Fill in the missing value to make the equations true.

Fill In The Missing Value To Make The Equations True.

Answers

Answer 1

Answer:

a) 7/4 b) 5 c) 2

Step-by-step explanation:

Logrithmic Rule for a and b

Let a, M, N be positive real numbers.

a)  

logaM - logaN = loga(M/N)

log9(7) - log9(4) = log9 (7/4)

b)

logaM + logaN = logaMN

log2 (x) + log2(9) = log2(45)

x9=45

(x9)/9 = 45/9

x = 5

c)

Change of base formula.

logb​(x)=logd​(b)/logd​(x)​

x log6(5) = log6(25) divide each term by log6(5)

x log6(5) / log6(5) = log6(25) / log6(5)   Cancel common factor log6(5)

x = log6(25) / log6(5)

x = log6(5^2) / log6(5)

Expand log6(5^2) by moving 2 outside the logarithm.

x = 2log6(5) / log6(5) cancel the like term log6(5)

x = 2


Related Questions

(a−y)2+2y3 if a=2 and y=−3.

Answers

Answer: - 8

Step-by-step explanation:

(2-(-3)*2+2*(-3)*3

10-18

= - 8

Inbox me on fb with same username for further assistance

step by step instructions please ​

Answers

I hope this helps you...

I have an order to administer nitroglycerin 10mcg/min continuous infusion. The bottle of nitroglycerin available is 50mg in 250 ml of D5W. At what rate would you set the IV pump to infuse at

Answers

Answer:

The IV pump infusion rate = 0.05ml per minute

Step-by-step explanation:

available concentration = 50 mg per 250 ml of D5W

This means that

250 ml of D5W contains 50 mg

note that

mg = milligram

mcg = microgram

250 ml = 50mg

1ml = 50/250 mg

1ml = 0.2mg

Next, let us convert from milligram (mg) to microgam (mcg) since the unit of administration is in mcg.

1 mg = 1000 mcg

∴ 0.2 mg = 1000 × 0.2

= 200mcg

Therefore the available concentration 200mcg/ml

required concentration/min = 10

since 1 ml = 200mcg

1 mcg = (1 ÷ 200) ml

1 mcg =  0.005 ml

∴ 10 mcg = 0.005 × 10 = 0.05 ml

10 mcg is contained in 0.05 ml of the solution

Therefore, the IV pump infusion rate = 0.05ml per minute

Scientist measured a Madeira cockroach and found it to be 3.438 centimeters long. Between which two cockroaches would the Madeira cockroach belong?

Answers

Answer:

Oriental and American cockroach

Step-by-step explanation:

The question is not complete. The complete question is:

The length of the oriental, American and Australian cockroaches are 3.432 cm, 3.576 cm and 3.583 cm respectively. Scientist measured a Madeira cockroach and found it to be 3.438 centimeters long. Between which two cockroaches would the Madeira cockroach belong?

Answer: From the question, the Australian cockroach  is the longest cockroack with a length of 3.583 cm followed by the American cockroach of length 3.576 cm and lastly the Oriental cockroach of length 3.432 cm.

If the Madeira cockroach is to be placed, its length is greater than that of the Oriental cockroach but less than that of the American cockroach hence it would be placed between the Oriental and American cockroach. The lengths from lowest to highest is:

3.432 cm 3.438 cm 3.576 cm 3.583 cm

djdsklsa;jska da;kja849381-09

Answers

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

849381 - 9 = 849372

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Ray created the list of factors for 48 below.
48: 1, 2, 3, 4, 6, 7, 8, 12, 16, 24, 48
Which number should be removed from his list to make the list accurate?
O 3
07
O 16
O 48
please help!!

Answers

kinda disrespectful someone didn't answer this but anyway..

Without an explanation your answer is 7

W/ an explanation:

___________________________________

7 should be removed from the list because all the other numbers can multiply to 48

1 x 48   ✔

2 x 24  ✔

3 x 16   ✔

4 x 12   ✔

6 x 8    ✔

7 x ?     ❌

Thus, 7 is left with nothing to multiply by besides itself which would give you 47 but the number we have the list of is 48. So 7 is your number to remove from the list.

Anyone have a way to find the GCF faster? I’m in 7th grade btw

Answers

Answer:

yep

Step-by-step explanation:

60 and 72/2

30 and 36/2

15 and 18/3

5 and 6

Answer:

got you i dont see a picture  so

Step-by-step expla nation:

18 and 12/6

30 and 36/2

15 and 18/3

80 and 8/8 thats just somehting simple

Up and down represents_________ and left to right represents_________.

Answers

Answer:

y-axis and x-axis

Step-by-step explanation:

I need to know what -(6h + 7) + 8 = -19 is

Answers

Answer:

10/3

Step-by-step explanation:

-1(6h + 7) = -6h - 7

-6h - 7 + 8 = -6h + 1

-6h + 1 = -19

        -1     -1 - Subtract 1 from both sides.

-6h = -20

-6        -6 - Divide both sides by negative 6

h = 10/3

Answer:

h = 10/3

Step-by-step explanation:

-(6h + 7) + 8 = -19

Subtract 8 from each side

-(6h + 7) + 8-8 = -19-8

-(6h + 7)  = -27

Divide by a negative

6h+7 = 27

subtract 7

6h+7-7 = 27-7

6h = 20

Divide by 6

6h/6 = 20/6

h = 10/3

What percentage of the UKs population is 14.1 million people?

The UK has a population of 66.65 million. What do 14.1 million people make up a percentage of?

Answers

Answer:

≈21.16%

Step-by-step explanation:

Population = 66.65 M

14.1 M make up:

14.1/66.65*100% ≈21.16%

Variations question help please

Answers

Answer:

y = 156

Step-by-step explanation:

The equation for direct variation is

y = kx

65 = k*5

Divide each side by 5

65/5 = k

13 =k

The equation is y = 13x

Let x = 12

y = 13*12

y = 156

A softball has a diameter of 3.8in. How many softballs will fit inside of a storage unit that is 6 feet wide,10 feet wide, and 8 feet high?

Answers

Answer:

29090

Step-by-step explanation:

First of all, we will have to calculate the volumes of a soft ball and the volume of box.

Then we will divide the volume of box with volume of softball to find the number of balls that can be stored in the box.

Diameter of softball = 3.8 in

Radius of softball = 1.9 in = 0.158 ft

Volume of a sphere = [tex]\frac{4}{3}\pi r^3[/tex]

[tex]\Rightarrow \dfrac{4}{3}\pi (0.158)^3=0.0165\ ft^3[/tex]

Volume of cuboid box = Length [tex]\times[/tex] Width [tex]\times[/tex] Height = 6 [tex]\times[/tex] 10 [tex]\times[/tex] 8 = 480 [tex]ft^3[/tex]

Number of softballs that can fit inside the storage = [tex]\frac{480}{0.0165}[/tex] = 29090

Simplify the expression:
(12x - 3+ 2x) + (5 + 3x? - 2x)

Helppp and how do did u simply it!!

Answers

Answer:

20[tex]x^{2}[/tex] + 109x -15

Step-by-step explanation:

12x * 5 = 60x

12x * 3x = 36x

12x * -2x= -24[tex]x^{2}[/tex]

-3 * 5 = -15

-3 * 3x = -9x

-3 * -2x = 6x

2x * 5 = 10x

2x * 3x =6x

2x * -2x= -4[tex]x^{2}[/tex]

60x + 36x -9x + 6x + 10x + 6x = 109x

24[tex]x^{2}[/tex] - 4

-15

Hope this helpss

Variations problem Help please

Answers

Answer:

9

Step-by-step explanation:

12-5=7 so...

2+7 = 9

y = 9

12. Michelle is selling her condo. She needs to make at least $42,000 from the sale so she can
make a down payment on a new house. If a 5.5% real estate commission is deducted, what is
the lowest offer Michelle should accept to get her down payment?

Answers

Answer:

Total amount she need = $44,444

Step-by-step explanation:

Given:

Amount Michelle needs = $42,000

Real state commission = 5.5%

Find:

Total amount she need

Computation:

Assume,

Total amount she need = x

So,

Real state commission = 0.055x

So,

x - 0.055x = 42000

x (0.945) = 42,000

x = 44,444 (Approx)

Total amount she need = $44,444

jamal deposits 2,500 into each of two savings accounts.The first account has a 4% annual simple interest .Account two earns 5% annual simple interest.what is the sum of the account in 3 years?

Answers

Answer:

$5,675

Step-by-step explanation:

you would just take 4% and 5% of 2500 which is 100 and 125 and multiply them both by 3 which is 300 and 375 and add them both to the 2500 which is 2800 and 2875 and since it asks for the sum you would add then to get a total of $5,675

two pens and one erasor cost Rs 35 and 3
pencils and four erasors cost rs 65 Find the
cost of pencil and erasor seperately pls submit it on paper​

Answers

Answer:

write down the equations for each, add them then do some manipulation to get the pencil and erasors on one side

Viola has 185 cans of soda. Dixie has 17 cans of soda less than viola. How many cans
of soda does Dixie have?

Can someone please convert this into a algebraic expression?

Answers

Answer:

168

Step-by-step explanation:

No of cans of soda Dixie has = 185 - 17 = 168

Another way:

Let Dixie has x cans of soda

Therefore,

Viola has = (x + 17) cans

According to the given information:

x + 17 = 185

x = 185 - 17

x = 168

3
The sum of two consecutive whole numbers is
91. What are the numbers?​

Answers

Represent your numbers as follows.

X ⇒ first number

X + 1 ⇒ second number

Since their sum is 91, we have x + (x + 1) = 91.

Solving from here, simplify on the left side to get 2x + 1 = 91.

Subtract 1 from both sides to get 2x = 90.

Now divide both sides by 2 and x = 45.

So if x = 45, then x + 1 must be 46.

So our numbers are 45 and 46.

Answer:

5423875

Step-by-step explanation:

7/8 greater than or less than 2/4

Answers

Answer:

greater than

Step-by-step explanation:

7/8 is greater than 4/8

At Alexandra's Orchards, 99% of the trees are apple trees. Across town at Zachary's Orchards, 558 out of 563 trees are apple trees. Which orchards have a greater percentage of apple trees?

Answers

Answer:

Zachary's Orchards

Step-by-step explanation:

We are already given the percent of trees at Alexandra's Orchards, so nothing to do here, yet.

Zachary's Orchards we could find by dividing the trees over the total.

558/563 = .9911

Multiply by 10 in order to get a whole number

.9911 * 10 = 99.11

Hence, Zachary's Orchards have a greater percentage

How do you know when to add or subtract?

Answers

The lengths of XY and YZ add up to the length of XZ:

XY + YZ = XZ

We know that XZ = 10 + 1/5 = 51/5, and XY = 4 + 2/3 = 14/3, so

14/3 + YZ = 51/5

Subtract 14/3 from both sides to solve for YZ:

YZ = 51/5 - 14/3

Find a common denominator; the least common multiple of 5 and 3 is 15, so multiply the first fraction by 3/3 and the second one by 5/5 to get

YZ = 153/15 - 70/15

YZ = (153 - 70)/15

YZ = 83/15

We have 80 = 75 + 8, so that

YZ = 83/15 = (75 + 8)/15 = 75/15 + 8/15 = 5 + 8/15


Your friend drew the diagram below to prove to you that two planes can intersect in exactly one point. Describe your friend's error.

Answers

A plane extends infinitely in two-dimension and it does not have a boundary

The error is in designating rectangles which are bounded planar shape as an whole plane

The reason for the error stated above is as follows:

Missing part of question: The drawing of the question that appear missing is attached

The definition of a plane in mathematics is an infinitely long and wide two-dimensional surface that has no thickness and which is defined by either;

Three non-colinear pointsTwo parallel and distinct linesTwo intersecting and distinct linesA point and a line not passing through the point

The given figure is the diagram of two rectangles which are planar shapes enclosed by four straight line boundaries each of which are located in their respective planes that extends infinitely and are not entire planes by themselves

Therefore, the error is that a bounded planar figure is taken as being an infinite plane

Learn more about dots, lines, and planes here:

https://brainly.com/question/13180616

last month jensen earned $270 for h hours of working. this month, she earned the same rate for 15 hours of working. write an expression to show how much jensen earned his month

Answers

Add them all together and see what u get

I feel dumb for this but can someone help me ¯\_(ツ)_/¯

Answers

C because it’s 37-37 which is zero

A model of a house has been drawn on a coordinate grid. One corner of the house has
been drawn at (6, 3). The drawing will be translated two units down and three units to the right. Where
will the same corner of the house be located?
A. (4, 6)
B. (6, 4)
C. (1, 9)
D. (9, 1)

Answers

Answer:

[tex]Point(9,1)[/tex]

Step-by-step explanation:

Given

Point: (6,3)

Required

Translate 2 units down and 3 units left

Taking the translation 1 after other

When a function is translated down, only the y axis is affected;

2 units down implies that, 2 be subtracted from the y value.

The function becomes

[tex]Point: (6, 3 - 2)[/tex]

[tex]Point: (6, 1)[/tex]

3 units right implies that, 3 be added tothe x value.

The function becomes

[tex]Point(3+6,1)[/tex]

[tex]Point(9,1)[/tex]

Hence;

Option D answers the question

At the end of a dice game, James has -5 points and Richard has 15 points. What is the difference in their scores? A. -20 B. 10 C. 20 D. -10

Answers

Answer:

C) 20 points

Step-by-step explanation:

James - 5

Richard + 15

What is the difference in their scores ?

+ 15 - (- 5) =

= 15 + 5

= 20 points

Answer:

a is the answer because the question had said that to find out the difference

given directed line segment ab find the coordinates of p such thats the ratio of ap to pd is 2:1

Answers

Answer:

The point P on line AB such that the ratio of AP to PB is 2:1 is P = (0, 3)

Step-by-step explanation:

The dimension of the graph can be taken as 1 box = 1 unit

Therefore;

The coordinates of the point A = (-2, -7)

The coordinates of the point B = (1, 8)

For the a point P that gives the ratio AP to PB = 2:1 is given as follows;

The fraction of AP to AB = 2/(2 + 1)×AB = 2/3 × AB

Which gives;

The coordinate of the point P = (-2 + 2/3×(1 - (-2)), -7 + 2/3×(8 - (-7)))

P = (0, 3)

Therefore;

The coordinates of P such that the ratio of AP to PB is 2:1 is P = (0, 3).

The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $375 to drive 380 mi and in June it cost her $455 to drive 700 mi. (a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. C(d)

Answers

Answer:

idk

Step-by-step explanation:

Anam is thinking of a prime number it is between 40 to 60 the differnce between is digit is 3 what prime number is anum thinking of?

Answers

Answer:
41 or 47

Explanation:
First, list all the prime numbers from 40 to 60.
They are 41, 43, 47, 53 and 59.

It says the difference between each digit is 3, so we have to subtract the smaller digit from the larger digit in our list of prime numbers above.

4-1=3
4-3=1
7-4=3
5-3=2
9-5=4

Both 41 and 47 have a difference of 3 between their digits. So your answer is 41 or 47.
Hope this helped you!


Answer:There are two possible answers. 41 and 47

Step-by-step explanation: These both have a difference of 3 between the digits. Other prime numbers between 40 and 60: 43, 53, 57, 59 have differences of 1, 2, and 4.

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