Devonte used the change of base formula to approximate log Subscript 8 Baseline 25. Which expression did Devonte use?
Log StartFraction 8 Over 25 EndFraction
StartFraction log 8 Over log 25 EndFraction
log StartFraction 25 Over 8 EndFraction
StartFraction log 25 Over log 8 EndFraction
Answers
Answer:
The last choice: log 25 Over log 8
Step-by-step explanation:
Because the change of base formula says:
log (subscript 8) of 25 = log (25) / log (8)
let log be the Common Log without subscripts
The change of base formula used by Devonte to approximate the logarithm expression log₈ 25 is log 25 / log 8.
How to express logarithm?Using logarithm theorem,
logₐ b = logₓ b / logₓ a
Therefore,
log₈ 25 can be express as follows;
Recall that the natural base is base 10
Therefore,
log₈ 25 = log 25 / log 8.
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Related Questions
Find the area of the shaded figure in the diagram below. Use 3.14 for π and round your answer to the nearest tenth.
Hurry Please! I need this ASAP
Answers
Answer: 38.5
Step by Step:
First you need to find the radius of the smaller circle. 2
Add 2 to 1 and 1 half which gives you 3.5
Next multiply 3.5 by 3.5 that equals 12.25
Lastly times 12.25 by 3.14 and you get 38.5
Answer:
yes that the right answer
Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volume of the
prism expressed as a fraction in simplest form is.
Answers
Answer:
Is there a Picture or something to see
Step-by-step explanation:
100 nautical miles equals about 185 km to the nearest kilometer how far in kilometers is 140 nautical miles.
Answers
Answer:
100 nmiles = 185 km
1 km = 100 n miles / 185
0.541 n miles / 1 km
140 n miles / 0.541 n mile / km = 259 km
Answer is 259 km
Step-by-step explanation:
What is 70% of 35?
А. 24.5
В. 35
C. 14
D. 28
Answers
Step-by-step explanation:
Step 1: Find the answer
70% * 35
0.7 * 35 = x
24.5 = x
Answer: Option A, 24.5
The answer is A.
Just multiply 70% by 35
A dot plot titled Age of Eagles going from 7 to 12. 7 has 1 dot, 8 has 2 dots, 9 has 4 dots, 10 has 2 dots, 11 has 3 dots, 12 has 2 dots. A dot plot titled Age of Lions going from 7 to 12. 7 has 0 dots, 8 has 0 dots, 9 has 2 dots, 10 has 2 dots, 11 has 5 dots, 12 has 4 dots.
The dot plots show the ages of players on two soccer teams. Which statements are true? Check all that apply.
The Lions have more variability in the ages of their players.
The Eagles have more variability in the ages of their players.
The Lions have more players.
The Eagles have more players.
The mean of the ages of Lions is less than the mean of the ages of Eagles.
Answers
Answer:
2 and 4
Step-by-step explanation:
nice try though
The true statements about the dot plots are:
B. Eagles have more variability (5)
D. The Eagles have more players (14)
What is the Variability of a Data?Variability is a measure of the degree to which the data values vary from the average value. In a dot plot, the range (max value - min value) is a measure of variability. The larger the range, the more the variability.
Range for age of the 14 players of eagles = 12 - 7 = 5
Range for age of the 13 players of lions = 12 - 9 = 3
The true statement are:
B. Eagles have more variability (5)
D. The Eagles have more players (14)
Learn more about variability of data on:
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Which table represents a function? sorry the image is sideways.
Answers
Answer:
The one with the orange background represents function.
Step-by-step explanation:
x-coordinates:-2, -1, 0, 1, 2
y-coordinates: -1,-1,0,1,2
FIRST TO ANSWER (CORRECTLY) GETS BRAINLIEST
I NEED HELP ASAP WE DIDN'T LEARN THIS :/
Answers
Answer:
A. 20°
Step-by-step explanation:
ΔABC's full internal angle measurements = 180°
m∠CAB = 80°
m∠ACB = 50°
m∠DBA = 30°
m∠DBC = ?
