

And we get s = 550.

Use the graphs of f(x) = 2
x
and g(x) = 1
-3-x
to determine the solutions to f(x) = g(x).

Answers

Answer:

A

Step-by-step explanation:

The solution to f(x) = g(x) occurs where the two graphs cross.  That's at the point (-2, -1).

Answer A.

Final answer:

To find where f(x) = g(x), set the two functions equal to each other and solve for 'x'. After some mathematical simplification and operations on both sides of the equation, we find that the solution is x = -1/9.

Explanation:

In mathematics, to find the solution for f(x) = g(x), you need to set the two equations equal to each other and solve for x. Here, we have f(x) = 2x and g(x) = 1/-3-x. Setting these two equations equal gives 2x = 1/-3-x.

To solve this equation, first, let's simplify the right hand side by multiplying both sides by -1 to make it easier to solve. Now the equation is -2x = 1/3+x.

Subtracting 'x' from both sides of the equation gives -3x = 1/3. Divide by -3 to solve for x so, x = -1/9. So, the solution for the equation f(x) = g(x) is x = -1/9.

Learn more about solving equations here:

https://brainly.com/question/17595716

#SPJ2

Please Help!!! What is the true solution to the equation below? 2log3(6x)-log3(4x)=2log3(x+2)

Answers

Answer:

  x = 1 and x = 4

Step-by-step explanation:

A graph of the given equation, after rewriting to make the solutions be zeros of the function, shows the solutions to be x = 1 and x = 4.

You can take the antilog and solve the quadratic:

  log3((6x)^2/(4x)) = log3((x+2)^2) . . . . consolidate the logs

  9x = (x +2)^2 . . . . simplify and take the antilog

  0 = x^2 -5x +4 . . . subtract 9x

  0 = (x -4)(x -1) . . . . factor

Solutions are x = 1 and x = 4. (These values make the factors zero.)

Answer:

c on edge

Step-by-step explanation:

HELPPPP What is the volume of the square pyramid? Use Pythagorean’s Theorem to find the height of the pyramid

Answers

Answer: 4,111.7 mm³

Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

[tex]V=\frac{s^2h}{3}[/tex]

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.

Find the height with the Pythagorean Theorem:

[tex]a^2=b^2+c^2[/tex]

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

[tex]a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h[/tex]

Then, you can find the height:

[tex](26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm[/tex]

Then, knowing that:

[tex]s=23mm\\h=23.318mm[/tex]

You can calculate the volume:

 [tex]V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3[/tex]

Jackie can 150 meters
every minute. She is
training for a track
meet. She ran 500
meters during a warm
up. Write a function
that represents how
many meters Jackie
can runs in total at any
given minute. Then
determine how many
meters she runs after
12 minutes

Answers

Answer:

1800 meters

Step-by-step explanation:

The function is for every minute represented by X 150 meters is completed...or

x(150m)

To find 12 minutes you replace the x with 12

12(150m)=1800 meters

Final answer:

The function that represents how many meters Jackie can run is: 'y = 150*x + 500'. After 12 minutes, Jackie can run 2300 meters.

Explanation:

The problem is basically describing a linear relationship between the minutes Jackie trains and the total distance she covers. The function can be represented by the equation: y = mx + c. In this context, 'y' represents the total distance run, 'm' represents the speed (150 meters/minute), 'x' represents time (minutes), and 'c' is the initial distance covered (500 meters).

So the function will be: y = 150*x + 500.

To find out how much Jackie run after 12 minutes, substitute 12 for 'x' in the equation: y = 150*12 + 500. After doing the calculations, we see that Jackie can run 2300 meters in 12 minutes.

Learn more about Linear Function here:

https://brainly.com/question/31353350

#SPJ2

What is mCE?

A.9
B.9.6
C.10
D.9.4

Answers

Answer:

B

Step-by-step explanation:

Triangle ABD and triangle ACE are similar.  So we can write a proportion:

AB / BD = AC / CE

5 / 4 = 12 / CE

CE = 9.6

The measure of side CE will be 9.6. Then the correct option is B.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle ΔABD and triangle ΔACE are similar. Then we have

AB / AC = BD / CE

   5 / 12 = 4 / CE

       CE = 9.6

Then the measure of side CE will be 9.6.

Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations.

What is the survey’s margin of error?

Answers

As far as I can tell, the definition of margin of error involves more than you're given in this exercise (for example, you should know how many people were surveyed, the standard deviation, etc etc).

So, I assume that you're looking for a "simplified" interpretation of the margin of error: the estimate are around 80%, with a margin of 4% up or down.

So, you would be claiming that 80% of people is satisfied, with a margin of uncertainty of 4% (so it can be a minimum of 80-4=76 and a maximum of 80+4=84)

Three cities, A, B, and C, are located so that city A is due east of city B. If city C is located 35° west of north from city B and is 100 miles from city A and 70 miles from city B, how far is city A from city B?

Answers

Answer:

41.776756 miles

Step-by-step explanation:

Using trigonometry and the Law of Cosines, we find that the distance between city A and city B is approximately 122.47 miles.

The question involves using trigonometry to solve for distances between points in a coordinate system, which represents cities in this context. To determine how far city A is from city B given that city C is 35° west of north from city B and specific distances from cities A and B, we can set up a right-angled triangle between the cities.

First, we calculate the angle formed at city B using the information provided about city C's angle. Since city C is 35° west of north and city A is due east of city B, the angle between cities A, B, and C is 180° - 35° = 145°.

We now have a triangle with cities A, B, and C forming the vertices and the following information: side BC (70 miles), side CA (100 miles), and angle BAC (145°). We can solve for the distance between city A and B using the Law of Cosines:

c² = a² + b² - 2ab×cos(C), where c is the side opposite the angle C and a and b are the other two sides.

The distance between cities A and B (side c) is therefore calculated as:

c = √(70² + 100² - 2×70×100×cos(145°))

After calculation, we find that the distance between city A and city B is approximately 122.47 miles.

PLEASE HELP BRAINLY AND MAX POINTS!!!
You bought a car that was 25,500 dollars and the value depreciates by 4.5% each year. How much would the car be worth after 5 years? Be sure to give the equation and the answer.

Answers

Answer:

19,262.5

Step-by-step explanation:

If the car decreases by 4.5% eah year for 5 years-

4.5 x 5 = 22.5%

So after 5 years, the car would be 22.5% cheaper.

22.5% of 25,000 is multiplication-

.225 x 25,000 = 19,262.5

hope this helps!

The probability that a fair coin tossed 10 times will land heads up on all ten tosses is 1 out of ____.

A.)2
B.)10
C.)210

Answers

Answer:

10

Step-by-step explanation:

because tossed 10 times so it would be 1 out of 10

Answer:

The answer is B

Step-by-step explanation:

Katie has a job planting shrubs beside the highway. She needs to plant 500 shrubs in a week. So far, She has planted this many: Monday 84 Tuesday 92 Wednesday 87 Thursday 104 How many shrubs does Katie need to plant on Friday?

Answers

ANSWER: Katie Must Plant 133 Shrubs On Friday.

First, We Know That Katie Needs To Plant 500 Shrubs In A Week. So Then, We Add Up 104+87+92+84 And When We Add Those Numbers Up, We Get How Many Shrubs She Has Planted On Monday Tuesday Wednesday And Thursday. To Find Out How Many Plants She Needs To Plant On Friday, Subtract 367 From 500 And You Get 133.

What would be the maximum value of the function for the graph shown if we consider the graph to be a cosine function of the form y = a cos (x - c)?

0

2

-4

-2

Answers

Answer:

2

Step-by-step explanation:

The maximum value is the amplitude. Looking at graph, it would be the highest point in the graph.

Each unit of the graph is 2 units, hence the maximum value, clearly looking at the graph, would be y = 2. Also the minimum value is y = -2.

So, the maximum value is 2

A firework is thrown from the top of a hill. The distance, in feet, between the rock and the ground x seconds after it's set off is given by h(t)=-8^2t + 48t + 56. What is the height of the hill where the rocket is set off?

Answers

so you first at the two numbers then you at the number to go out with a second then you keep doing that until you get into you don't have no more to answer so thank you

Let D = {x| x is a student} be the domain, and let ƒ(x) = “date of birth” be the possible function. Determine if the relation is an example of a function.

Answers

It is.

The function is just another way of saying to transfer something from domain A to domain B.

[tex]f(x)=y:A\longrightarrow B; x\in A, y\in B[/tex]

Now your function states:

[tex]D=\{x\} \\

f(x)=y: D\longrightarrow E; x\in D, y\in E[/tex]

50 POINTS!!!

Find the area of the segment of circle C shown in the diagram above.

Answers

B.the area =9.76u^2 the area of the sector =1/2 x r^2 x (the angle in radian -sin(the same angle in degrees)

Answer:

B. 9.76 u²

Step-by-step explanation:

First calculate the area of the 60° wedge of the circle by calculating the area of the full circle and multiplying it by a fraction of 60°/360°:

[tex]A_{ABC}=\frac{60}{360}*\pi *r^{2}\\A_{ABC}=\frac{60}{360}*\pi *(6\sqrt{3})^{2}\\A_{ABC}=56.54[/tex]

Now calculate the the area of the white triangle in the wedge, by using a base length of [tex]3\sqrt{2}[/tex], and height:

[tex]h=\sqrt{(6\sqrt{3})^{2}-(3\sqrt{3})^{2}} \\h=9[/tex]

[tex]A_{TRI}=\frac{1}{2}*9*6\sqrt{3} \\A_{TRI}=27\sqrt{3} \\A_{TRI}=46.78[/tex]

Find the area of the red segment:

[tex]A_{ABC} -A_{TRI}\\=56.54-46.78\\=9.76[/tex]

Express the quotient in simplest form

Answers

i believe the answer is a

Answer:

answer : D

Step-by-step explanation:

QUICK!

what is the probability that George will draw a blue marble from a container that contains 6 red, 4 blue, 3 yellow and 5 green marbles?

1/3

1/6

2/9

5/18

Answers

Answer is 2/9.

You have 18 marbles in total. You also have 4 blue marbles. 4/18 divided by 2 is 2/9. Therefore 2/9 is the correct answer.

Your answer is C) 2/9

Hope this helps chu fellow kpop fan XD

☆ Dont forget to mark brainliest ☆

SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!

Answers

Remember to be mindful of the signs when adding and subtracting. The answer is:11w^4-5w^2z^2-4z^4

The total cost of 5 boxes of pasta is $13.00. There are 12 ounces of pasta in each box. Each box of pasta costs the same amount. What is the maximum number of boxes that can be purchased with $65.00?

Answers

Answer: 25 boxes of pasta

Step-by-step explanation:

$13 / 5 = $2.60

$65 / $2.60 = 25

LMN = QPR


What is the value of x in degrees?


Answers

Answer:

x = 72 degrees

Step-by-step explanation:

If triangle LMN = triangle QPR, that means:

- angle L (x) equals angle Q

- angle M equals angle P

- angle N equals angle R

We know angle Q equals 72 degrees and we know angle Q equals angle L. Since angle L is the "x" we are looking for, we know that x = 72 degrees.

Can someone please explain this problem step by step? Thank you sooooooooooooo much!

Answers

Explanation:

Use the Pythagorean identity, cancel common factors, and divide numerator and denominator by cos(x). Equivalently, multiply numerator and denominator by sec(x).

[tex]\dfrac{\sin^2{x}+2\cos{x}-1}{\sin^2{x}+3\cos{x}-3}=\dfrac{1-\cos^2{x}+2\cos{x}-1}{1-\cos^2{x}+3\cos{x}-3} \qquad\text{replace $\sin^2$ with $1-\cos^2$}\\\\=\dfrac{\cos{x}(2-\cos{x})}{(\cos{x}-1)(2-\cos{x})}=\dfrac{\cos{x}}{\cos{x}-1}=\dfrac{1}{\dfrac{\cos{x}}{\cos{x}}-\dfrac{1}{\cos{x}}}=\dfrac{1}{1-\sec{x}}[/tex]


What is the area of the figure?
What is the area of the figure?

Answers

Answer:

the answer 43.5 units²

Step-by-step explanation:

i took this in school and remember it hope it helped

1. The area of the figure is 42 units².

2. The area of the figure is 38 units²

The area of a figure is the extent of its 2D space, quantifying the region it occupies.

It's calculated using specific formulas based on the figure's geometric properties, such as length, width, and shape.

1. The figure can be splitted into 3

Area1 = 1/2bh

= 1/2 × 7 × 2

= 7units²

Area 2 = l × w

= 7 × 4 = 28 units²

Area 3 = 1/2bh

= 1/2 × 7 × 2

= 7 units²

Area of figure = 28+7+7

= 42 units²

2. The shape can be divided into a trapezoid and two equal triangles

area of Trapezoid = 1/2(a+b)h

= 1/2 ( 3+5)8

= 8 × 4

= 32 units²

area of triangle = 1/2bh

= 1/2 × 3 × 4

= 6 units²

area of the figure = 32 + 6

= 38 units²

Triangle ABC is congruent to triangle DEF .


Which statement must be true about the triangles?


BC = DE


m∠A=m∠D


m∠B=m∠F


AC = EF

Answers

Answer:

[tex]\boxed{m\angle A = m\angle D}\\[/tex]

Step-by-step explanation:

When you use a congruence statement, you must line up the corresponding parts of the triangles.

BC = DE is wrong, because BC = EF.

[tex]\boxed{m \angle A = m \angle D}[/tex] is correct.

m∠B = m∠F is wrong, because m∠B = m∠E.

AC = EF is wrong, because AC = DF

Triangle ABC is congruent to triangle DEF.m∠A=m∠D must be true about the triangles. Option B is correct.

What is the triangle?

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

Triangle DEF and triangle ABC are congruent. The following assertion concerning triangles must be true:

m∠A=m∠D

Hence, statement B is correct.

To learn more about the triangle, refer to:

https://brainly.com/question/2773823

#SPJ2

Find the perimeter of this figure to the nearest tenth. Use 3.1 to approximate

Answers

Since the diameter and height of both shapes are the same, we know that the equation to solve for the semi circle is:

πr = 3.1*8 = 24.8

16 + 20 = 36

36 + 24.8 = 60.8

The perimeter of the shape is 60.8 ft




Three ships are at sea: the Admiral, the Barstow, and the Cauldrew. The crew on the Admiral can see both the Barstow and the Cauldrew. They measure the angle between the line of sight to the Barstow and the line of sight to the Cauldrew as 31°. They radio the Barstow and by comparing known landmarks, find that the distance between the Admiral and the Barstow is 402 meters. The Barstow reports that an angle of 70° is found between their line of sight to the Admiral and their line of sight to the Cauldrew. To the nearest meter, what is the distance between the Barstow and the Cauldrew?

38 meters

211 meters

220 meters

133 meters

Answers

Answer:

I am very disappointed in you. I give you extra credit to try and help your grade and you cheat? Please come and see me tomorrow about what you are doing.

Step-by-step explanation:

Answer:

211 meters

Step-by-step explanation:

Let A represents the Admiral, B represents the Barstow and C represents the Cauldrew.

According to the question,

AB = 402,

∠B = 70°,

∠A = 31°,

∵ ∠B + ∠A + ∠C = 180° ⇒ 70° + 31° + ∠C = 180° ⇒ ∠C = 180° - 101° = 79°

By the law of sine,

[tex]\frac{sin C}{AB}=\frac{sin A}{ BC}[/tex]

By substituting the values,

[tex]\frac{sin 79^{\circ}}{402}=\frac{sin 31^{\circ}}{BC}[/tex]

By cross multiplication,

[tex]BC\times sin 79^{\circ} = 402\times sin 31^{\circ}[/tex]

[tex]\implies BC = \frac{ 402\times sin 31^{\circ}}{sin 79^{\circ}}=210.92050995\approx 211[/tex]

Hence, the distance between the Barstow and the Cauldrew is 211 meters ( approx )

Second option is correct.

