Maria wrote the equation log (startfraction x over 2 endfraction) log (startfraction 20 over x squared endfraction) = log 8 what is the solution to maria’s equation?

Answers

Answer 1

The solution to maria’s equation [tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex] by using the properties of the logarithm is 5/4.

What is a logarithm?

A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.

It is given that

[tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex]

Using properties of a logarithm, we get

[tex]\rm log x + log y=logxy[/tex]

[tex]\rm log[\frac{x}{2} \times\frac{20}{x^{2} }] = log8\\\rm log[\frac{10}{x}] = log8[/tex]

on comparing

10/x = 8

x = 10/8

x = 5/4

Hence, the solution to maria’s equation [tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex] is 5/4.

Learn more about logarithm;

https://brainly.com/question/20785664

Answer 2

Answer:

C

Step-by-step explanation:

C) 5/4


Related Questions

I need help rn.................

Answers

Answer:

Alex has £44

Pierre has £66

Step-by-step explanation:

P = A + 20

P+ 22 = 2A

solve for A

plug in p

(A + 20) + 22 = 2A

A + 44 = 2A

subtract A from both sides

44 = A

solve for P

plug A in

P = 44 +22

P = 66

Pls give brainlyist


which table of inputs values, x, and output values, y, represents functions
select each answer​

Answers


2|93|??|8Multiple choiceA. X=2,y=6B.x=3,y=9C.x=1,y=7D.x=4,y=8

Find the volume of the figure. If necessary, round your answer to the nearest tenth.

Answer choice
A: 441 cm^3
B: 220 cm^3
C: 73.5 cm^3

Answers

Answer:

220 cm^3

Step-by-step explanation:

volume = 1/2(10.5)(6)(7)

volume = 220.5 cm^3

The scores of an eighth-grade math test have a normal distribution with a mean mu = 83 and a standard deviation sigma = 5. if din’s test score was 92, which expression would she write to find the z-score of her test score? z = startfraction 92 minus 83 over 83 endfraction z = startfraction 83 minus 92 over 5 endfraction z = startfraction 92 minus 83 over 5 endfraction z = startfraction 5 minus 83 over 92 endfraction

Answers

The z-score is the ratio of the difference of sample and means to the standard deviation. Then the correct option is A.

What is a z-score?

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The scores of an eighth-grade math test have a normal distribution with a mean of 83 and a standard deviation of 5. If the x is 92. Then the test score will be

The z-score will be given as

[tex]z = \dfrac{x - \mu}{\sigma }\\\\z = \dfrac{92 - 83 }{5}[/tex]

More about the z-score link is given below.

https://brainly.com/question/15016913

Answer:

A

Step-by-step explanation:

edge 2022

NEED HELP ASAP!! 5TH GRADE MATH, WILL GIVE BRAINLIEST!!!

Answers

Answer:

14,880: So yes, it will be greater than 12400.

Step-by-step explanation:

Because you can simplify the fraction from 1 1/5 to 6/5, and 6/5 is equal to 1.2, simply multiply 12400 by 1.2, which would get you 14800. In other words, if it was multiplying by a number less than 1.2, then it would be less than 12400.

Hope this helps!

The points scored by a basketball team in its last 6 games
are shown. Use these data for 7 and 8.
Which measure better describes the typical number of points scored?
Explain.
(Points scored= 73,77,85,84,37,115)

Answers

Answer:

73+78+85+84+37+115 because you will add all point scored by the last 6games =471

I need help with Function Operations

Answers

Answer:

490

Step-by-step explanation:

d(x)=700-7(30)

7x 30=210

700-210=490

therefore,

r(x)=490

PLEASE HELP
A group of friends wants to go to the amusement park. They have $272 to spend on parking and admission. Parking is $7.75, and tickets cost $37.75 per person, including tax. How many people can go to the amusement park?

Answers

Answer:

7 people

Step-by-step explanation:

Given:

$272 total money for all friends

parking costs $7.75 for all

tickets cost $37.75 per person

Solution;

Take away the money for parking to see how much money we have left for tickets

272 - 7.72 = $ 264.25

We divide the $264.25 to the price of 1 ticket $37.75 to see how many tickets we have money for

264.25 / 37.75 = 7

If we have money for 7 tickets then 7 friends can go to the amusement park.

