Question 1 (1 point)
(07.03)
Evaluate log3 9. (1 point)

a
2

b
3

c
0.33

d
0.5

Question 2 (1 point)
(07.03)
Evaluate log8 12. (1 point)

a
0.84

b
0.67

c
1.50

d
1.19

Question 3 (1 point)
(07.03)
Evaluate ln 7. (1 point)

a
0.51

b
1.95

c
0.85

d
1.61

Question 4 (1 point)
(07.03)
Write log4 14 as a logarithm of base 3. (1 point)

a
log base 4 of 3 over log base 14 of 3

b
log base 14 of 3 over log base 4 of 3

c
log base 3 of 4 over log base 3 of 14

d
log base 3 of 14 over log base 3 of 4

Question 5 (1 point)
(07.03)
Write log6 5 as a logarithm of base 4. (1 point)

a
log base 4 of 5 over log base 4 of 6

b
log base 4 of 6 over log base 4 of 5

c
log base 5 of 4 over log base 6 of 4

d
log base 6 of 4 over log base 5 of 4

Question 6 (1 point)
(07.03)
Solve log4 (y − 9) + log4 3 = log4 81. (1 point)

a
y = 30

b
y = 36

c
y = 87

d
y = 108

Question 7 (1 point)
(07.03)

Simplify 5 log2 k − 8 log2 m + 10 log2 n. (1 point)

a
7 log2 (k − m + n)

b
7 log2kn over m

c
log250 kn over 8 m

d
log2k to the fifth power n to the tenth power over m to the eighth power

Question 8 (1 point)
(07.03)
Solve 2 log x = log 36. (1 point)

a
x = ±6

b
x = 6

c
x = 18

d
x = 72

Question 9 (1 point)
(07.03)
Solve 4 log12 2 + log12 x = log12 96. (1 point)

a
x = 88

b
x = 80

c
x = 12

d
x = 6

Question 10 (1 point)
(07.03)
Solve 2 log2 2 + 2 log2 6 − log2 3x = 3. (1 point)

a
x = 2

b
x = 6

c
x = 16

d
x = 18

Answer:

Step-by-step explanation:

It’s going to be 42 inches and 40 inches because we are simplifying

The solution is, 40 inches ,or, 7 inches ,or,  18 inches, could be the length of the third side of the triangle that Camila drew.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, we have,

given that,

Camila drew a triangle with a side that is 24 inches long

and a side that is 18 inches long.

we know, that,

sum of length of two sides > third side,

so, the possible lengths are,

40 inches , 7 inches , 18 inches

Hence, The solution is, 40 inches ,or, 7 inches ,or,  18 inches, could be the length of the third side of the triangle that Camila drew.

To learn more on triangle click:

brainly.com/question/29126067

#SPJ6

Answer:

Yes true

Step-by-step explanation:

the numbered add up

How to get the mode:

- To find the mode or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.

{3, 4, 5, 5, 6, 7, 10, 11, 12} => 5

How to get mean:

- The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.

(3 + 12 + 11 + 7 + 5 + 5 + 6 + 4 + 10) / 9

=> 63 / 9

=> 7

How to get median:

- To find the median, first order the numbers from smallest to largest. Then find the middle number

3, 4, 5, 5, 6, 7, 10, 11, 12

So the middle number is 6

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

Mean: 7

Median: 6

Mode: 5

Answer:

-12x  - 8

Step-by-step explanation:

Distributive property: a*(b + c) = (a*b) + (a *c)

2(-6x - 4) = -6x *2 - 4 * 2

              = -12x - 8

Answer:

7.5

Step-by-step explanation:

if one square is unit then use area formula for a right triangle which is 1/2bh

since height is 5 and base is 3, 5*3= 15 and 15/2= 7.5

hope this helps

Answer:

im guessing 100 milligrams of vitamin c

Step-by-step explanation:

Answer:

100 mg

Step-by-step explanation:

you could think of it like this: if you divide 200mg and 200% both by two you get 100mg for 100%

Answer:

42

Step-by-step explanation:

w/6 = 7

multiply both sides by 6

w = 42

Answer:

Variant D

Step-by-step explanation:

-2*(-2)*(-2)*(-2)=16

Answer:

angle 4 = 34 degrees

Step-by-step explanation:

angle 4 is equal to angle 2 because it is an alternate interior angle of 34 degrees.

Answer:

34

Step-by-step explanation:

<1+<2=180° because these are neighbour angle

X+34=180

X=146

Then you can apply the left side

X+146=180

X=34

Answer:

On a day when the high temperature is 79° F, the supermarket can expect to take in $380 in frozen yogurt sales.

