Mathematics High School

solve the following
[tex] log_{10} \: 35 - \: log_{10}17.5 [/tex]
[tex] log_{3} \: 27 + 2 log_{3} \: 9 - log_{3} \: 54[/tex]
[tex] log_{10} \: \frac{1}{2} [/tex]
​

Answers

Answer 1

Answer:

1. [tex] log_{10} \: 35 - \: log_{10}17.5 [/tex]

Answer: 0.331 \: aprox. [/tex]

2. [tex] log_{3} \: 27 + 2 log_{3} \: 9 - log_{3} \: 54[/tex]

Answer: -9 log_{3}

Explanation:

[tex] log_{10}35 - log_{10}17.5 \\ = log_ \frac{35}{17.5} \\ = log_{10}0.5 \\ = log_{5} - log_{10}10 \\ = log_{5 - 1} \\ = 0.669 - 1 \\ = 0.331 \: aprox. [/tex]

Solve The Following[tex] Log_{10} \: 35 - \: Log_{10}17.5 [/tex][tex] Log_{3} \: 27 + 2 Log_{3} \: 9
Solve The Following[tex] Log_{10} \: 35 - \: Log_{10}17.5 [/tex][tex] Log_{3} \: 27 + 2 Log_{3} \: 9

Related Questions

Give the vertices of a triangle that 3 times as big as ABC if A(0,0), B(2,6), C(6,4). (centered at the origin)

Answers

Answer:

wndie xueu xr

Step-by-step explanation:

nx9rkc9emxirnx8rm

{y=10x+2
-5x+4y=-27
this is systems of equations

Answers

[tex]y = 10x +2~~....(i) \\\\-5x +4y = -27~~....(ii)\\\\\text{Substitute y =10x+2 in equation (ii):}\\\\\\-5x +4(10x+2) = -27 \\\\\implies -5x + 40x + 8 +27 =0\\\\\implies 35x +35=0\\\\\implies 35(x +1) =0\\\\\implies x +1 = 0 \implies x = -1\\\\\text{Substitute} ~x =-1 ~ \text{in equation (i):}\\\\y = 10(-1) +2 = -10+2 = -8 \\\\\\\text{Hence}~ (x,y) = (-1,-8)[/tex]

Answer:

  (x, y) = (19/35, 52/7)

Step-by-step explanation:

When you have an expression for one of the variables, the "substitution" method of solution is a reasonable choice. Here, we have an expression for y that can be substituted into the second equation.

  -5x +4(10x +2) = 27

  35x +8 = 27 . . . . . . . simplify

  35x = 19 . . . . . . . subtract 8

  x = 19/35 . . . . divide by the coefficient of x

  y = 10(19/35) +2 = 52/7

The solution is (x, y) = (19/35, 52/7).

I have a question regarding trignometry

How does Sin(180°-θ) = Sinθ
and how does Cos(180°-θ) = -Cosθ

Answers

Step-by-step explanation:

If A is acute, cos (180 - A) = - cos A (because the coordinates would be in 2nd quadrant)

If A is right angle, cos (180 - 90) = cos 90 = 0

(because the coordinates would be on y-axis)

If A is obtuse, cos (180 - A) = + cos A (because the coordinates would be in 1st quadrant)

6 times 67.............................................................................................................

Answers

Answer:

402

Step-by-step explanation:

Please Help me i need help Pleaaaasssseeeee im not good at numbers ._. Find the equation of the line that passes through the point (2,-6) and is perpendicular to the line y=1/4x-2.

Answers

Answer:

y = -4x + 2

Step-by-step explanation:

1) Find perpendicular slope

1/4 = -4

2) Plug in x and y

y = -4x + b

((((( y = -6, x = 2 ))))))

-6 = -4(2) +b

-6 = -8 + b

2 = b

3) Return to equation but plug in b, but not x and y

y = -4x + 2

The distance from Scott's house to school is 3/5 of a mile scott walked 2/3 of the way there before he stopped to pick up his friend. How far did Scott walk?

Answers

Answer:

2/5

Step-by-step explanation:

2/3 of 3/5 means to multiply the fractions to get 6/15

6/15 can be reduced by dividing by 3 to get 2/5

-u+14=170 solve for u

Answers

Answer:

u = -156

Step-by-step explanation:

-u + 14 = 170

    - 14    - 14

       -u = 156

       u = -156

Hope this helps!

Answer:

u = -156

Step-by-step explanation:

-u+14=170

-u+14-14=170-14

-u=156

-u/-1=156/-1

u=-156

Can anyone help me explain why

Answers

It’s not a function because point Z (2,3) and point T (2,5) has the same X coordinate. Use the line test from left to right, both points will hit the line at the same time because they have the same X coordinate.

Solve the problem.The world population of a certain species is evaluated at 5.1× 1010. By some projections, this population will be 3 times more important in 30 years. Express the population at that time in scientific notation.

Answers

Large population can be represented in scientific notations

The population in 30 years time is 1.53 * 10^11

The current population is given as:

[tex]\mathbf{Population = 5.1 \times 10^{10}}[/tex]

In 30 years time, the population would be 3 times more.

This means that, the population in 30 years time is: 3 multiplied by the current population.

So, we have:

[tex]\mathbf{New = 3 \times Population}[/tex]

So, we have:

[tex]\mathbf{New = 3 \times 5.1 \times 10^{10}}[/tex]

Multiply

[tex]\mathbf{New = 15.3 \times 10^{10}}[/tex]

Rewrite as:

[tex]\mathbf{New = 1.53 \times 10^{11}}[/tex]

Hence, the population in 30 years time is 1.53 * 10^11

Read more about scientific notations at:

https://brainly.com/question/1705769

y=6x+8 when x=-3 what does y equal

Answers

Answer:

-10

Step-by-step explanation:

Multiple

6*-3=-18

Calculate

-18+8

Answer

y=-10

I believe it is -26. For future reference, take 6 • -3 = -18. Then add 8, so -18 - 8 = -26. Y = -26!

PLZ HELP 500 POINTS AND BRAINLIEST

Answers

Answer:

26 meters

Step-by-step explanation:

Answer:

the answer is 20.

add up the length, and the hight,

then times it by 2.

BOOM

you get the answer :)

Step-by-step explanation:

Hellpppppppppp I will mark brainliest

Answers

Answer:

this answer is 6

Step-by-step explanation:

8a- 1 + 0.5b = 8(1/4) -1 +0.5(10)

= 6

Complete the equation of the line through (-9,7)and(-6-3)use exact numbers

Answers

Answer:

[tex]\boxed{y = -\dfrac{10}{3}x - 23}[/tex]

Step-by-step explanation:

Equation of a straight line: y = kx + b

Points: (-9,7) and (-6,-3)

Сompose the system of equations:

[tex]\displaystyle \left \{ {{7=-9k + b} \atop {-3=-6k + b}} \right[/tex] [tex]\displaystyle \left \{ {{b= 7 + 9k} \atop {b=6k - 3}} \right \Longrightarrow 7 + 9k = 6k - 3[/tex]

[tex]7 + 9k = 6k - 3[/tex]

[tex]3k = -10|:3[/tex]

[tex]k = -\dfrac{10}{3}[/tex]

[tex]b = 6k - 3= 6 \cdot \dfrac{-10}{3} - 3 = 2 \cdot (-10) - 3 = -20 - 3 = -23[/tex]

[tex]y = -\dfrac{10}{3}x - 23[/tex]

Use the table to work out the values of a , b , c , and d .​

Answers

Answer:

a= 10; b= 4; c= -2 ;d = -5

Step-by-step explanation:

[tex]f(x) = 1-3x\\f(-3) = 1-3(-3)=1-(-9)=1+9=10\\f(-1) = 4\\f(1) = -2\\f(2)=-5[/tex]

Given the diagram below, find the value of MQR.

Answers

Answer:

The answer is MQR= 48 degrees

Step-by-step explanation:

I got this answer from process of elimination. The first option was 48 degrees so I divided 48 by 3 and got 16 then I applied to (2x + 16): (2(16)+16) and got 48 which comfirmed my answer. Also I took the test and it was right so I know its correct.

X : Y = 5:4 and Y: Z = 3:5 find in its simplest form x : y : z

Answers

X:Y:Z is 15:12:20 when the two ratios are combined

Combine like terms and write an equivalent expression with the fewest number of terms 10x-5+3x-2

Answers

Step-by-step explanation:

= 10x - 5 + 3x - 2

= (10 + 3)x + (-5 - 2)

= 13x - 7

help me yall pleasee :(

Answers

Answer:

line 2 has a mistake, you are supposed to add 6x to both sides and instead they subtracted

During a thunder storm, the amount of rain on the ground increased at an average rate of 0.25 inch per hour. There was already 4.5 inches of rain on the ground when the storm started. Write an equation that can be used to determine the total amount of rain on the ground (T), in inches, after h hours of the storm.

Answers

4.5 + 0.25T

Explanation: 4.5 inches of rain already exist on the ground and 0.25 inches are being added every hour. And since the amount of hours are “T”, the amount of rain after T hours will be 0.25T

Casey earned $220 selling baked goods. Her expenses were $2.50 per baked good. Which equation can be used to find b, the number of baked goods Casey would have to sell in order to make a profit of exactly n$100?

a. 220 - 2.50b = 100

b. 220 + 2.50b = 100

c. 220b - 2.50 = 100

d. 220b + 2.50 = 100

Answers

The correct answer would be equation letter A.

Two functions are shown below:
Function A
х 0 3
Function B
y=3x + 2
1. What is the rate of change of function A?
a) 2
b) 6
c) 3
d) 4

Answers

Answer:

a

Step-by-step explanation:

y=3x+2 = x 0 3 x 14

72/91 = 13

You are riding your bicycle and it takes you 15 minutes to go 3.5 miles. How fast are you
going in miles per hour (mph) ?

Answers

Answer:

14 miles per 1 hour (14m/1hr), I hope this helps :)

Derma roll 60 mg is ordered you have 75 mg per 1 mL on hand how many milliliters should you administer to the patient per dose

Answers

Answer:

75mg subtracts 60mg equals 15

Answer: 15mg per dose

Step-by-step explanation: 75mg - 60mg = 15mg per dose

Solve for x.
(Round to the nearest
hundredths.)
3x = 12.25

Answers

Answer:

x = 4.08

Step-by-step explanation:

3x = 12.25

3/3x = 12.25/3

x = 4.0833..

x is about 4.08

Answer:

4.08

Step-by-step explanation:

12.25 / 3 = 4.0833333333333 and round

Mr. Murphy is designing a rectangular concrete fire pit. The concrete sides and bottom will be 5 inches thick. The interior length will be 3 times the interior
height and the interior width will be 2 times the interior height. What should the outer dimensions of the fire pit be if the inner volume is to be 6000 cubic
inches?
Enter the correct values in the boxes.

*15 is correct but 25 & 35 are wrong ..*

Answers

For the outer dimensions: length = 35 inches, width = 25 inches, and height = 15 inches.

Step-by-step explanation:

For the interior;

volume = 6000

length, l = 3h

width, w = 2h

height = h

But,

Volume of a cuboid = length x width x height

So that;

6000 = 3h x 2h x h

6000 = 6

Divide through by 6 to have;

1000 =

h =

 = 10

Thus, the height is 10 inches. Thus;

length, l = 3h = 3 x 10 = 30 inches

width, w = 2h = 2 x 10 = 20 inches

For the outer dimension, since the concrete sides and bottom would be 5 inches thick. Then its dimension are;

length, l = 30 + 5 = 35 inches

width, w = 20 + 5 = 25 inches

height = 10 + 5 = 15 inches

x2 + 3x + 3 = -2x - 3​

Answers

Answer:

Is this the question [tex]x^{2}[/tex]+3x+3=−2x−3

Step-by-step explanation:

[tex]x^{2}[/tex]+3x+3=−2x−3

Step 1: Subtract -2x-3 from both sides.

[tex]x^{2}[/tex]+3x+3−(−2x−3)=−2x−3−(−2x−3)

[tex]x^{2}[/tex]+5x+6=0

Step 2: Factor left side of equation.

(x+2)(x+3)=0

Step 3: Set factors equal to 0.

x+2=0 or x+3=0

x=−2 or x=−3

ava has a number cube with six equal sides numbered one through six if she rolls the number cube 60 times how many times can she expect to land on a greater number

Answers

Answer:

10

Step-by-step explanation:

Since there are six sides, and only one side has a 3 on it, you will roll a 3 1/6 times. So multiply 1/6 by 60 and you get 10

BRAINLIEST?

Answer:

true answer is 10

Step-by-step explanation:

thats the true answer

Pabilo wishes to grow his baseball card collection to at least 3000 cards. He currently has 1200 cards and knows that his favorite type of cards have 15 cards per package. Which inequality and solution represent the number of packages of cards that Pablo wishes to buy? Select TWO that apply.

A. p + 1200 >= 300 p >= 1800

B. 15p + 1200 >= 300 p >= 120

C. 1200 + 15p >= 3000 p >= 280

D. 3000 <= 1200 + 15p 120 <= p

E. 3000 <= 1200 + 15p 120 >= p

F. 3000 <= 15p + 1200 280 <= p

Answers

Answer:

X>120

Step-by-step explanation:

hope it helps!! :)

Could anyone help me out here?​

Answers

Answer:

It the first one BC a and b connects so it make it a 1 one

Solve for c.

3(c + 1) = 18

c =

Answers

Answer:

c=5

Step-by-step explanation:

3(c+1)=18

DIVIDE BOTH SIDES BY 3

3(c+1)/3=18/3

SIMPLIFY

c+1=6

SUBTRACT 1 FROM BOTH SIDES

c+1-1=6-1

Answer: c=5

#keep studyingpaki brainlest nalang
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