Add the measurements of the angles together, and subtract from the total:
m∠DBC = 180 - (80 + 50 + 30)
m∠DBC = 180 - (160)
m∠DBC = 20°
A. 20° is your answer.
~
Answer:
∠DBC = 20°
Step-by-step explanation:
∠A + ∠C + ∠ABC = 180 { sum of all angles of triangle}
50 + 80 + ∠ABC = 180
130 +∠ABC = 180
∠ABC = 180 - 130
∠ABC = 50°
∠ABD + ∠DBC = ∠ABC
30 + ∠DBC = 50
∠DBC = 50 - 30
∠DBC = 20°
If you had 20 equal parts, how would you shade in 20% of it? How much parts would you have shade in?
Answers
Answer:
4
Step-by-step explanation:
20 percent is 1/5. 1/5 of 20 is 4.
You would need to shade in 4 parts.
20% of something is equal to 1/5 (because 100/5=20), so you would need to find 1/5 of 20. You can do this by dividing 20 by 5, and 20 ÷ 5 = 4.
I hope this helps!
Use the ratios above to make a conclusion about the angles measures of triangle ABC and triangle JKL
Answers
Answer:
One is bigget
Step-by-step explanation:
Define parallel lines.
Lines in the same plane that intersect.
Lines in the same plane that never intersect.
Lines in the same plane that intersect to form a 90° angle,
Einest the same plane that Ateneet teena
g
le
Answers
Answer:
Lines in the same plane that intersect to form a 90 degree angle
Step-by-step explanation:
Final answer:
Parallel lines in Euclidean geometry are lines in the same plane that never intersect, maintaining a consistent distance from each other. The parallel postulate ensures the uniqueness of parallel lines through a given point relative to a line.
Explanation:
Parallel lines are defined as lines in the same plane that never intersect no matter how far they are extended in either direction. This concept is a fundamental part of Euclidean geometry, and it is also important in understanding the basis of linear perspective, where parallel lines appear to converge as they recede into the distance.
Moreover, while discussing the relationship between planes and lines, if three nonparallel planes are considered, they typically intersect in a single unique point or along a single line, depending on their orientation and equations. In contrast, parallel lines would not provide such a point or line of intersection since they never meet.
The volume of a cone is 48π cubic inches. The cone has a height of 36 inches. Mark is finding the radius of the cone. Complete his work. 1. Rewrite the formula including the area of the base: 2. Substitute the values into the formula: 3. Simplify the right side: 4. Divide 12π to both sides: Step 5 is to . The radius of the cone is . V = 1 3 πr²h 48π = 1 3 πr²(36) 48π = 12πr² 4 = r²
Answers
Answer:
C and A
Step-by-step explanation:
Step 5 is to ( C ) take the Square root of both sides
The radius of the cone is ( A ) 2 inches
The radius of the cone is 2 inches.
The volume of cone:The volume of a cone is determined by the amount of space occupied by the cone. A three-dimensional figure having a single circular base is known as a cone. The base and the vertex are connected by a curved surface. A cone with a radius of r has a volume V that is one-third the area of the base B times the height h.
[tex]V=\frac{1}{3} \pi r^{2} h[/tex] or [tex]V=\frac{1}{3} Bh[/tex],
Since, [tex]B=\pi r^{2}[/tex]
How to determine the volume of cone?Given that the volume of cone V is 48π cubic inches and Height of the cone h=36 inches.Volume of cone [tex]V=\frac{1}{3} \pi r^{2} h[/tex] -------1
Here, the base of the cone is circular in shape and the area of circle is [tex]\pi r^{2}[/tex]. Consider [tex]B=\pi r^{2}[/tex]
Substituting the area of base in the equation (1).
[tex]V=\frac{1}{3} \pi r^{2}[/tex]
[tex]= \frac{1}{3} Bh[/tex]
Substitute the given values in the equation (1).