Step-by-step explanation:

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Answer:

The slope of the line is: 1

Step-by-step explanation:

Use the equation

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Use the two sets of points given to you to slve the equation.

Assign the points their variables:

x1 y1 x2 y2

(4, 4) (8, 8)

Insert the numbers into the equation:

[tex] \frac{8 - 4}{8 - 4} [/tex]

Simplify:

[tex] \frac{4}{4} = 1[/tex]

Answer:

I think the option b

But not sure about it

Answer:

A. 5/9 square meters

Step-by-step explanation:

Given

Length (L) = 5/6 meter

Breadth (b) = 2/3 meter

Now

Area of the garden

= L * b

= 5/ 6 * 2 / 3

= 5 / 9 square meters.

Hope it will help :)

Answer:

y = 10x + 5

Step-by-step explanation:

Remember when x = 0 that is when you get your y-intercept. So when you look at the chart you  can see that your answer has to have a +5 so now you are  down to only to answers.

Now slope is the change of Y over the change of X , so 5 to 55 is 50

and 0 to 5 is 5

[tex]\frac{y}{x}[/tex]=[tex]\frac{50}{5}[/tex] and that equals 10

put both parts together and

y = 10x + 5

Answer:

C. V = π(2.5)²h

Volume = 19.6h

Step-by-step explanation:

Radius (r) of cylinder = ½ of 5 = 2.5 in.

Height (h) = h in.

Volume of a cylinder = πr²h

Equation that can be used to find B:

Plug in the values into the volume formula

V = π(2.5)²h

Volume = 19.6h

Answer:

y=[tex]\frac{12}{11}x[/tex]+[tex]\frac{-18}{11}[/tex]

Step-by-step explanation:

What you do first is you move the 12x to the other side of the equation to get

-11y=18-12x

Move the 12x to the front to get the slope intercept form set up

-11y=-12x+18

Then divide the whole thing by -11 to get the y to become by itself

y=[tex]\frac{12}{11}x[/tex]+[tex]\frac{-18}{11}[/tex]

The 12/11 will become positive and the b value will become negative

Answer:

22 meters

Step-by-step explanation:

If the penguin goes from 15 meters above sea level to sea level (0 meters), they traveled 15 meters in elevation.

Then they traveled another 7 meters when going 7 meters below sea level.

15 + 7 = 22

Hope this helps :)

Answer:

-3

Step-by-step explanation:

-3(-1)(-1)-(-1)^2(-1)^2+1

=-3

hopes this helps?!?!

Answer -2

Step-by-step explanation:

-3(-1)(-1)-(-1)^2(-1)^2+1

-3-1+1+1

-4+2

=-2

Answer:

2624

Step-by-step explanation:

30 * 64 = 1920

64 * 22 (1/2) = 704

1920 + 704 = 2624

i hope this helps, good luck :)

Answer:

-3

Step-by-step explanation:

can you mark me brainliest

Answer:

x=-3

Step-by-step explanation:

14-4x=26

-14       -14

-4x=12

/-4    /-4

x=-3

Answer:

B) 9

Step-by-step explanation:

15 minutes = 3 miles

15x3 = 45

3x3=9

Answer:

the slope is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

If x is the white dot on the graph:

From what it looks like, x is right between -35 and -34 x (which is -35.5).

If that is the case then none of the answers are correct since -35.5 is equal or less than x. (the sign looks like this:  "[tex]\leq[/tex]" )

But if you have to choose one of the answers then number 4 (-35.5 < x) would be closest.

Answer: No

15.09 is greater than 12.63

Answer: She will owe $12.50 at the end of the week, and her account balance will be -12.50 dollars.

Step-by-step explanation:

A school week is 5 days. If Ms. Ortiz borrows $2.50 every day, then we will have to multiply 2.50 by 5 to find how much Ms. Ortiz owes at the end of the week.

2.50 x 5 = 12.5, or $12.50.

Therefore, Ms. Ortiz owes $12.50 at the end of the week, and her account balance will be -12.50.

Answer: $28.80

Step-by-step explanation:

We can start by finding the unit rate. How much money does Kevin earn from writing 1 story problem?

We can find how much Kevin earns from writing 1 story by dividing 12 by 5.

12 ÷ 5 = 2.4.

Therefore, Kevin earns $2.40 for every story he writes.

Now we have to find how much Kevin earns from writing 12 story problems. If Kevin earns $2.40 for every story he writes, then we should mutliply that by 12 to find how much money Kevin earns for writing 12 problems.

2.40 x 12 = 28.8.

In conclusion, Kevin earns $28.80 dollars for writing 12 problems.