1.What values could replace the "?" in these equations to make them true?

2. How would you explain to a friend who doesn't know about logarithms what the equation

LaTeX: \log_{10}x\:=\:y
log
10

x
=
y

says about x and y?

1.What Values Could Replace The "?" In These Equations To Make Them True?2. How Would You Explain To

Answers

Answer 1

Answer:

Remember that logarithms are inverse of exponentials. That means the result of the logarithm is equal to the exponent of a power with the same base.

1. (a)

[tex]log_{10} (10)=1[/tex]

Notice that the result is one beacuse [tex]10^{1}=10[/tex]

(b)

[tex]log_{10}(10000)=4[/tex]

Because [tex]10^{4}=10000[/tex]

(c)

[tex]log_{10}(?) =7 \implies 10^{7} =10000000[/tex]

So, [tex]log_{10}(10000000)=7[/tex]

2.

I would say to thim that [tex]x[/tex] and [tex]y[/tex] are variables of the logarithm, which be solved by imagine the logarithm as an exponential like

[tex]log_{10} (x)=y \implies 10^{y}=x[/tex]

In other words, the [tex]y[/tex] is the exponent and the [tex]x[/tex] is the result of the exponential.


Related Questions

Sasha’s daily tips this work week were $43, $32, $65, $88, $50, and $72. Is Sasha correct in thinking that the mean accurately represents how much money she makes in daily tips? Yes, Sasha is correct. The mean amount she makes is $58.33 in a day. Yes, Sasha is correct. The mean amount she makes is $65.33 in a day. No, Sasha is not correct. The median amount she makes is $53.00 in a day. No, Sasha is not correct. The median amount she makes is $60.00 in a day.

Answers

Answer: $58.33

Step-by-step explanation:

Yes, Sasha is correct. The mean amount she makes is in a day.

Answer:

a: Yes, Sasha is correct. The mean amount she makes is $58.33 in a day

Step-by-step explanation:

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2. What type of angle is ZDBC if it measures exactly 180° and its rays form a straight line?
roofs
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Properties
DESCRIPTION

Answers

Answer:

  straight angle

Step-by-step explanation:

A straight angle is one whose measure is 180°. Its formative rays point in opposite directions from the vertex and make a straight line.

Is -1.27 a rational number

Answers

Answer:

Yes.

Step-by-step explanation:

Answer:

si

Step-by-step explanation:

In the​ past, the mean running time for a certain type of flashlight battery has been 8.6 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result.
The hypotheses​ are:
H0: μ = 8.6 hours
Ha: μ > 8.6 hours
where μ is the mean running time of the new batteries.
Explain the meaning of a Type II error.A. The manufacturer will decide the mean battery life is greater than 8.3 hours when in fact it is greater than 8.3 hours. B. The manufacturer will decide the mean battery life is less than 8.3 hours when in fact it is greater than 8.3 hours. C. The manufacturer will decide the mean battery life is 8.3 hours when in fact it is 8.3 hours. D. The manufacturer will decide the mean battery life is 8.3 hours when in fact it is greater than 8.3 hours. E. The manufacturer will decide the mean battery life is greater than 8.3 hours when in fact it is 8.3 hours.

Answers

Answer:

H0: μ = 8.3 hours

Ha: μ > 8.3 hours

We need to remember that a type of error II if the error associated when we NO reject the null hypothesis when actually the alternative hypothesis is true. And is also known as false negative. The best answer for this case would be:

D. The manufacturer will decide the mean battery life is 8.3 hours when in fact it is greater than 8.3 hours.

Since we are FAILING to reject the null hypothesis when the true mean is actually higher than the value specified

Step-by-step explanation:

For this case we want to determine if mean running time has increased as a result of the new change so then the system of hypothesis are given by:

Note: we assume that the value to check in order to be consistent with the options is 8.3

H0: μ = 8.3 hours

Ha: μ > 8.3 hours

We need to remember that a type of error II if the error associated when we NO reject the null hypothesis when actually the alternative hypothesis is true. And is also known as false negative. The best answer for this case would be:

D. The manufacturer will decide the mean battery life is 8.3 hours when in fact it is greater than 8.3 hours.

Since we are FAILING to reject the null hypothesis when the true mean is actually higher than the value specified

1. Solve the equation using the zero-product property.
-x(5x – 4) = 0

Answers

Answer:

x = 0, 4/5

Step-by-step explanation:

The zero-product property states that if the product of a and b is zero, then either a = 0, b = 0, or both terms equal zero

Here our a term is -x and our b term is (5x - 4)Setting each term equal to zero and solving for x we get-x = 0 → x = 05x - 4 = 0 → 5x = 4 → x = 4/5

What is the equation of the blue line ?

Answers

Rise over run. Or I believe. Like If I chose (-1,2) and (0,-1)  the rise or in this case since the line is going down, if I move down 4 units. I am one unit to the left of (0,-1) so 4/1 so rise/run

The equation of the line is y+2x+1 = 0.

What is equation of line?

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

In the given graph,

Line intersect x-axis at -1/2

And intersect y-axis at -1

The points are (-1/2,0) and (0,-1)

The slope of the line m = -1-0/(0-(-1/2)) = -2

The required equation of the line that passes through the point (-1/2,0) and slope is -2,

y-0 = -2(x-(-1/2))

⇒y=-2x-1

⇒y+2x+1 = 0

The equation of the line is y+2x+1 = 0.

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what happened to www.brainy.com?

Answers

As far as I'm concerned, it still exists

What do you mean becauae nothing happened

Can you help me(×+5) (4x-3)=0

Answers

sry my mistake wrong quesrion

How many ways can the letters be arranged in the word: GLASS

Answers

Answer:

120

Step-by-step explanation:

At a local baseball game, the concession stand has two different meal choices. You can get 5 hotdogs and 4 drinks for $15.50 or you can get 6 hotdogs and 3 drinks for $15.00. If the price of hotdogs and drinks is the same for each meal, find how much it costs for an individual hotdog and an individual drink.
per hordog =
per drink=

Answers

Answer: Hot Dog $1.50 Drinks $2.00

Step-by-step explanation:

Jamie says the value of 1.43 × (− 22 43 ) is close to −0.75. Student A says this estimate is reasonable because the product is negative and about half of 1.5. Student B says you could find the product using a calculator as follows: "Divide −22 by 43, multiply the quotient by 1.43, then round the product to the nearest hundredth." Does student B's approach to find the product justify the claim that Jamie's estimate is reasonable?

Answers

Answer:

Student A says this estimate is reasonable because… Get ... Student A says this estimate is reasonable because the product is negative and about half of 1.5. Student B says you could find the product using a calculator as follows: "Divide −18 by 35, multiply the quotient by 1.43, then round the product

Step-by-step explanation:

calculations with a calculator or computer we need a way of checking that the answers it ... introduce students to this way of thinking and give them practice at estimating simple ... Do they always get the right answer no matter what? Invent a story illustrating a calculator error that you may have made or use the following.

What is the equation of the line that is perpendicular to f(x) and passes through the point (4, –6)? a.4x + 3y = –2 b. 3x + 4y = –12 c.4x – 3y = 34 d.3x – 4y = 36

Answers

Answer:

8

Step-by-step explanation: because its even

The graph of f(x) = x2 was transformed to create the graph of g(x) = (x − 7.5)2. Which of these describes this transformation?

A.
A horizontal shift to the right 7.5 units

B.
A horizontal shift to the left 7.5 units

C.
A vertical shift down 56.25 units

D.
A vertical shift up 56.25 units






































Answers

Answer:

  A.  A horizontal shift to the right 7.5 units

Step-by-step explanation:

Replacing x with x-7.5 shifts the graph 7.5 units to the right.

__

In general, g(x) = f(x-h)+k will shift h units right and k units up. In this problem there is no vertical shift.

It’s about angles use an equation to solve and ABCD?
And what is the measure of RST?

Answers

The answer is C)

Bruh

Answer:

A. 40 degree+ 90 degree = x

The sum of the angles = 130 degree

Step-by-step explanation:

[tex]Given:\:\:\angle RSV = 40\degree,\:\:\angle VST = 90\degree\\\because \angle RSV + \angle VST = \angle RST\\\therefore 40\degree + 90\degree = x[/tex]

x = 130 degree

A circle has an area of 45 square meters. What is the area of a sector with an arc measure of 70°? I need this asap someone help please

Answers

Answer:[tex]8.75\ m^2[/tex]

Step-by-step explanation:

Given

Area of circle is [tex]A=45\ m^2[/tex]

Arc measure [tex]\theta =70^{\circ}[/tex]

and area of sector is given by

[tex]\Rightarrow \frac{\theta }{360^{\circ}}\times \text{Area of circle}[/tex]

[tex]\Rightarrow \frac{70}{360}\times 45[/tex]

[tex]\Rightarrow 0.194\times 45[/tex]

[tex]\Rightarrow 8.75\ m^2[/tex]

So, area of sector is [tex]8.75\ m^2[/tex]

Factor 9x^2+6x+1 completely

Answers

Answer:

[tex](3x+1)^2[/tex]

Step-by-step explanation:

[tex]9x^2+6x+1=\\(3x+1)^2[/tex]

You can confirm this by working and expanding backwards:

[tex](3x+1)^2=\\(3x+1)(3x+1)=\\9x^2+3x+3x+1=\\9x^2+6x+1[/tex]

Hope this helps!

The factorized form of 9x² + 6x + 1 is indeed (3x + 1)².

To find the factorized form of the quadratic expression 9x² + 6x + 1 is (3x + 1)², we can expand the factorized form and compare it with the given expression to check if they are equal.

Expanding (3x + 1)² using the square of a binomial formula, we get:

9x² + 6x + 1

= 9x² + 3x + 3x + 1

= 3x (3x + 1) + 1 (3x + 1)

(3x + 1)² = (3x + 1)(3x + 1)

Comparing the expanded form of (3x + 1)² with the given expression 9x² + 6x + 1, we can see that they are equal.

Therefore, we have found that the factorized form of 9x² + 6x + 1 is indeed (3x + 1)².

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Which values are solutions to the inequality –3x – 4 < 2?

Answers

Answer: x>-2

Step-by-step explanation:

To find the values of the inequality, you treat this like it would be any other equation.

[tex]-3x<6[/tex]

[tex]x>-2[/tex]

__-112=225+125 need help ​

Answers

Answer:

I think it's 462. I'm sry if I'm wrong.

Find an equation for the line perpendicular to the line 3x+2y=−1 3x+2y=−1 having the same y-intercept as 2x+7y=2

Answers

The general form for the equation of a line is:

[tex]y = mx + c[/tex]

Where:

m is the gradient of the line

c is the y intercept of the line  (y - intercept is where the graph crosses the y-axis)

So if you had the following equation:

[tex]y = 3x + 2[/tex]

Then:

m = 3

c = 2

So gradient = 3, and y intercept = 2

---------------------------------------------------

Rearranging

So first rearrange both of the equations in the form y = mx + c :

[tex]3x + 2y = -1[/tex]   becomes  [tex]y = -\frac{3}{2} x-\frac{1}{2}[/tex]      [tex](where: \ m = -\frac{3}{2} \ and, \ c = -\frac{1}{2} )[/tex]

and:

[tex]2x+7y=2[/tex]  becomes  [tex]y=-\frac{2}{7}x +\frac{2}{7}[/tex]     [tex](where: \ m = -\frac{2}{7} \ and, \ c = \frac{2}{7})[/tex]

---------------------------------------------

The question tells us that the equation of the line we are looking for has the same y-intercept as:

[tex]2x+7y=2[/tex]

So the line we are trying to work out will also have a y intercept of   [tex]\frac{2}{7}[/tex]

(refer to rearranging)

----------------------------

The question also tells us that the line is perpendicular to  [tex]3x + 2y = -1[/tex]

Perpendicular gradient = negative reciprocal of the gradient of the line it is perpendicular to.

So the gradient of the new line will be the  negative reciprocal of the gradient of  [tex]3x + 2y = -1[/tex]

Gradient of  [tex]3x + 2y = -1[/tex]  is: [tex]-\frac{3}{2}[/tex]

(refer to rearranging)

Gradient of new line: = negative reciprocal of  [tex]-\frac{3}{2}[/tex] , which is  [tex]\frac{2}{3}[/tex]

(just flip fraction and change the sign)

------------------------------------

So for the new line: [tex]m = \frac{2}{3} \ and, \ c = \frac{2}{7}[/tex]

So just substitute in the values for m and c into: y = mx + c

[tex]y = mx + c\\y = \frac{2}{3} x + \frac{2}{7}[/tex]

-----------------------------

Answer:

So equation of the new line is:

[tex]y = \frac{2}{3}x + \frac{2}{7}[/tex]

------------

Any questions, just ask.

ali's tyre pressure gauge shows a reading witch is 8 % lower than the actual pressure when the gauge shows 33.58

Answers

The actual pressure when the gauge shows 33.58 would be 36.5.

Used the concept of the percentage that states,

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Given that,

Ali's tire pressure gauge shows a reading which is [tex]8 \%[/tex]lower than the actual pressure.

And, the gauge shows [tex]33.58.[/tex]

Let us assume that,

The actual pressure of Ali's tires = x

Hence, we can formulate the equation,

[tex]x \times (1 - 8\%) = 33.58[/tex]

Solve the equation for x,

[tex]x \times (1 - \dfrac{8}{100} ) = 33.58[/tex]

[tex]x \times (1 - 0.08) = 33.58[/tex]

[tex]x \times 0.92 = 33.58[/tex]

Divide both sides by 0.92;

[tex]x= \dfrac{33.58}{0.92}[/tex]

[tex]x = 36.5[/tex]

Therefore, The actual pressure of Ali's tires = 36.5

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The complete question is,

Ali's tire pressure gauge shows a reading which is 8% lower than the actual pressure.

What is the actual pressure of Ali's tires when the gauge shows 33.58?

Find the volume of a cone with a radius of 3 millimeters and a 7 height of millimeters. Use 22/7 for 3.14 .

Answers

Answer:

66

Step-by-step explanation:

So the volume of a cone is [tex]\pi r^2*\frac{h}{3}[/tex]

r = 3

h = 7

[tex]9\pi *\frac{7}{3} = 21\pi[/tex]

[tex]\frac{22}{7} *21=66[/tex]

what is the product of 72 x 0.45​

Answers

Answer:

32.4

Step-by-step explanation:

Answer:

32.4

Step-by-step explanation:

Product means the answer of a multiplication problem. So 75 x 0.45 = 32.4.

[tex]75 \times 0.45 = 32.4[/tex]

Hope this helped :)

What is the best category for the system of equations shown:
2x + 6y = 14
- 2x+2y =- 10
1.Consistent / Independent
2.Consistent / Dependent
3.Inconsistent / Independent
4.None of the above.

Answers

Answer:

Option (1)

Step-by-step explanation:

System of equations has been given as

2x + 6y = 14

By dividing this equation by 2

x + 3y = 7 --------(1)

Second equation is,

-2x + 2y = -10

-x + y = -5 -------(2)

By adding equation (1) and equation (2)

(x + 3y) + (-x + y) = 7 - 5

2x = 2

x = 1

By putting x = 1 in the equation (1)

1 + 3y = 7

3y = 6

y = 2

So, we get exactly one solution pair (1, 2) where these lines are intersecting.

Therefore, the best category that defines the system of equations is Consistent/Independent

Option (1) will be the answer.

Help! I just don't understand

Answers

Answer:

$71

Step-by-step explanation:

Since x denotes the number of miles and we know that the car rode 100 miles, this means that x=100, and when we plug this in, we get C(x) = 0.5* 100 + 21 = 50 + 21 = $71. Hope this helps!

Answer:

C(100) = 71

Step-by-step explanation:

C(x) = .5x+21

Let x= 100

C(100) = .5(100)+21

         = 50+21

        = 71

Use the method of completing the square to transform the quadratic equation into the equation form (x – p)2 = q. −9 + 12x - 6x2 = 0

Answers

Answer:

Step-by-step explanation:espinal hola defryet iSight x0 do hulp

Answer:

(x-1)^2= -0.5

Step-by-step explanation:

I DID THE USA TEST PREP AND THIS ANSWER WAS CORRECT

Please help with this

Answers

Try to use Socratic or Photomath

I need help with B ASAP because work is due tomorrow and Im seriously stuck. I have tried so many, please help. ​

Answers

Part A is correct; good job.

The universe is even numbers between 1 and 25, that's 2 thru 24. Count; there are twelve of them.

There's only one of them in the intersection of A and B, namely 8.

So the probability is one in twelve.

Answer: 1/12

A standard fair dice is rolled twice.
What is the probability of getting an odd number on the first roll and any factor of 12 on the other?

Answers

Answer:

5/12

Step-by-step explanation:

The probability of rolling an odd number is 3/6, which is 1/2

The probability of rolling a factor of 12 is 5/6 (1,2,3,4,6)

1/2 x 5/6 = 5/12

Type the correct answer in each box.
A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is _ units. The point (-15,_) lies on this circle.

Answers

Answer:

17, 23

Step-by-step explanation:

First, to find the radius, we need to find the distance between the center of the circle, (-7, -1), and the point that the circle passes through, (8, 7). Plugging these coordinates into the distance formula we do [tex]\sqrt{(-7-8)^2+(-1-7)^2}[/tex] which gives us 17. Therefore, the radius of the circle is 17 units.

Next to find the y-coordinate of the point (-15, ), we need to write out the equation of the circle and then plug in the point. The equation of the circle would be [tex](x+7)^{2} +(y-8)^{2}=289[/tex]. Now we can plug in -15 for x and solve for y. So now we have [tex](-15+7)^{2} +(y-8)^{2}=289[/tex].

Simplifying the equation we have [tex](8)^{2} +(y-8)^{2}=289[/tex]. Subract [tex]8^{2}[/tex] from 289 and now the equation is [tex](y-8)^{2}=225[/tex]. Square root both sides to get [tex]y-8=15[/tex]. We solve for y to get 23. Therefore, the point is (-15, 23).

Answer:

Well, the answer would be 17,23 Also i had the same question as you so i already know the answer

I need help with question C

Answers

fist, you have to know to use the sin rule


This is because we have to find what x is equal to (which is the hypotenuse)


Then we have to realise that we also have 2m, which is the opposite side (because it's the opposite angle to the adjacent side)

Then we make an equation


sin30 degrees = 2 divided by x


Move x to the left side and move sin30 degrees to the right side


So our equation is


x= 2 divided by sin30


Which is 4.


So x is equal to four metres.
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