HELP- 11 points!

Find three consecutive integers with a sum of -36. First, write an equation, then solve.

Note: Consider the base of all is 3 instead of comma.

Given:

Consider the given value is [tex]\log_37=1.77[/tex].

To find:

The value of [tex]\log_363[/tex].

Solution:

Using properties of logarithm, we get

[tex]\log_363=\log_3(9\times 7)[/tex]

[tex]\log_363=\log_3(3^2\times 7)[/tex]

[tex]\log_363=\log_3(3^2)+\log_3(7)[/tex]       [tex][\because \log ab=\log a+\log b][/tex]

[tex]\log_363=2+ \log_3(7)[/tex]    [tex][\because \log_aa^x=x][/tex]

[tex]\log_363=2+1.77[/tex]        [tex][\because \log_37=1.77][/tex]

[tex]\log_363=3.77[/tex]

Therefore, the value of [tex]\log_363[/tex] is 3.77.

Applying logarithm properties, it is found that:

[tex]\log_3{63} = 3.77[/tex]

We want to find [tex]\log_3{63}[/tex], considering that [tex]63 = 7 \times 9 = 7 \times 3^2[/tex], we have that:

[tex]\log_3{63} = \log_3{(7 \times 3^2)}[/tex]

The first property applied is:

[tex]\log{a \times b} = \log{a} + \log{b}[/tex]

Hence:

[tex]\log_3{63} = \log_3{(7 \times 3^2)} = \log_3{7} + \log_3{3^2}[/tex]

The next property is:

[tex]\log_a{a^b} = b[/tex]

Hence:

[tex]\log_3{7} + \log_3{3^2} = 1.77 + 2 = 3.77[/tex]

A similar problem is given at https://brainly.com/question/2620660

Answer:

C.CAE

because those two planes never touch

Answer:

x=3

Step-by-step explanation:

cross multiply

12.5*2=30

10*x=10x

10x=30

/10

x=3

Answer:

30

Step-by-step explanation:

2.5X12=30

Answer:

the number of times  will Aiden hit the ball is 7

Step-by-step explanation:

The computation of the number of times will Aiden hit the ball is shown below:

She hit 35% of the times

i.e.

= Given percentage of number of times

= 35% of 20

= 35 ÷ 100 × 20

= 0.35 × 20

= 7

Hence, the number of times  will Aiden hit the ball is 7

We simply applied the above formula so that the correct value could come

The same is to be considered

Answer:

x=(-1)/4

Step-by-step explanation:

4x=1-2

4x=(-1)

x=(-1)/4

Answer:

1/4 equal pieces

Step-by-step explanation:

Total number of bowls of rice = 3

We are seeking servings of size 12

Then it means we are dividing 3bowls into 12 equal pieces

= 3/12 bowls

= 1/4 equal pieces

Which means each member of the family is getting 1/4 each of the bowl of rice

Therefore, 1/4 servings of size 12 can you make out of the 3 bowls of rice

Answer: I think that the answer is B

Step-by-step explanation:

Answer:

I think this is answer:

0.113-1.001-1.101

Step-by-step explanation:

Answer:

Part A: The higher the temp the more ice cream sold.

Part B

Step-by-step explanation:

Answer:

There are 4 toppings on a pizza that costs $15.

Step-by-step explanation:

To find the amount of toppings that are on a pizza that costs $15, you will need to consider that P=15, replace this value on the formula and then, solve for n that is the number of toppings on the pizza:

P=2n+7

15=2n+7

15-7=2n

n=8/2

n=4

According to this, the answer is that there are 4 toppings on a pizza that costs $15.

Answer:

mom will be sad

Step-by-step explanation:

YOU ARE A BEATIFUL AND AMAZING PERSON DONT DIE ON ME LIKE THIS

Answer:

1) B

2) A

3) H

4) E

Step-by-step explanation:

Answer:

The distance from the point to the line is approximately 3.2 units

Step-by-step explanation:

Distance From a Point to a Line

Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.

If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is

[tex]\displaystyle d= \frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}[/tex]

The line is given by the equation:

y=3x. We need to transform it into the specified form.

Subtracting 3x:

y - 3x = 0

Comparing with the general form of the line, we have

a=-3, b=1, c=0

The point (xo,yo) is (-1,7), thus:

[tex]\displaystyle d= \frac{|-3\cdot (-1)+1\cdot 7+0|}{\sqrt{(-3)^2+1^2}}[/tex]

[tex]\displaystyle d= \frac{|3+7|}{\sqrt{9+1}}[/tex]

[tex]\displaystyle d= \frac{|10|}{\sqrt{10}}[/tex]

[tex]\displaystyle d= \frac{10}{\sqrt{10}}[/tex]

[tex]d\approx 3.2[/tex]

The distance from the point to the line is approximately 3.2 units

Answer:

The ordered pairs are;

(-1,1) and (-2,3)

Step-by-step explanation:

Here, we want to select which ordered pair is not a solution to the given equation

The one that will not be a solution will be a point at which if we insert the x-value into the equation, we do not get the y-value at that point

For (3,7

2(3) + 1 = 7

For 0,1

2(0) + 1 = 1

For (-1,1)

= 2(-1) + 1 = -2 + 1 = -1

This is wrong

(-3,-5)

= 2(-3) + 1 = -6 + 1 = -5

(-2,3)

= 2(-2) + 1 = -4 + 1 = -3

This is wrong also

Answer:

14

Step-by-step explanation:

There are infinity equivalent fractions to 13

14

. See some examples:

13

14

26

28

39

42

52

56

65

70

78

84

91

98

104

112

117

126

130

140

143

154

156

168

169

182

182

196

195

210

208

224

221

238

234

252

247

266

260

280

...

The fraction equivalent of 13/14% is 13/1400.

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

So as per the question, the fraction equivalent of the given number will be

13/14% i.e 13/1400.

Now we have a rational number with us, the equivalent fraction can be obtained by multiplying similar numbers in both the numerator and denominator.

so if we multiply by 2 on both sides the fraction we get will be 26/2800.

so if we multiply by 10 on both sides the fraction we get will be 130/14000.

Hence we will get an infinite number of fractions equivalent to 13/14%.  
Learn more about Distance and Fraction, by the following link.
https://brainly.com/question/23135754
#SPJ2

Answer:

100d / (s+2h)

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

It is given that,

Rachael earned $42 for [tex]3\dfrac{1}{2}[/tex]  hours at her job today. It means,

For 7/2 hours, earning is $42

For 1 hour, we divide $42 by 7/2 as follows :

[tex]1\ h=\dfrac{42}{\dfrac{7}{2}}\\\\=\dfrac{42\times 2}{7}\\\\=\$12[/tex]

So, he will earn $12 per hour.

Answer:

Step-by-step explanation:

A: dividend;

B: divisor;

C: quotient

Answer:

22.57

Step-by-step explanation:

multiply 18.50 by .22 and add it to 18.50

Answer:

Elizabeth will pay $22.57 in total at the restaurant.

Step-by-step explanation:

First, you need to find the tip, which is 22% of the bill. 22% of 18.5 is 4.07. Then you add that number to the bill and get 22.57.

Answer:

i beleive its n-6

Step-by-step explanation:

Answer:

Lilly earns $170

Tilly earns $340

Step-by-step explanation:

Given that

Tilly earned twice as much as Lilly

If Lilly's earning = x, then Tilly's earning = 2x

Total amount they both earned = $510

x + 2x = $510

3x = $510

3x / 3 = $510 /3

x = $170

Hence,

Lilly earns x = $170

Tilly earns, 2x = 2* 170 = $340

Answer:

64%

Step-by-step explanation:

The first step is to calculate the increase

= 4100-2500

= 1600

Therefore the percentage increase can be calculated as follows

= increase/original number × 100

= 1600/2500 × 100

= 0.64 × 100

= 64%

Hence the percentage increase is 64%

Answer:-1

Step-by-step explanation:

the output of a function is the y value while the input is the x value.

so the question is asking what does the y value( output) have to be for the x value( input) to be zero.

since the graph is provided we can just look to see where the x values becomes zero ( the y axis is when all y values are zero)

we then can identify that the y intercept is -1

hope this helps!!

y=4.5x the equation for cranberries

Step-by-step explanation:

So the easiest way to solve this would be take the $18 and divide it by the 4 pounds you then get the unit price per pound which is $4.5 a pound

Answer:

48 degrees

Step-by-step explanation: