Which expressions are equivalent to the one below? Check all that apply.
log(107)
A. 7.log 10
B. 1
O C. 7
D. 7. 10

Answer:

Simple use tangent, which is equal to opposite divided by adjacent, so tan34=x/16, so multiply both sides by 16 to get x=10.79213627

Step-by-step explanation:

9514 1404 393

Answer:

  153.6 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh . . . . . . where B is the area of the base, and h is the height

The area of the triangular base is given by the formula ...

  A = 1/2bh . . . . where b and h are the base and height of the triangle

For a right triangle, the lengths of the legs can be used for the base and height.

The base area is ...

  A = (1/2)(6 mm)(8 mm) = 24 mm²

Then the volume is ...

  V = (24 mm²)(6.4 mm) = 153.6 mm³

Answer:

angle 1=149°

angle 2=31°( because they are alternating angles)

Answer:

[tex]8x + 152 = 224 \\ 8x = 72 \\ x = 9[/tex]

Answer: = 6

Step-by-step explanation: Hope this help :D

Answer:

346.50

Step-by-step explanation:

550 discounted by 30% is 385.00.

385.00 discounted by 10% is 346.50

Answer:

The sequence is

Each term is the sum of the consecutive numbers from 1 to that number.

The nth term is the sum of the first n numbers:

1) The number of circles in the nth pile is n(n + 1)/2

2) When n tends to infinity the number of circles tends to infinity

Answer:

x = 209.2

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area to the left of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X, which is the area to the right of X.

Mean of 185 and a standard deviation of 20.

This means that [tex]\mu = 185, \sigma = 20[/tex]

Find the value of x so that the area under the normal curve to the left of x is approximately 0.8869.

This is X when Z has a p-value of 0.8869, so X when Z = 1.21.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.21 = \frac{X - 185}{20}[/tex]

[tex]X - 185 = 20*1.21[/tex]

[tex]X = 209.2[/tex]

So

x = 209.2

Answer: J

Step-by-step explanation:

J is the expression we would use to find "nine divided by five"

Whatever is inside the little box-looking thing (not sure how to describe it) is being divided by the number on the outside of the box-looking thing.

Answer:

The one all the way to the right

Step-by-step explanation:

30 ÷ X = 6

30 ÷ 5 = 6

Answer:

no.6 is 22in. while in no.7 is 18cm

Answer:

4p^3-3 jejeieooejejenjekeoeoeo

Answer:

1.25π

π/9

-17π/12

-7π/9

5π/12

-5π/3

Step-by-step explanation:

To convert degrees into radians mulitply it by π/180

225/180=1.25

1.25π

20/180=1/9

π/9

-255/180= -17/12

-17π/12

-140/180=-7/9

-7π/9

75/180=5/12

5π/12

-300/180= -5/3

-5π/3

Answer:

3 X 1/2

Step-by-step explanation:

I started by eliminating C and B because of adding and subtraction in the problem.

Answer:

3 x 1/2

Step-by-step explanation:

there are 3 groups of 1/2

Answer:

P(d) = 62 - 2d

Step-by-step explanation:

P = pound per square inch

d = days

(52 - 46) / 3 = 2

46 + 2 * 8 = 62

Given:

A figure of a right triangle whose altitude divides the opposite in two segments of 8 and 4 units.

The measure of the altitude is n.

To find:

The value of n.

Solution:

According to the altitude on hypotenuse theorem, the altitude on the hypotenuse of a right triangle is geometric mean of two segments of the hypotenuse.

Let the altitude h divides the hypotenuse in two parts with measure a and b, then

[tex]\dfrac{h}{a}=\dfrac{b}{a}[/tex]

[tex]h^2=ab[/tex]

[tex]h=\sqrt{ab}[/tex]             [Because side length cannot be negative]

In the given figure, the altitude is n and it divides the hypotenuse in two segments of 8 units and 4 units.

Using altitude on hypotenuse theorem, we get

[tex]\dfrac{n}{8}=\dfrac{4}{n}[/tex]

[tex]n^2=4\times 8[/tex]

[tex]n^2=32[/tex]

[tex]n=\sqrt{32}[/tex]

Therefore, the measure of altitude is [tex]n=\sqrt{32}[/tex] units.

Answer:

a. The scale factor from Drawing 1 to Drawing 2 is 40%

b. The length of the bottom side of Drawing 2 is 7.8 cm

Step-by-step explanation:

5.2 / 13 = 26 / 65 = 2 / 5 = 4 / 10 = 0.4 = 40%

19.5 / 2.5 = 39 / 5 = 78 / 10 = 7.8

Answer: 4 units

Step-by-step explanation: IT cant be 2x2 or else it would be a square

so it would have to be that the width is 1 unit and the lenght is 4 units.

Answer:

C

Step-by-step explanation:

Take the coefficient of the linear term and divide it by 2

9/2

Then square it 81/4

That should either be added to the 11 or subtracted from the 15.

The answer is C

Answer:

(-2, - 11)

Step-by-step explanation:

Coordinate of preimage = (4, - 3)

Pre image is translated <-6,-8>

X - coordinate of preimage = 4

Translation, x coordinate + (-6)

Y - coordinate of preimage = - 3

Translation, x coordinate + (-8)

Image will be located at (4+(-6) ; - 3+(-8))

Hence, we have (-2, - 11)

Using the combination formula, it is found that these two positions can be filled in 780 ways.

The order in which the positions are filled is not important, for example, João and Elisa is the same outcome as Elisa and João, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, two people are taken from a set of 40, hence the number of ways is given by:

[tex]C_{40,2} = \frac{40!}{2!38!} = 780[/tex]

More can be learned about the combination formula at https://brainly.com/question/25821700

#SPJ1

Answer:

The statement is false.

Step-by-step explanation:

We know that all integer numbers can be written as a product of prime numbers.

For example:

15 = 5*3

15 is a product of two prime numbers, 5 and 3.

28 = 2*2*7

28 is the product of two prime numbers, 2 two times, and 7.

Now, we want to prove that in any set of 9 positive integers, some of them share all of their primary factors that are less than or equal to 5.

Now, let's try to find a counterexample to see if this is false.

The first idea that comes to mind is, what with a set of 9 positive prime numbers?

(2, 3, 5, 7, 11, 13, 17, 19, 23)

So none of these numbers share their primary factors (where the "1" is not considered as a primary factor)

And another counterexample could be:

(2, 3, 5, 7, 11, 13, 17, 6, 10)

Here 6 = 2*3

        10 = 2*5

So 6 and 10 share a primary factor (the two) but do not share all of their primary factors that are less than or equal to 5.

So we found two counterexamples of the statement, so we can conclude that the statement is false.

Answer:

Step-by-step explanation:

the last answer looks good

Answer:

104 in²

Step-by-step explanation:

look at the picture above... by splitting the figure, we get two rectangles.

a1= 5×4 = 20in²

a2= 12×7= 84 in²

total area = a1+a2 = 20+84=104in²

Answer:

Step-by-step explanation:

x/.004 = 60

solve x

x = .24

Answer:

there is a problem b is -1 because of the invisible 1 so when I solved it I got a negative 119 so I can't get the square root please check the question I'll try to resolve it

Answer:

Solution given:

lowest =0

highest=11

the range in hours spent watching Netflix=

highest-lowest =11-0=

Range is 11.

Solution : here ,

lowest = 0

Highest = 11

the range in hours spent watching Netflix

=highest — lowest

= 11 —0

= 11

the range = 11

hope it is helpful to you

Answer:

0.4114 = 41.14% probability that he answers at most three of them are correct

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20 questions:

This means that [tex]n = 20[/tex]

Assume that each question has five possible choices, and only one of them is correct.

This means that [tex]p = \frac{1}{5} = 0.2[/tex]

What is the probability that he answers at most three of them are correct?

This is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.2)^{0}.(0.8)^{20} = 0.0115[/tex]

[tex]P(X = 1) = C_{20,1}.(0.2)^{1}.(0.8)^{19} = 0.0576[/tex]

[tex]P(X = 2) = C_{20,2}.(0.2)^{2}.(0.8)^{18} = 0.1369[/tex]

[tex]P(X = 3) = C_{20,3}.(0.2)^{3}.(0.8)^{17} = 0.2054[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0115 + 0.0576 + 0.1369 + 0.2054 = 0.4114[/tex]

0.4114 = 41.14% probability that he answers at most three of them are correct

9514 1404 393

Answer:

  The description of the translation direction should be "up", not "down."

Step-by-step explanation:

The blue graph of y = x²+3 is above the graph of the parent function y = x². That is, it is a copy of y = x² that has been moved (translated) up.

The correct description is ...

  The graph of y=x²+3 is a translation 3 units up of the graph y=x².

Answer:

A. The grocery list the user input

Step-by-step explanation: