If log 5 = p and log 2 = q then log 200 can be written in terms of p and q as
(1) 4p+q
(3) 2(p+q)
2) 2p+39
(4) 3p+29

Answers

Answer 1

Answer:2p + 3q

Step-by-step explanation:

hope this helped!


Related Questions

Clare claims that (10+3)(10-3) is equivalent to 10 32 and and (20+1)(20-1) is equivalent to 202-12 Do you agree? Show your reasoning.​

Answers

Answer:

no because paranthesis should always be done first

Step-by-step explanation:

it should be (13)(7)(21)(19)

not equivalent (do not) because (10+3)(10-3)= 13•7=91
and
(20+1)(20-1)= 21•19= 399

Use intercepts to graph the linear equation −12x+3y=24.

Answers

Answer: slope is 4, y intercept is ( 0,8) , x intercept is (-2,0)

Step-by-step explanation: graph the line using the slope and and y intercept.

Find the value of y when x= -12.
y=x/2 +9
y =​

Answers

Answer:

3 is what I think the answer is

Richard went kayaking last weekend. On Saturday, he kayaked for 2 hours and went 7 kilometers. On Sunday, he kayaked on a different river for 3 hours and went 12 kilometers. On which day did Richard kayak at a faster average speed?

Answers

Answer: Richard kayaked faster on Sunday

Explanation: In a situation like this, you would need to find the average speed, or the rate at which Richard was kayaking on both days. On Saturday, Richard kayaked 2 hours and went 7 kilometers, meaning you would divide 7 by 2 to get the average speed, or the rate at which Richard traveled while kayaking. On Sunday, Richard kayaked for 3 hours and traveled a total of 12 kilometers. If we did the same thing we did on Saturday, and divided 12 by 3, we would get the average speed. On Saturday, Richard kayaked at a rate of 3.5 kilometers per hour, and on Sunday, Richard kayaked at a rate of 4 kilometers per hour, meaning Richard kayaked faster on Sunday.

Richard was faster on Sunday than Saturday.

What is average speed?

The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction.

The formula for average speed is found by calculating the ratio of the total distance traveled by the body to the time taken to cover that distance.

Average Speed = Total Distance traveled/Total Time taken

The average speed equation is articulated as:

Given,

Richard on Saturday,

kayaked distance = 7kms.

Time taken = 2 hours

Speed = Distance/ Time

Speed on Saturday = 7/2

Speed on Saturday = 3.5 km/hr.

Richard on Sunday,

kayaked distance = 12kms.

Time taken = 3 hours

Speed = Distance/ Time

Speed on Sunday = 12/3

Speed on Sunday = 4 km/hr.

Hence, by the above calculation Richard was 0.5 km/hr. faster on Sunday than Saturday.

Learn more about average speed here:

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hey! may you please check if this is right, and if wrong give me the right answer?​

Answers

Answer:

I think it is true , but I am not sure

A basketball player attempts 15 baskets in a game. He makes 9 of the attempted baskets. Part A: ​Write a ratio that describes the number of baskets the player made to the number of
baskets the player attempted?
Part B:​ Find an equivalent ratio based on the ratio you created in Part A. Show your work below.

Answers

Answer:

Part a: The ratio is 9:15

Part b: The equivalent ratio is 3:5

Which of these constructions would construct a line of reflection that takes point A to point B?
Construct the perpendicular bisector of segment AB.
Construct a line through B perpendicular to segment AB.
Construct the line passing through A and B.
Construct a line parallel to line AB.

Answers

Answer:

2nd choice because the first wouldnt make sense because of the angle it is in

Step-by-step explanation:

We have that the constructions which would construct a line of reflection that takes point A to point B is Option D

Construct a line parallel to line AB

A line parallel to line AB will Create a line of reflection that takes point A to point B because a parallel line never meet thereby creating the direct imagery of Line AB

From the Options

We have that

-Construct the perpendicular bisector of segment AB.

A perpendicular bisector will NOT Create a line of reflection that takes point A to point B but rather it will divide the line AB in two equal parts

-Construct a line through B perpendicular to segment AB.

A line through B perpendicular to segment AB will NOT Create a line of reflection that takes point A to point B

-Construct the line passing through A and B.

A line passing through A and B will NOT Create a line of reflection that takes point A to point B but rather will create Line A and B again and not its reflection

Construct a line parallel to line AB

A line parallel to line AB will Create a line of reflection that takes point A to point B because a parallel line never meet thereby creating the direct imagery of Line AB

In conclusion

The constructions which would construct a line of reflection that takes point A to point B is Option D

Construct a line parallel to line AB

A line parallel to line AB will Create a line of reflection that takes point A to point B because a parallel line never meet thereby creating the direct imagery of Line AB

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PLEASE HELP



this is a formula for a sequence, f(x) = 8 - 11x, what is f(8)?​

Answers

Answer:

-80

Step-by-step explanation:

plug in 8 to the equation

8 - 11 (8)

multiply 8 and 11 first: 8 - 88

add 8 to -88: -80

During second period, Andrew completed a grammar worksheet. Of the 32 questions, Andrew got 50% right. How many questions did Andrew get right?

Answers

Answer:

16

Step-by-step explanation:

32/2 = 16

So, he got 16 questions right and 16 questions wrong!

Use any pair of points to calculate the slope of the line.
A- 3/2
B- -3/2
C- 6/4
D- -2/3

Answers

The answer to the question is C

Answer:

Either A or D I think

Step-by-step explanation:

Please help as soon as possible. I'm writing a research paper and this is one question it must answer. I am stuck on it.
Where in the real-world is the Pascal Triangle used? Provide at least 1 real-world situation.

Answers

cell division? kkkookwk

Answer:

One real life situation that Pascal's Triangle is used for is Probability

Step-by-step explanation:

One real life situation that Pascal's Triangle is used for is Probability, and combinations. We have situations like this all of the time. For example, say you are at an ice cream shop and they have 5 different ice creams. You want to know how many different ways you can pick two of the ice creams and eat them.

SOMEBODY HELP ME!! I need to know what is the best way to describe this relationship.

Answers

Answer:

Its very hard to see it

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

Express the rate as a unit rate.
$12 for 4.8 pounds

$ ____ per lb

Answers

Answer:

2.5 Hope that helps you

What is one third of these?
1
3/4
2
1 1/2
2 1/4
1/2

Answers

Answer:

1/3

1/4

2/3

1/2

3/4

1/6

Step-by-step explanation:

Simply multiply each number by one-third.

1 * 1/3 = 1/3

3/4 * 1/3 = 3/12 = 1/4

2 * 1/3 = 2/3

1 1/2 = 3/2 * 1/3 - 3/6 = 1/2

2 1/4 = 9/4 * 1/3 = 9/12 = 3/4

1/2 * 1/3 = 1/6

Let r = ⟨7, 1⟩, s = ⟨–6, 2⟩, and t = ⟨–9, –3⟩. What is 10r + s – t?


a) ⟨55, 9⟩
b) ⟨55, 15⟩
c) ⟨73, 6⟩
d) ⟨73, 15⟩

Answers

Answer:

73,15

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Just did the test

What is the approximate minimum height of a shelf in which this box can fit in the position shown in the picture?

Answers

what is the picture? I would love to help if I knew what the picture looked like.

Answer:6.7 centimeters>###

Step-by-step explanation:

Write and solve the algebraic inequality: The product of -5 and a number is at least -40.

A. -5x > -40; x > -8

B. -5x ≥ -40; x ≤ 8

C. -5x -8

D. -5x ≥ -40; x ≥ 8

Answers

C because that is the only one that make completey since

Some one please he nice and help me

Answers

Answer:

I think its  x≥3

Step-by-step explanation:

5x+4≥19

Subtract 4 from both sides.

5x+4−4≥19−4

5x≥15

Step 2: Divide both sides by 5.

5x /5  ≥ 15 /5

=x≥3

Angie is testing her science fair project, an erupting model volcano. In her first trial, she uses 3 drops of red coloring and 5 drops of yellow coloring for the lava. In her second trial, she uses 4 drops of red coloring and 8 drops of yellow coloring. Which trial had a lower ratio of red coloring to yellow coloring?

Answers

Given :

Angie is testing her science fair project, an erupting model volcano.

In her first trial, she uses 3 drops of red colouring and 5 drops of yellow colouring for the lava.

In her second trial, she uses 4 drops of red colouring and 8 drops of yellow colouring.

To Find :

Which trial had a lower ratio of red colouring to yellow colouring.

Solution :

Ratio at first trial :

[tex]R_1=\dfrac{3}{5}\\\\R_1=0.6[/tex]

Ratio at second trial :

[tex]R_2=\dfrac{4}{8}\\\\R_2=0.5[/tex]

Therefore, second trial had a lower ratio of red colouring to yellow colouring.

Hence, this is the required solution.

Answer:

Step-by-step explanation:

The second trial has lower ratio

Yooo who could do thisss ? ?

Answers

Answer:

hey sleepy! the answer is (8 , 0)

happy to help

Find an equation for each line.

Answers

Green is 1x - 1
Black is -2x
Orange is Y = 4
Blue is X = -4

Just remember rise over run within the grid :)

pls complete it (picture )​

Answers

Answer:

32cm²

Step-by-step explanation:

4 cm * 8 cm = 32 cm²

Answer:
32cm
Explanation:
Formula for rectangle is Length x width
4x8=32cm

Fernando is saving up for a new video game system that costs $159. He has $15 in his saving account already to put towards the syst
If Fernando starts saving $9 each week, in how many weeks will Fernando have enough money to buy the new video game system?

Answers

Answer:

159=15+9x    x=16

Step-by-step explanation:

it will take Fernando 16 weeks to save up enough money

Answer:

16 weeks

Step-by-step explanation:

$159 - $15 = $144

$144 ÷ 9 = 16

can someone help me with this question? please

Answers

9514 1404 393

Answer:

  208

Step-by-step explanation:

First of all, it is useful to draw the factory location and the path the truck takes.

If you're paying attention, you will notice that the distance from each marked location to the origin is 3 grid squares horizontally and 4 grid squares vertically. This makes the distance to the origin be the hypotenuse of a 3-4-5 triangle, or 5 grid squares.

Then the distance diagonally from the warehouse to the airport is 10 grid squares. The distance horizontally from the airport to the factory is 6 grid squares, for a total distance of 10+6 = 16 grid squares.

You will notice the grid squares are marked as 13 miles each. The miles driven by the truck are ...

  (13 miles)(16) = 208 miles

_____

As you can see, it is helpful to notice when problems make use of 3-4-5 triangles.

If you want to compute this more or less directly, you can recognize the horizontal distance from warehouse to airport is 78 miles, and the vertical distance is 104 miles. The Pythagorean theorem tells you the diagonal distance is ...

 WA = √(78² +104²) = √16900 = 130

The distance to the factory is 78 miles, so the total is ...

  130 +78 = 208 . . . miles the truck drives

solve and graph on number line8 - 1y ≤ 7

Answers

Solution: y [tex]\geq[/tex] 1

Graph:

someone help, i dont need steps just answer

Answers

Answer:

looks like 30

Step-by-step explanation:

i think the answer is 37

In an electrical circuit ,the voltage across a resistor is directly proportional to the current running through the resitor.If a current of twelve amps produces 480 volts across a resistor,how many volts would a current of 1.5 amps produce across an identical resitor?

Answers

Answer: The voltage across an identical resistor = 60 Volts

Step-by-step explanation:

Step 1

Given  that voltage across the resistor is directly proportional to the current running through the resitor.

 Mathematically, it would be represented as

Voltage  ∝  Current

Introducing the constant of proportionality,  k which represents the Resistor as it is constant.

we have that

Voltage  = K  x  Current

When current = 12 amps and voltage = 480v, the constant of proportionality  K

480 = k x 12

k = 480/12

k= 40

Step 2 ,

when current = 1.5 amps

 Voltage = ?

Using our equation that

Voltage  = K  x  Current

Voltage = 40 x 1.5

Voltage = 60 Volts

The function p(x) = −2000x2 + 18000x − 15000 models the monthly profit P of a smoothie company, where x represents the price per smoothie. Identify the price range that will generate a monthly profit of at least $25,000. a. Between $4 and $5; inclusive b. Less than $4 c. Between $4 and $5; exclusive d. More than $5

Answers

Answer:

Step-by-step explanation:

Givem the profit function

p(x) = −2000x2 + 18000x − 15000

We are to generate the price range that will generate a monthly profit of at least $25,000

Substitute into the function we have;

25000 = −2000x2 + 18000x − 15000

Divide through by 1000

25 = -2x²+18x-15

Rearrange

-2x²+18x-15-25 = 0

2x²-18x+40 = 0

Divide through by 2

x²-9x+20 = 0

Factorize

x²-5x-4x+20 = 0

x(x-5)-4(x-5) = 0

x-4 = 0 and x-5 = 0

x = 4 and x = 5

Hence the price range that will generate a monthly profit of at least $25,000 is between $4 and $5 inclusive

Suppose y varies inversely as x, and y=25 when x=3. Find x when y=15

Answers

Answer:

If

y

varies inversely as

x

then

XXX

x

y

=

c

for some constant

c

We are told when

x

=

2

then

y

=

15

So

XXX

2

15

=

c

XXX

c

=

30

and

XXX

x

y

=

30

Therefore when

y

=

3

XXX

x

3

=

30

XXX

x

=

10

Step-by-step explanation:

Commute times in the U.S. are heavily skewed to the right. We select a random sample of 200 people from the 2000 U.S. Census who reported a non-zero commute time. In this sample the mean commute time is 27.5 minutes with a standard deviation of 18.9 minutes. Can we conclude from this data that the mean commute time in the U.S. is less than half an hour? Conduct a hypothesis test at the 5% level of significance. What is the p -value for this hypothesis test?

Answers

Answer:

Step-by-step explanation:

Given that:

The population mean [tex]\mu[/tex] = 30

The sample size n = 200

The sample-mean [tex]\overline x[/tex] = 27.5

The sample standard deviation s = 18.9

The level of significance ∝ = 0.05

The null hypothesis and the alternative hypothesis can be written as:

[tex]H_o:\mu \ge 30 \\ \\ H_1: \mu < 30[/tex]

Since the alternative hypothesis indicates < sign, then this test is left-tailed

The  t-test statistics is:

[tex]t =\dfrac{\overline x - \mu }{\dfrac{s}{\sqrt{n}}}[/tex]

[tex]t =\dfrac{27.5 -30 }{\dfrac{18.9}{\sqrt{200}}}[/tex]

[tex]t =\dfrac{-2.5}{\dfrac{18.9}{14.142}}[/tex]

t = -1.871

The p-value = P(t< -1.871)

From the standard normal t tables

The p-value = 0.0314

Thus, since the p-value is less than the level of significance ∝ = 0.05, then we reject the null hypothesis.

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