Find the surface area of a cylinder with radius 2 yards and height 6 yards.
Give me the answer

Answers

The answer is 100.53 yards.


NEED HELP ASAPPP !!!

Answers

Answer:

I believe D is the correct answer

the area of a square is 32 cm. find the length of the diagonal

Answers

Answer:

8 cm

Step-by-step explanation:

Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.

Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)

(√32)² + (√32)² = c²

(note: the square and the square root cancel out)

32 + 32 = 64

c² = 64 ∴ c = √64 which is 8

Hope this helps!

Answer:

The length of the diagonal is 8 cm.

Step-by-step explanation:

The side length of the square is √32 cms.

The diagonal divide the square into 2 congruent right triangles.

We use Pythagoras Theorem here:

d^2 = (√32)^2 +  (√32)^2

d^2 = 32 + 32 = 64

d = √64 = 8.

John goes to a restaurant and has a bill of $32.57 He uses a 10% coupon on the cost of the meal. The taxis 8%. He leaves a tip of 18% on the amount before the coupon or tax is applied. How much does he spend.​

Answers

$37.52

I know it seems close, but the coupon doesn't do much when you repay a total of 18% before the coupon.

Please help . Giving brainliest. Only question NUMBER 5 .

Answers

Answer:

48.8

Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are

π= 3.14

r²= 6.76  

h=2.3

3.14*6.76*2.3=48.82072

rounded to the nearest tenth=48.8

Hope this helps you!

Mark me brainleast!!!!!

what is an equation of the line that passes through the points (3,0) and (-6,-3)

Answers

Step-by-step explanation:

given ponts,

(3,0)=(x1,y1)

(-6,-3)=(x2,y2)

we know,

Eqn of any line joining two points be,

(y-y1)={(y2-y1)/(x2-x1)}*(x-x1)

y-0={(-3-0)/(-6-3)}*(x-3)

y=(1/3)*(x-3)

y=(x-3)/3

3y=x-3

0=x-3y-3

x-3y-3=0

Therefore it is required eqn

Mathematics
20. A teacher drew an area model to find the value of 6,986 +8.
Teacher's Model for 6,986 +8
R
Р
N
800
Q
8
560
M
UNIZ
not to scale
• Determine the number that each letter in the model represents and explain
each of your answers.
• Write the quotient and remainder for 6,986 + 8.
Explain how to use multiplication to check that the quotient is correct. You
may show your work in your explanation.
Enter your answers and your explanations in the space provided.
.

Answers

Hey I don’t know the answer I hope you get it wanted to say that you are loved and Jesus loves you he has not forgotten about you and he loves you ! Hope you had a amazing weekend you have a purpose and you have worth ! You are loved !

Answer this question
And I give you stars in return :-) ​

Answers

Answer: 48/44

Step-by-step explanation: if the area is 144 the perimeter is going to be 48. if the area is 121 the perimeter is 44. to find the perimeter you have to find the sides, since it is a square they will all be the same length. you have to find the square of the area since the formula for it is lw. then once you find the length of each side, you multiply it by 4 to find the perimeter. then to find the other question multiply the permimeter by 5.

area of square: side²

=======

side² = 121

side = √121

side = 11 cm

====

perimeter of square:

4(side)4(11)44 cm

ii)

total distance she ran = perimeter of square * 5

distance  =  44 * 5

distance = 220 cm

An orange cone has a exact volume of 120π ft³. What is the height of the cone if the radius is 6ft?

Answers

Answer:

10 ft

Step-by-step explanation:

Given:

Radius ⇒ 6 feetFormula of cone ⇒ V = 1/3πr²h

Plug in the values given:

120π=1/3π(6²)h

Cancel π from both sides and simplify:

120 = 1/3 36h120 = 12h

Answer:

Height = 10

The height of the cone if the radius is 6ft is,

⇒ h = 3.18 feet

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

An orange cone has a exact volume of 120π ft³.