⇒ [tex]48\pi =\frac{1}{3} \pi r^{2} 36[/tex]
⇒ [tex]\frac{48\pi }{36\pi } =\frac{r^{2} }{3}[/tex]
⇒ [tex]\frac{12(3)}{9}=r^{2}[/tex]
⇒[tex]4=r^{2}[/tex]
⇒ [tex]r=2[/tex]
Thus, the radius of the cone is 2 inches.
Learn more about cone here- https://brainly.com/question/1315822 #SPJ2
Which rule represents the table's values?
A)
y = 3x + 1
y = 2x + 11
y = 3x - 1
y = 4x - 15
Answers
Answer:
There is no table given to match the values
what is 5374 rounded to the nearest 100
Answers
Answer:
5400
Step-by-step explanation:
evaluate the expression for p=2
81-p
Answers
Answer:
79
Step-by-step explanation:
substitute 2 in for p in the equation 81-2
solve. 81-2=79
On a coordinate plane, a line goes through (0, 4) and (2, 0). The first equation from the previous system of equations is graphed. Graph the second equation to find the solution of the system of equations. y = −2x + 4, y = − 1 3 x − 1 What is the solution to the system?
Answers
Answer:
{3,-2}
Step-by-step explanation:
ITS CORRECT
Answer: third option
Step-by-step explanation:
Add. 6 1/3 + 4 ¾ + 3 7/12 =
13 11/12
14 2/3
13 2/3
14 7/8
Answers
Answer:
14 2/3
Step-by-step explanation:
what three numbers multiply to get 158?
Answers
Answer:52.6
Step-by-step explanation:
Answer:
2x79=158
79x2=158
158x1
1 x (-4) - 8 x 9/-3
Answers
Answer: I'm sure it's 20
The width of a rectangle is 5 x minus 7.5 feet and the length is 7.5 x plus 8 feet. Find the perimeter of the rectangle. (help please :) )
Answers
Answer:
-2.5+(-2.5)+15.5+15.5=26
Step-by-step explanation:
26 i think
please help i’m so annoyed with this
Answers
Answer:
299 cm
Step-by-step explanation:
13*46÷2=299
Answer:
A = 299 cm^2
Step-by-step explanation:
The area of the triangle is
A = 1/2 bh
The base is 46 and the height is 13
A = 1/2 (46) 13
A =299
Find sin(a) in the triangle?
A.)12/35
B.)12/37
C.)35/12
D.)35/37
Answers
Answer:
12/37
Step-by-step explanation:
sin alpha = opposite side/ hypotenuse
sin alpha = 12/37
The walls and ceiling of a hotel room are to be painted. The floor is a 14-foot square and the ceiling is 8 feet high. Ignoring any doors or windows, what is the surface area of the walls and the ceiling to be painted
Answers
112 square feet no
Explanation
I just multiplied I remember solving it that way when I was in middle school
The total surface area to be painted in the hotel room is 644 square feet.
To calculate the surface area of the walls and the ceiling to be painted in a room, we separate the two calculations since the walls and the ceiling have separate dimensions. The floor of the room is a 14-foot square, which means that each side of the wall is 14 feet long. The ceiling also has the same dimensions as the floor. The room has a height of 8 feet.
The area of the ceiling is equal to the area of the floor since they are both squares with the same side length, which is calculated as follows:
Area of ceiling = Side length × Side length
Area of ceiling = 14 feet × 14 feet = 196 square feet
Next, we calculate the surface area of the walls. There are four walls in the room, and each wall has the same height of 8 feet. The wall area is calculated as follows:
Area of one wall = Side length × Height
Area of one wall = 14 feet × 8 feet = 112 square feet
Since there are four walls, total wall area = 4 × 112 square feet = 448 square feet
Finally, we add the area of the ceiling to the total wall area to get the total surface area to be painted:
Total surface area = Ceiling area + Wall area
Total surface area = 196 square feet + 448 square feet = 644 square feet
Therefore, the total surface area of the walls and ceiling of the room that will be painted is 644 square feet, ignoring any doors or windows.
A student is selected at random. What is the probability, as a decimal rounded to the nearest
thousandth, that the selected student is going on the field trip given that the student is an eleventh
grader?
Answers
Answer:
0.245
Step-by-step explanation:
Probability is the chance or likelihood that an event will occur.
Probability = Expected outcome of event/Total outcome of event
Since we are to find the probability that the selected student is going on the field trip given that the student is an eleventh
grader;
The expected outcome of event will be 13 as located on the table.
Total outcome of event will be the total number of students that went for the field trip.
Total outcome = 12+9+13+19
Total outcome of event = 53
Probability = 13/53
Probability = 0.245(to nearest thousandth)
Sean says that to add a number to –100 and still have –100 is to add zero. Candice says that she can add two numbers to –100 and still have –100. Who is correct and why?
Answers
Answer:
Step-by-step explanation:
Candice is correct because you can add 1 to -100 and get -99
then add -1 to -99 and you would get -100
Answer:
They are both correct
Step-by-step explanation:
hope this helps
PLEASE HELP FAST
What is the total surface area of the square pyramid below?
A. 100 cm2
B. 200 cm2
C. 280 cm2
D. 380 cm2
Answers
Answer:
10(10) + 4(1/2)(10)(14) = 100 + 280 = 380 cm²
The correct answer is D.
A cathedral has a large, circular stained-glass window. A visitor measures the window and calculates that it has an area of 50.24 square feet. What is the window's circumference?
Use 3.14 for .
Answers
Answer:
25.133
Step-by-step explanation:
area is pi*r^2. divide area by 3.14 and then sqrt to find radius. 6.28*radius= circumference, so 6.28*4=25.133
Answer:
25.12
Step-by-step explanation:
1. Use the formula for the area of a circle to find the radius
[tex]A=\pi r^2[/tex]
[tex]50.24=\pi r^2[/tex]
[tex]16=r^2[/tex]
[tex]\sqrt{16} =r[/tex]
[tex]4=r[/tex]
2. Use this value to find the circumference
[tex]C=2\pi r[/tex]
[tex]C=2\pi 4[/tex]
[tex]C=2(12.56)[/tex]
[tex]C=25.12[/tex]
5x + 8 = 2x + 14
Need a little bit of help would be thankful xxx
Answers
Answer: x = 2
Step-by-step explanation: 5x + 8 = 2x + 14
5x + 8 - 2x = 2x + 14 - 2x
3x + 8 - 8 = 14 - 8
3x = 6
3x/3 = 6/3
x = 2
For this problem, x would equal 2.
x=2
-Dhruva;)
Find the distance between the points (10, 12) and (10, -8).
units
Answers
pt1= (10,12)
pt2= (10,-8)
_________________
distance = √ (x1 - x2)² + (y2 - y1)²
_________________
=√ (0)² + (-20)²
______
=√400
=20 units
Answer:
Step-by-step explanation:
pls help! will give brainlist!
find each angle measure in the regular polygon
a. 144°
b. 135°
c. 180°
d. 140°
Answers
A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144°
=====================================================
Work Shown:
E = exterior angle
n = number of sides
For any regular polygon, E = 360/n.
In this case, n = 10 as there are 10 sides, so E = 360/n = 360/10 = 36 degrees is the measure of each exterior angle.
Each interior angle is 180-E = 180-36 = 144 degrees
--------------
An alternative is to plug n = 10 into the formula below to get the measure of each interior angle i
i = 180(n-2)/n
i = 180(10-2)/10
i = 180(8)/10
i = 1440/10
i = 144
note: S = 180(n-2) is the sum of all the interior angles of any convex polygon. Dividing this sum over n will evenly divide the angle total to each interior angle.
Which is a factor of x2 - 9x + 14?
X-9
x-2
x + 5
X +7
ANSWER
x-2
b
Answers
Answer:
(x - 2)
Step-by-step explanation:
Given
x² - 9x + 14
Consider the factors of the constant term (+ 14) which sum to give the coefficient of the x- term (- 9)
The factors are - 2 and - 7, since
- 2 × - 7 = + 14 and - 2 - 7 = - 9, thus
x² - 9x + 14 = (x - 2)(x - 7) ← in factored form
Thus (x - 2) is a factor of the expression