Match each logarithmic equation to its corresponding x-value.
=
5
log, t = 5
log, I = 1
=
= 4
log
1,000
16
625
3
log10+ = 3
32
1084*
= 2
>
A>
1
&

The location of the light bulb is (15, 0). Check the reason for the answer been (15, 0) below.

This is also known as  paraboloid or paraboloidal reflector. It is a kind of  dish or a mirror that is said to have a reflective surface which is often used to take in or project any kind of energy e.g., light, sound, etc.

For the above question, the formula is:

y² = 2px

The focus is (p/2, 0)

x- 10 = u

y2 = 20u

So, the focus for U  =  ( [tex]\frac{20}{4}[/tex]; 0)

The focus for x =  ( [tex]\frac{20}{4}[/tex]; 10, 0)

= 5 , 10, 0

= (15, 0)

Therefore, the answer is (15, 0)

Learn more about  parabolic mirror from

https://brainly.com/question/9710549

Answer:

90,000 is the answer to that question

Answer:

its in the 10,000 digit placement.

Step-by-step explanation:

100, 000
  90,000
    5,000
       400
         80
            7
Hope this helped! Have a nice day!
Please give Brainliest when you can.

-Jaron, King of Carthya.

Answer:

24.8 ft (1 dp)

Step-by-step explanation:

Arc length of semicircle = [tex]\pi r[/tex]  (where r is the radius)

Given:

⇒ Arc length = 2 × 3.14 = 6.28 ft

Use Pythagoras' Theorem [tex]a^2+b^2=c^2[/tex] to find the hypotenuse of the right triangle with legs 2 ft and 4 ft:

[tex]\implies 2^2+4^2=c^2[/tex]

[tex]\implies c^2=20[/tex]

[tex]\implies c=\sqrt{20}=2\sqrt{5}\:\sf ft[/tex]

Therefore:

perimeter = 6 + 6.28 + 6 + 2 + 2√5

                = 24.75213596...

                = 24.8 ft (1 dp)

Perimeter of semicircle

#Rectangle

For triangle

Use Pythagorean theorem

Total Perimeter

Answer:

y=rx x-3

Step-by-step explanation:

answer is 3

Answer:

the first option, acute

Step-by-step explanation:

a straight line is equal to 180

34+64=96

180-96=84

84 degrees so its an acute angle

The area is 4(x+3). If we multiply the 4 out we have 4x + 12 as the area using the distributive property.

Expression: 4x+12

The original dimensions are x+3 and 4. If they are doubled, we have new dimensions 2x+6 and 8. The area is then 8(2x+6) = 16x + 48.

Area: 16x+48

Explanation: The ratio of the area of the original rectangle to the area of the larger rectangle is and will always be (4x+12)/(16x+48) = 1/4. Therefore, the ratio will be the same for any positive value of x.

Answer:

i got 8.5

Step-by-step explanation

i have a triangle area calculator lol..

The length of the base of the triangle is B = 8.5 inches

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the area of the triangle be A = 25.5 inches²

Let the height of the triangle be H = 6 inches

Let the base of the triangle be B

Now , area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

25.5 = ( 1/2 ) x ( 6 ) x ( B )

On simplifying , we get

3B = 25.5

Divide by 3 on both sides , we get

B = 8.5 inches

Hence , the base of triangle is B = 8.5 inches

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Alice picked 25 apples from the garden and she wants to share the apples with her 6 friends. She wants to determine how many apples each friend would get.

Division is a mathematical operation taht entails grouping a number into equal parts using another number. The sign used to denote division is ÷.

Based on the sign in the question, you are to divide 25 by 6. In order to do this, group 25 into 6 groups. The result is 4 remainder 1.