And, The radius = 6 feet

Now, We know that;

Volume of cone = πr²h/ 3

Hence, We get;

⇒ 120 = 3.14 × 6² × h / 3

⇒ 120 = 3.14 × 12h

⇒ 120 = 37.68h

⇒ h = 3.18 feet

Thus, The height of the cone if the radius is 6ft is,

⇒ h = 3.18 feet

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Which function is graphed below?

Answers

Answer:

The function y =f (x) is graphed below. Plot a line segment connecting the points on f where x = -9 and x = -3. Use the line segment to determine the average rate of change of the function f (x) on the interval -9 <x <-3?

Step-by-step explanation:

I am not sure where or what you are talking about?

help, A or B! pic is below

Answers

Answer:

I think b

Step-by-step explanation:

factories
Need fast

Answers

Answer:
Factor x^8+x^4+1

Rewrite the middle term.
X^8+2x^4.1-x^4+1

Rearrange terms.
x^8+2x^4.1+1 -x^4
Factor first three terms by perfect square rule
(X^4+1)^2-x^4
Rewrite
x^4
as
(X^2)^2
(X^4+1)-(x^2)^2
Since both terms are perfect squares, factor using the difference of squares formula,
a^2-b^2=(a+b)(a-b)
where
a=x^4+1
and
b=x^2

Simplify.
(X^4+1+x^2)(x^4+1-x^2)
Step-by-step explanation:

Have a great day
given:

[tex] {x}^{8} + {x}^{4} + 1[/tex]

to find:

factorise

solution:

[tex] {x}^{8} + {x}^{4} + 1[/tex]

[tex] = x ^{8} + 2 {x}^{4} + 1 - {x}^{4} [/tex]

[tex] = ( {x}^{4} + 1 {)}^{2} - ( {x}^{2} {)}^{2} [/tex]

[tex] = ({x}^{4 } + 1 + {x}^{2}) ( {x}^{4} + 1 - {x}^{2} )[/tex]

[tex] = ( {x}^{4} + 2 {x}^{2} + 1 - {x}^{2} )( {x}^{4} - {x}^{2} + 1)[/tex]

[tex] = (( {x}^{2} + 1 {)}^{2} - {x}^{2} )( {x}^{4} - {x}^{2} + 1)[/tex]

[tex] = ( {x}^{2} + 1 + x)( {x}^{2} + 1 - x)[/tex]

[tex] = ( {x}^{4} - {x}^{2} + 1)[/tex]

What is the exact value of tan 150

Answers

Answer:

-0.5774

Step-by-step explanation:

Tan 150 degrees is the value of tangent trigonometric function for an angle equal to 150 degrees. The value of tan 150° is -1/√3 or -0.5774 (approx).

What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?

A number line goes from negative 5 to 10. Point D is at negative 4 and point F is at 9. A line is drawn from point D to point F.

1
2
3
4

Answers

Answer:

 A)  1

Step-by-step explanation:

We want to find G such that ...

 (G-F)/(D-G) = 8/5

 5(G-F) = 8(D-G)

 5G -5F = 8D-8G . . . . eliminate parentheses

 13G = 8D +5F . . . . . . add 5F +8G to both sides

 G = (8D +5F)/13 . . . . divide by the coefficient of G

 G = (8(-4) +5(9))/13 = (-32 +45)/13 = 13/13

 G = 1 . . . . . . matches choice A

Answer:

A

Step-by-step explanation:

EDGE 22

Solve for x. Leave your answer in simplest radical form.

SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER

Answers

Step-by-step explanation:

REFER TO THE ATTACHMENT!!

can we friends

Can someone please help me asap ill give the most point to whoever answers first and CORRECTLY

Answers

Answer:

y+2 if this is correct can u mark me brainliest?

i need to knoow the anser of 20000+2000

Answers

Answer:

22000 easy but this simple hope it helps

Step-by-step explanation:

what is the mode of the data set 29,22,19,20,29,23,29,19,31

Answers

Answer:

Mean (Average): 21.44444

Median (Middle): 22

Mode (Most Common): 29

Step-by-step explanation:

help me with this question also​

Answers

[tex]\text{Given that,}\\\\[/tex]

[tex]~~~~~~~\cos \theta = \dfrac 89\\\\\\\implies 2\cos^2 \left(\dfrac{\theta}2 \right) -1 = \dfrac 89~~~~~~;\left[1+ \cos 2\theta = 2\cos^2 \theta \right]\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)= \dfrac 89 +1\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)=\dfrac{17}9\\\\\\\implies \cos^2 \left(\dfrac{\theta}2 \right) = \dfrac{17}{18}\\\\\\\implies \cos \left(\dfrac{\theta}2 \right)=\sqrt{\dfrac{17}{18}}~~~~~~~~~~~;\left[\text{Positive value of} ~\cos \left(\dfrac{\theta}2\right) \right][/tex]

[tex]\implies \cos \left(\dfrac{\theta} 2 \right) =\dfrac{\sqrt{17}}{\sqrt{9 \times 2}}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17}}{3\sqrt 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17} \cdot \sqrt 2}{3\cdot 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{34}}{6 }[/tex]

Please help me and please no links or bot me cuz i really need help

Answers

Answer:

hope this helps

Step-by-step explanation:

1) x =3 - S

2) x = 1 - O

3) x = 5 - L

4) x =. I don't understand this one. its 1/2 * 21? = V?

5) x = 10 - E

Find the value of x.

I’m desperate for help

Answers

Answer:

the answer is 24 since 24 x 5 = 120

Step-by-step explanation:

Hope this helps you!

2/3a-1/6=1/3 what is the solution

Answers

Here is your Answer:

3/4

Other Questions
Design an algorithm for computing nfor any positive integer n. Besidesassignment and comparison, your algorithm may only use the four basicarithmetical operations. what's the answer to this write the multipulcation equation you can also use to find 1/3 of 1/5 What is the climax in the Cinderella story?a.Cinderella lived happily ever after with the prince.b.The glass slipper fit perfectly on Cinderellas foot.c.The stepmother flew open the door.d.Cinderellas Who enunciated the inverse square law of electrical attractionA. James Watt B. Robert BoyleC. Joseph Priestly D. James Maxwell Question 5 of 10When gathering information, which of the following tasks might you need toperform?O A. Apply standards, such as measures of quality, beauty, usefulness,or ethicsB. Fill out forms, follow procedures, and apply math and scienceC. Study objects, conduct tests, research written materials, and askquestionsD. Seek out ideas from others and share your own ideas What is the perimeter of this quadrilateral?(5,5)(2, 4)(4, 1)(6, 1) what is financial statement? [tex]4x^{3} + x8x^{2}[/tex]Evaluate What do you think Thomas Edison meant by the word perspiration? How do those words apply to what you've learned about businesses in this lesson? What is the slope of the given line? (Use only whole numbers or fractions to answer)What is the y-intercept of the given line? (Put your answer as the y-intercept point with no spaces) PLEASE PLEASE HELP ME Surgical repair or reconstruction of the breastsA. MammoplastyB. ProteinuriaC. MultiparityD. Uterine prolapseE. Leiomyomas Pls help asap HELP PLSS I NEED TO TURN IN RIGHT NOW!!!!Mr. Foster wants to put a new carpet on the floor of his rectangular playroom. The playroom is 27 ft long and 18 ft wide. He has found an inexpensive carpet that is priced $14 per sq yd. What would be a reasonable price for enough carpet to cover the floor of his playroom? (30 points! pls help) Determine the length of AB. Write your answer in simplest form. 5, 2, 10, x The anwser to this ddd Sara used 6_1/2 packs of pencils in the first 1/2 of the year. At what rate is Sara using pencils?13 packs per year8_1/2 packs per year14 packs per year12_1/2 packs per year The federal government tells the state of Wyoming that they must adopt new standards into their high school classrooms. Wyoming's Department of Education says, "No, the states are in charge of setting their education standards." Which amendment would Wyoming cite? Why? Which of the following was a Roman contribution to art? (1 point) amarble sculpture boil painting cportrait painting dmosaics