Mathematics High School

How would you expand log412 so that it can be evaluated, given log43 ≈ 0.792? Log Subscript 4 Baseline 3 times log Subscript 4 Baseline 4 StartRoot a squared + b squared EndRoot log 3 + log 4 log Subscript 4 Baseline 3 + log Subscript 4 Baseline 4 log 3 times log 4

Answers

Answer 1

Answer: log412 = 1.792

Step-by-step explanation:

log412 = log4(3 x 4)

log4(3 x 4) = log4(3) + log4(4)

log4(4) = 1

log4(3) = .792

1 + .792 = 1.792

log412 = 1.792

Related Questions

how many students are involved in the school music program but not school sports

Answers

Answer:

45% of the school because some will sign up

Rectangular pyramid B is the image of rectangular pyramid A after dilation by a scale factor of 33. If the surface area of rectangular pyramid B is 1215 cm^2
2
, find the surface area of rectangular pyramid A, the preimage.

Answers

After dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²

To find the area of rectangular pyramid A given rectangular pyramid B, we need to know its scale factor.

What is scale factor?

Scale factor is the ratio of the corresponding sides of two objects.

Now, since rectangular pyramid B is the image of rectangular pyramid A, we have that (since we are dealing with areas)

(Scale factor)² = surface area of rectangular pyramid B/surface area of rectangular pyramid A

Surface area of rectangular pyramid A

So, surface area of rectangular pyramid A = surface are of rectangular pyramid B/(scale factor)²

Since

scale factor = 33 and surface area of rectangular pyramid B = 1215 cm²

surface area of rectangular pyramid A = surface area of rectangular pyramid B/(scale factor)²

So, substituting the values of the variables into the equation, we have

surface area of rectangular pyramid A = 1215 cm²/33²

= 1215 cm²/1089

= 1.12 cm²

So, after dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²

Learn more about scale factor here:

https://brainly.com/question/26467371

Someone please help!!!!

Answers

Answer:

Step-by-step explanation:

quadratic values always set to 0 due to the x-intercept which you find from the equation

The prism below has dimensions 2 inches by 3 inches by 4 inches. To the right of the prism, shade the number of prisms necessary, if stacked on top of each other as shown, to create a new prism with a surface area between 100 square inches and 130 square inches.
HELPPPPPPPPPPPP

Answers

The area of the stacked prism is the amount of space on it

To create a total area between 100 square inches and 130 square inches, 2 to 2.5 prisms

How to determine the number of prisms?

The dimension of the prism is given as:

2 inches by 3 inches by 4 inches

The surface area of the prism is calculated as:

A = 2 * (LW + WH + LH)

This gives

A = 2 * (2 * 3 + 3 * 4 + 2 * 4)

Evaluate the product

A = 52

When the prisims are stacked onto one another, the surface area is between 100 square inches and 130 square inches.

So, the number of prisms (n) needed is:

100/ 52 < n < 130/52

Evaluate the quotient

1.9 < n < 2.5

Approximate

2 < n < 2.5

Hence, 2 to 2.5 prisms are needed to create a total area between 100 square inches and 130 square inches.

You use the equation y=mx+b and substitute m for the slope/gradient. Then you use (2,5) to subtitue for y and x. Solve the equation for b. Then you have your slope and b, and you can make your equation from this.

6. A number solid with faces labeled 1 through 16 is rolled. What is the probability that the number 16 will appear facing up when the solid is rolled? Record the answer as a simplified fraction.

Answers

Answer:

1/16 chance that it will land on 16 because there are 16 faces

Answer:

1/16.

Step-by-step explanation:

That will be 1 chance in 16.

The following points lie on a certain line.
х, у
-2, -11
1. -5
4, 1
6, 5
What is the equation of the line?
Oy=-3x + 3
Oy - 2x - 3
Oy - 2X-7
o y = -4x + 2

Answers

[tex]y = 2x - 7[/tex]

should be it

Write a two-column proof on a space provided

Answers

Answer:

Step-by-step explanation:

Which is the recursive formula for this arithmetic sequence? an = an – 1 7 where a1 = –10 an = an – 1 17 where a1 = –10 an = 7an – 1 - 17 where a1 = –10 an = an – 1 – 7 where a1 = –10.

Answers

Answer: 1. 10

2. an = an - 1 + 7 where a1 = -10

Step-by-step explanation:

Answer: A. an = an – 1 + 7 where a1 = –10

Step-by-step explanation:

Select the correct answer. Which graph represents this equation? y − 4 = -3(x + 5) A. B. C. D.

Answers

D is the graph closest to the one shown

I don't know how to answer this, please help!

Answers

the simplified equation is 4x^2-3x+2

A’B’C’ is a reflection of ABC over the y_axis. What is the length of A’C’?

Answers

~Denki~

Answer:

the length of "AC" should be the same as it was before it was reflected over the y-axis.

(there is no picture so i cant get as specific as intended)

hope this helps :D

On Saturday, Mark sold 2 7/8 gallons of lemonade.On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons, did Regan sell?

Answers

The quantity of lemonade that Regan sold on saturday given the amount sold by Mark is 1 11/12 gallons.

What are fractions?

Fractions are non-integers that consist of a numerator and a denominator. A proper fraction is a fraction in which the numerator is less than the denominator. e.g. 2/3. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 7/8.

How much lemonade did Regan sell?

2 7/8 x 2/3

23/8 x 2/3 = 23/12 = 1 11/12 gallons

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

Use the image below to find the missing side lengths.

Answers

Answer:

Step-by-step explanation:

If 140 people were surveyed how many preferred crab? /////Show your work!

Answers

[tex]\qquad\qquad\huge \: \sf Answer[/tex]

Number of people who prefer crabs are :

[tex] \\qquad \tt \dashrightarrow \:{30\% \:\: of \:\: 140} [/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{30}{100} \times 140 [/tex]

[tex]\qquad \tt \dashrightarrow \:3 \times 14[/tex]

[tex]\qquad \tt \dashrightarrow \:42 \: \: people[/tex]

Fiona is studying how income taxes impact various families and their finances. She creates a table with various amounts of taxes owed and estimates that this represents 9% of each family’s gross income.

Answers

Using proportions, it is found that the values that complete the table, from top to bottom, are given by: $670, $920, $1500, $2100.

What is a proportion?

A proportion is a fraction of a total amount.

Considering that the amounts in taxes correspond to 9% of the gross income, we have that for each family, we will find the incomes as follows:

Family 1:

0.09I = 60.30.

I = 60.30/0.09

I = $670.

Family 2:

0.09I = 82.80.

I = 82.80/0.09

I = $920.

Family 3:

0.09I = 135.00.

I = 135.00/0.09

I = $1500.

Family 4:

0.09I = 189.00.

I = 189.00/0.09

I = $2100.

More can be learned about proportions at https://brainly.com/question/24372153

ayuda porfa, quien entiende???

Answers

Answer:

Step-by-step explanation:

the right answer is c it good

Sheila is biking at a constant speed. She travels 54 meters in 9 seconds.
How long in seconds would it take Sheila to travel 90 meters at this speed?
Enter the number in the box.

Answers

It would take her 15 seconds to reach 90 meters

The change in the x-coordinates of any two points on a line in the xyplane is
the
O A. slope
B. rise
C. run
D. angle
SUBMIT

Answers

Answer: The change in the x-coordinates of any two points on a line in the XY plane is the:RUN

Step-by-step explanation:

The length of a rectangle is twice its width, The perimeter of the rectangle is 36ft. what are the length and width of the rectangle?

Answers

Answer:

length is 12 feet and the width is 6 feet

Step-by-step explanation:

w=width l=length

l=2w

2l+2w=36ft

4w+2w=36ft

6w=36ft

w=6ft

l=2*6=12ft

Find the binomials that created the generic rectangle below.

Answers

I think the answer is 12x* - 14x +4

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