The expression results when the change of base formula is [tex]\rm \dfrac{log(x+2)}{log4}[/tex].
We have to determine
Which expression results when the change of base formula is applied to log Subscript 4 Baseline (x + 2)?
What is logarithmic property?The logarithm of a product as a sum of logarithms, the log of the quotient as a difference of log, and log of power as a product.
The base change formula is;
[tex]\rm loga_x= \dfrac{log_bx }{log_ba}\\\\[/tex]
The expression results when the change of base formula is applied to log Subscript 4 Baseline (x + 2) is;
[tex]\rm = log_4(x+2)\\\\=\dfrac{log(x+2)}{log4}[/tex]
Hence, the expression results when the change of base formula is [tex]\rm \dfrac{log(x+2)}{log4}[/tex].
To know more about base property click the link given below.
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Mr. Quick bought a new computer system. The regular price was $1580, but he got 40% off. What is the discount
Answer: The discounted price is $948. The value of the discount itself is $632.
Step-by-step explanation:
To calculate discounts, you multiply the percentage of the discount as a decimal with the price of the product.Use the drawing tools to form the correct answers on the graph.
Plot all the integer coordinate pairs in the inverse relationship y=100/x that appear on the graph.
Answer:
(4, 25) (5, 20) (10, 10)
Step-by-step explanation:
Please see attached for graph.
Integer coordinate pairs (using the restrictions of the axis):
(4, 25) (5, 20) (10, 10)
How many cubes with side lengths of 1/3 does it take to fill the prism?
5/3 x 4/3 x 2
Answer:
5 cubes by 4 cubes by 6 cubes
Step-by-step explanation:
Vp = 5/3 * 4/3 * 2 = 40/9 in^3.
Vc = (1/3)^3 = 1/27 in^3.
Vp/Vc = (40/9)/(1/27) = 40/9 * 27/1 = 120 Cubes.
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Are the images convex or concave polygons?
Answer:
concave polygones
Step-by-step explanation:
Sparky the Bear is atop a 100 foot tower. He is looking out over a fairly level area for careless people who might start fires. Suddenly, he sees a fire starting. He marks down the direction of the fire, but he also needs to know how far away the tower is from the fire.
The distance of sparky to the fire is 99.445 feet
Application of SOH CAH TOA identity
Given the following parameters
The angle of depression = 6 degrees
If Sparky is looking over the fairly level, hence the hypotenuse is 100 foot
Required
Distance from spark tower to the fire
Using the expression below
Cos 6 = D/100
D = 100cos6
D = 100(0.9945)
D = 99.45foot
Hence the distance of sparky to the fire is 99.445 feet
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
Emma started with a number, multiplied by 3, subtracted 7, divided by 2, and added 16 for a total of 74. With which number did Emma begin?
**PLS HELP! I WILL GIVE BRAINLIEST! :)**
Answer:
135 in 3 hours = 45miles per hour
22 miles in 1/2 an hour = 44 miles per hour
7.5 miles in 1/4 hour = 30 miles per hour
id k ab the last one soz
Step-by-step explanation:
sorry if these arent the answers your looking for, but its what i assumed they were!!
PLS HELPP ASAP!!
Rotate the triangle clockwise about the origin 270 degrees
Answer:
A: (-7, 2)
B: (-4, 2)
C: (-3, 7)
Step-by-step explanation:
So a little tip! 270 degrees clockwise is the same as 90 degrees counter clockwise!! (and vice versa)
90 degrees counter-clockwise would switch all the coordinates from (x,y) to (-y,x)
answerr please :))))
Answer:
20
Step-by-step explanation:
substitute 5 for 'x':
6(5) - 2(5) = 30-10 = 20
how did you do 8 1/2 * 11 what are the steps in solving that?
pls give a brief understanding.
Answer:
Step-by-step explanation:
1. Simplify the expression
8 1/2= 81/2
81/2 * 11
Multiply the fractions:
81/2 * 11
basically (81 * 11)
which turns into 891/2
Then you simplify from there!
Help me with this please!!!!
Answer:
[tex]y = 2[/tex]
Step-by-step explanation:
since on a horizontal line which means y axis and the sllope line is on 2
If a triangle has side lengths of 10,12,and 15 units what type of triangle is it
Answer:
Acute
Step-by-step explanation:
Since c^2<a^2+b^2, it is an acute triangle.
100+144<225
Joseph has cards with different colors on them. He sorts the cards and determines that 6% of the colors on the cards are red. Joseph has 9 red cards.
How many cards are there in all?
Select from the drop-down menu to correctly complete the sentence.
Joseph has ______ cards.
Answer:
The answer is 150 cards.
The explanation is shown in the picture.
I hope this helps!
Answer:
Joseph has 150 cards
How to solve integration using a partial fraction?.
Question 3 (Essay Worth 10 points)
(05.04 MC)
Circle A has a diameter of 9 inches, a circumference of 28.26 inches, and an area of 63.585 square inches. The diameter of circle B is 5 inches, the circumference is 15.70
inches, and the area is 19.625 square inches..
Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)
Part C: What observation can you make about the value of pi for circles A and B? (2 points)
Step-by-step explanation:
area of a circle
A = pi × r²
circumference of a circle
C = 2 × pi × r
r = diameter / 2 (the radius is half of the diameter)
circle A
A = 63.585 = pi × 4.5² = pi × 20.25
pi = 63.585 / 20.25 = 3.14
C = 28.26 = 2 × pi × 4.5
pi = 28.26 / (2 × 4.5) = 28.26 / 9 = 3.14
circle B
A = 19.625 = pi × 2.5² = pi × 6.25
pi = 19.625 / 6.25 = 3.14
C = 15.7 = 2 × pi × 2.5
pi = 15.7 / (2 × 2.5) = 15.7 / 5 = 3.14
pi is always the same for every circle of any size. it is a natural constant defining the circumference and area of every circle in relation to the actual radius or diameter.
4 cm
4 cm
A square-shaped canvas painting was enlarged by adding a 4-centimeter wide decorative frame to the length and width of the canvas. If the area
of the framed painting is 625 square centimeters, what is the side length of the bare canvas?
O A
17 centimeters
OB.
19 centimeters
O c.
21 centimeters
OD
25 centimeters
Let that be x
Now
[tex]\\ \rm\Rrightarrow (x+4+4)^2=625[/tex]
[tex]\\ \rm\Rrightarrow x+8=25[/tex]
[tex]\\ \rm\Rrightarrow x=25-8[/tex]
[tex]\\ \rm\Rrightarrow x=17[/tex]
x is old cube's side before enlargement x+8 is side length after enlargementOption A
Answer:
17 centimetres
A square has all sides similar.
area of square = side²
Let the original length be xwhen increased, one side new length → x + 4 + 4 → x + 8solve:
(x + 8)² = 625
x + 8 = √625
x + 8 = 25
x = 25 - 8
x = 17
ahmet has a limited weekly income of $18 and he spends it all on books and good deed assume the price of each book is four dollars in the price of good Ds one dollar per unit
Answer:
answer is $12 because when u divide total number of income by the price of the good Ds
I don't understand this please help me
Find the equation of the line that has a slope of 2
and passes through the point (1, 7).
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{7})\qquad \qquad \stackrel{slope}{m}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{2}(x-\stackrel{x_1}{1}) \\\\\\ y-7=2x-2\implies y=2x+5[/tex]
Please answer fast! (100 points)
Answer:
6
Step-by-step explanation:
108/18 = 6
72/12 = 6
30/5 = 6
Answer:
6
Step-by-step explanation:
if you divide each equation you can see they each get 6 for example 30/5 is 6 and so on so, therefore, the proportional relationship is 6 I hope that made sense
A photograph has an area of 50 square inches and a perimeter of 30 inches. What are the dimensions of the photograph
Answer: The dimensions are that 2 sides are 5 inches and two are 10 inches.
Step-by-step explanation:
The are is 50 so the dimensions should equal 50 when you do height times width. So 5*10=50 and 5+5+10+10=30
What is the solution to the system of equations represented by these two lines?
Question 2 options:
(2, 3)
(0, 4)
(3, 2)
(3, 0)
Answer:
(3, 2)
Step-by-step explanation:
The solution to the system of equations is (3, 2)
Hope this helps!
Answer:
(2, 3)
----------________-------------
Zack’s classroom has a carpet that is 2/3 of the classroom long and 3/4 of the classroom wide. How much of the classroom area does the carpet take up?
*Note that:
[tex] \boxed{ \sf \: area \: of \: rectangle = length \times breadth}[/tex]
Now,
Length = 2/3 (Given)Width = 3/4 (Given)Solve ;
[tex] \tt \implies \: area = \frac{2}{3} \times \frac{3}{4} [/tex]
[tex] \tt \implies \: area = \frac{2 \times 3}{3 \times 4} [/tex]
[tex] \tt \implies \: area = \frac{6}{12} = \frac{1}{2} [/tex]
➪ Thus, The carpet takes up 1/2 unit² area of the classroom...~
Answer:
1/2 or half of the classroom area
Step-by-step explanation:
Step 1: Calculating area of carpet
Let total length be l and width be w.
Now, according to the problem,
Area = 2l/3 x 3w/4
= 2lw/4
Step 2: Take area of carpet and area of classroom as a ratio
(2lw/4) / lw
= 2/4
= 1/2
Therefore, the carpet takes up 1/2 or half of the classroom area.
Find the range of the data set shown in the table below. Data Set C 1.75 0.64 0.82 1.19 1.6 Answer: Submit Answer
Answer: 1.11
Step-by-step explanation:
To find the range of the data set all you have to do is subtract the higher number with the lowest number, so in this math problem, we will take 1.75- 0.64 and we get 1.11 :]
The function below describes the relationship the height H and the width W of a rectangle with area 75 sq. units. H(w)= 75/w what is the domain of the function right answer gets Brainly
The domain of the function is w > 0
How to determine the domain?The function is given as:
H(w) = 75/w
For the function to have a real value, the value of w cannot be 0
i.e.
[tex]w \ne 0[/tex]
Also, the value of w cannot be negative because width cannot be negative
This means that the possible values of w are greater than 0
Hence, the domain of the function is w > 0
Read more about domain at:
https://brainly.com/question/1770447
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s √(x) – 7 a polynomial? Explain why or why not.
Answer:
polynomial is a combination of terms separated using
+
or
−
signs. Polynomials cannot contain any of the following:
1. Variables raised to a negative or fractional exponent. (Variables in the denominator. (
1
4. Special features. (trig functions, absolute values, logarithms,
Remove parentheses.
Determine if the expression breaks any of the rules.
Does not break any of the rules
Determine if the expression is a polynomial
Step-by-step explanation:
please mark me as brainlist please I
A room has a length of 3.5 ft and a width of 5 feet. What is the area and perimeter of the room?
Answer:
17 feet
Step-by-step explanation:
add up all the sides. 3.5+3.5+5+5=17
Answer:
A = 17.5
P = 17
Step-by-step explanation:
A = (b)(h) length and width is same as base and height
A = 3.5(5)
A = 17.5
P = 2(3.5) + 2(5)
P = 7 + 10
P = 17
Given the function g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true conceming these two values The value of g(2) is larger than the value of g(-4). The value of g(2) is smaller than the value of g(-4). The value of g(2) is the same as the value of g(-4) O The values of g(2) and g(-4) cannot be compared
Answer: The value of g(2) is larger than the value of g(-4).
Step-by-step explanation:
how to solve x+23.4=40.7
Answer:
[tex]x=17.3[/tex]
Step-by-step explanation:
Given the following question:
[tex]x+23.4=40.7[/tex]
To solve, we need to understand that this is a simple one-step equation and all we have to do to find the answer is subtract 23.4 on both sides.
[tex]x+23.4=40.7[/tex]
[tex]23.4-23.4=0[/tex]
[tex]40.7-23.4=17.3[/tex]
[tex]x=17.3[/tex]
Hope this helps.
a telephone pole is supported by a guy wire. How tall is the telephone pole in feet? Round to the nearest tenth if necessary.