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

dddddddd

Step-by-step explanation:

Answer:

I think yes is the correct answer

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE let

Answer:

Yes

Step-by-step explanation:

Because they are different

Answer: im sowwy but what are you asking lol srrry ima soopid person

Step-by-step explanation:

Answer:

4000 mL

Step-by-step explanation:

there are 1000 millilitres in 1 liter

in 4 liters there would be 1000 * 4 = 4000 millilitres

Answer:

4,000 ml

Step-by-step explanation:

hope this helps  *_*  :)

Answer:

y = -x+10

Step-by-step explanation:

We have a point at ( 2,8) and a point at ( 4,6)

We can find the slope using

m = ( y2-y1)/(x2-x1)

   = ( 6-8)/ ( 4-2)

   = -2/2

  = -1

The slope is -1

We can see that it intercepts the y axis at 10 ( x=0 point)

Using the slope intercept form  y = mx+b  where m is the slope and b is the y intercept

y = -x+10

Answer: [tex]f^{-1}(x)=\frac{x-1}{2}[/tex]

Step-by-step explanation:

To find the inverse of a function start by replacing f(x) with x and replace the original x with y.

[tex]f(x)=2x+1\\x=2y+1[/tex]

Now solve for y

[tex]x=2y+1\\x-1=2y+1-1\\x-1=2y\\\frac{x-1}{2} =\frac{2y}{2}\\\frac{x-1}{2} =y[/tex]

Finally, replace y with the inverse of f(x), [tex]f^{-1}(x)[/tex]

Answer:

[tex] \: [/tex]

Step-by-step explanation:

[tex] \: [/tex]

To find the radius of the circle we must know this formula first :

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: 2 \pi r \: =Circumference_{(circle)}}}}}}} \: \: \bigstar \\ \\[/tex]

Now substituting the values in the formula :

[tex]\\{ \longrightarrow \qquad{ {{ \tt{ \: 2 \times 3.14 \times r \: =34.48}}}}} \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \tt{ 6.28 \times r \: =34.48}}}}} \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \tt{ r \: = \frac{34.48}{6.28} }}}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb {{ \frak{ r \: = 5.490 }}}}} \\ \\ [/tex]

Therefore,

Answer:

i cant really see the screen

Step-by-step explanation:

Answer:

3?

Actually I dont understand

The number of different assignments that are possible for this case when the teacher wants to assign 4 of the 15 practice problems is 1,365 ways.

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex]  ways.

For this case, the teacher have to choose 4 problems out of 15 practice problems so that assignments are different.

An assignment would be different than other if the 4 questions in one assigment are not exactly same in the second assigment, and their order won't matter (assumingly).(no counter statement is given in the question's statement) against this assumption).

Those 15 problems are assumingly distinguishable (here we used general logic that each problem would be somewhat different if not fully, and thus, no two problems being indistinguishable).

Then, we can use the combinations to find the number of ways any 4 problems out of 15 practice problems available can be chosen, as shown below:

[tex]^{15}C_4= \dfrac{15!}{4! \times (15-4)!}\\\\\\^{15}C_4=\dfrac{15!}{4! \times 11!} = \dfrac{15 \times 14 \times 13 \times 12 \times 11 \times \cdots \times 2 \times 1}{(4 \times 3 \times 2 \times 1) \times ( 11 \times \cdots \times 2 \times 1)}\\\\\\^{15}C_4=\dfrac{15 \times 14 \times 13 \times 12 }{4 \times 3 \times 2 \times 1} = 1365[/tex]

Thus, the number of different assignments that are possible for this case when the teacher wants to assign 4 of the 15 practice problems is 1,365 ways.

Learn more about combinations here:

https://brainly.com/question/11958814

Answer:

25%

Step-by-step explanation:

First convert 3 hours into minutes by multiplying 3 x 60 min/hr. This is 180 minutes. To find the percentage, divide 45 minutes by 180 minutes and then multiply by 100.

45/180=0.25x100 = 25%

The time 45 minutes is 75 percentage of 3 hours

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the percentage be represented as A

Now , the equation will be

The time be represented as p = 45 minutes

The value of p = 3/4 hours

The value of q = 3 hours

So , the percentage is A = ( p/q ) x 100

Substituting the values in the equation , we get

The percentage A = ( 3/4 ) / 3 x 100

On simplifying the equation , we get

The percentage A = ( 3/12 ) x 100

The percentage A = ( 1/4 ) x 100

The percentage A = 25 %

Hence , the percentage is 25 %

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

☑ 3 is a constant.

☑ 5 is a coefficient

Step-by-step explanation:

It is a sum of two terms.