If a=22.3 and B=47°18’ find c (picture provided)

Answers

Answer:

d. 32.9

Step-by-step explanation:

To find c, we'll use the Law of Sines that says:

[tex]\frac{a}{sin(A)} = \frac{c}{sin(C)}[/tex]

And we'll isolate a to get:

[tex]c = \frac{sin(C) * a}{sin(A)}[/tex]

We first need to find A, which is easy.  The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:

A = 180 - 90 - 47.3 = 42.7

(converted 47°18' to 47.3)

Then we will plug-in the information we already have

[tex]c = \frac{sin(90) * 22.3}{sin(42.7)} = 32.88[/tex]

So, let's round it to 32.9 to match the answer number D.

Answer:

D, 32.9

Step-by-step explanation:

According to the general equation for conditional probability, if (image attached)

A. 2/3
B. 1/3
C. 1/6
D/ 5/6

Answers

Answer:

Option B

[tex]P(A|B') = \frac{1}{3}[/tex]

Step-by-step explanation:

If B 'is the complement of B then [tex]P(B') = P({\displaystyle {\overline {B}}})=1-P(B) = \frac{2}{3}[/tex]

In a probabilistic experiment, when two events A and B are dependent on each other, then the probability of occurrence A since B occurs is:

[tex]P(A|B') = \frac{P(A\ and\ B)}{P(B')}[/tex]

Then if [tex]P(A\ and\ B) = \frac{2}{9}[/tex] and [tex]P(B') = \frac{2}{3}[/tex]

[tex]P(A|B') = \frac{\frac{2}{9}}{\frac{2}{3}}\\\\P(A|B') = \frac{1}{3}[/tex]

Answer:

The correct answer option is B. 1/3.

Step-by-step explanation:

We are given that P (A ∩ B') = 2/9 and P (B') = 1/3 and we are to find P (A | B').

We also know that the formula of conditional probability is given by:

P (A | B') = P (A ∩ B') / P (B)

So substituting the given values in the formula above to get the value of P (A | B'):

P (A | B') = [tex] \frac { \frac { 2 } { 9 } } { \frac { 1 } { 3 } } = \frac { 2 } { 9 } \times \frac { 3 } { 1 } [/tex] = 1/3

Other Questions
What is ATP and cartiac arrest? Use the formula d=rt to find the distance traveled by a car driving at an average speed of 65 miles per hour for 4.5 hours. How far would you travel? A. 144.5 miles B. 292.5 miles C. 325 miles D. 487 miles The following frequency table shows the number of players on the Russian Bears volleyball team that have beeninjured for each match this year.Number of injured playersNumber of matchesFind the median number of injured players. Help me please if you horizontally shift the square root parent function, F(x) = [tex]\sqrt{x}[/tex], left four units, what is the equation of the new function? A snail was observed to have moved a distance of 0.5 meters in 2 hours. What rate of movement was observed in this experiment 2) The price of one nation's currency in terms of another nation's currency is calledA)fiscal policy.B)monetary policy.C)the exchange rate.D)the discount rate. Who composed The Barber of Seville? What is the sum of of the odd numbers from 101 to 299? A vast number of were built throughout Europe during the period. The Philippines are east of Vietnam.True or False? what is the primary function of the upper respiratory system? a)to move air toward the lungs while warming, moistening, and filtering itb) to diffuse oxygen and carbon dioxide in and out of the cellsc) to absorb and break down nutrients after they are consumed d) to pad the head with the air pockets to protect against brain trauma. In which medium do the waves travel with the greatest velocity? *A medium with a frequency of 4 Hz and a wavelength of 3.5 mA medium with a frequency of 3 Hz and a wavelength of 5 mA medium with a frequency of 4 Hz and a wavelength of 3 mA medium with a frequency of 5 Hz and a wavelength of 2 m This is a tiny fluid-filled cavity in the cytoplasm. It can be used for storage of biochemicals. how can class distinction lead to revolution Which of the following applies to American society in the 1920s What is the slope of the line described by the data in the table below?A 2/5B 2/3C 5/4D 5/2 Jeremy tells his friends and colleagues that he is suffering from a serious neurological condition. he often fakes the symptom of his feigned illness purely to draw attention to himself and to maintain the sick role. jeremy, who is obsessed with the pursuit of medical care, is most likely to suffer from A student has three puzzles each puzzle has 1250 pieces what is the total number of pieces in the puzzles What nuclear reaction is the energy source of a white dwarf? What happens when a bank is required to hold more money in reserve?