It a product of different terms

5 and 4 are coefficients.

Question 20

- 15 - 12 = -27

Question 21

(-15) x (-2) = + 30

Hope this helps!

Answer:

#20 is correct

#21 30

Step-by-step explanation:

#21 is (-15)(-2)

This is a multiplication problem. A negative × a negative is a positive.

15×2 = 30

-15 × -2 = 30

Step-by-step explanation:

Well there is no direct formula for calculating the orthocentre

well the process of finding the orthocentre is to find the altitudes of all the sides and then find their intersection points

Here in this question

The given triangle represents a right angled triangle with right angled at L(-3,2)

We know that the ortho centre in a right angled triangle is the right angled vertex

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

Hence the required orthocentre is (-3,2) and it is on the Triangle

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

Mean is the ratio of the sum of data to the ample size. The remaining four cards that could be on the card are 8, 8, 16 and 22

Mean is the ratio of the sum of data to the ample size. Median is the middle number after rearrangement while the mode is the most occurring number.

Given the sequence of numbers in order of size as 5, _, _, _, _ 24

Since 2 number falls in the middle and the median is 14, hence:

x +y/2 = 14

Since 8 is the mode, we can assume x = 8 in order to determine "y" as shown

8+y/2 = 14
8+y = 28
y = 16

The sequence of numbers will become 5, 8, 8, 16, _ 24 (8 was repeated twice being the mode)

The last unknown number can then be any value between 16 and 24. Using 22 as the last unknown value, the remaining four cards that could be on the card are 8, 8, 16 and 22

Learn more on measure of dispersion here: https://brainly.com/question/8910182

here it is !

Step-by-step explanation:

must find x and then using x to find y

The histogram that represents this data would be the histogram shown in the image below.

In a histogram, bars or bins show the frequency of a range of data points in a data distribution.

Given the data set, 1, 7, 4, 4, 3, 2, 7, 8, 1, 19, 20, 22, 20, 19, 16, 16, 19, 13, 1, 13, the groups and frequency for the data distribution would be:

0 - 5: 7

6 - 11: 3

12 - 17: 4

18 - 23: 6

Therefore, the histogram that represents this data would be the histogram shown in the image below.

Learn more about histogram on:

https://brainly.com/question/18198700

Answer:

if you are confused about the explanation of the person on top... it means the answer is C.

Step-by-step explanation:

creds to the person on top

Let's first look only at the numerator: 5x^2 - 5

Consider this question: What do both terms have in common?

The answer is 5, both terms contain a 5, so we can factor it out.

5(x^2 - 1)

Now let's look at the denominator, considering the same question: 3x^2 + 3x

This time, both terms contain a 3 and an x.

3x(x^2 + 1)

Now we are here: [ 5(x^2 - 1) ] / [ 3x(x + 1) ]

In the numerator, the binomial factors out into (x + 1)(x - 1). There is also an (x + 1) in the denominator, so those to binomials cancel out. That leaves us with the following expression:

5(x - 1) / 3x

Correct Answer: C

Hope this helps!

Answer:

Sample T ( B)

Answer:

-y = x-1 is a fairly simple equation at least with real integers.

I hope to help you understand the process of solving it so you can apply the thinking to increasingly difficult equations. If this equation is difficult for you, I will try to explain it simply.

let's try a simple trick. If you want to solve for y, then it's helpful to remove the negative from it.

that means you need to do the same thing to the x side, but since x is already positive it needs to change to -x to balance things out.

the equation now reads y = -x+1 because we have reversed the negative and positive values on both sides of the equation.

I hope this helps simplify the thinking behind solving an equation of this nature. The two previous answers above this one are both correct, but may be just a tad more complex than you need at this moment.

By comparing with a right triangle, we will see that the height of the tree is 62.12ft

We can compare the situation with a right triangle. Such that the hypotenuse measures 68 ft, and an angle measures 66°.

We want to get the height of the tree, which would be the opposite cathetus, then we can use the relation:

Sin(a) = (opposite cathetus)/hypotenuse.

Sin(66°) = H/68ft

Tan(66°)*68ft = H = 62.12ft

The height of the tree is 62.12ft

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700