The function form of the given function would be [tex]f(x)=log_b(x)[/tex].
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The given function is f(x) = logbx.
So the function form would be the function of x is equal to the logarithmic of x having base b.
so this can be written as
[tex]f(x)=log_b(x)[/tex]
Hence, the function form of the given function would be [tex]f(x)=log_b(x)[/tex].
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The function form of the given function would be [tex]f(x)=log_b(x)[/tex].
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The given function is f(x) = logbx.
So the function form would be the function of x is equal to the logarithmic of x having base b.
so this can be written as
[tex]f(x)=log_b(x)[/tex]
Hence, the function form of the given function would be [tex]f(x)=log_b(x)[/tex].
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A rectangle has 4 lines of symmetry.
true or false
Is he correct? Explain why or why not.
Answer:
I think he's correct
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
He has to multiply the exponents not add them.
Do the ratios 5/15 and 1/3 form a proportion?
Answer:
Step-by-step explanation:
We will check if 5/15 and 1/3 are in proportion or not by cross-multiplication.
5/15 = 1/3
5*3 = 15*1
15 = 15
as the left-hand side is equal to the right side. So, these fractions are in proportion.
[tex]\blue{\boxed{\boxed{\sf\blue{HELP ME PLEASE}}}}[/tex]
Answer:
The completed two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. AC bisects ∠A and ∠C [tex]{}[/tex] 1. Given
2. ∠ACB ≅ ∠ACD [tex]{}[/tex] 2. Definition of bisector
3. ∠BAC ≅ ∠DAC [tex]{}[/tex] 3. Definition of bisector
4. [tex]\overline {AC}[/tex] = [tex]\overline {AC}[/tex] [tex]{}[/tex] 4. Reflexive PE
5. [tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex] [tex]{}[/tex] 5. Segments with equal lengths are congruent
6. ΔABC ≅ ΔADC [tex]{}[/tex] 6. By ASA
Step-by-step explanation:
The completed two column proof is presented as follows;
Statement [tex]{}[/tex]
1. AC bisects ∠A and ∠C; The given data on the figure
2. ∠ACB ≅ ∠ACD;[tex]{}[/tex] A bisected angle is divided into two equal angles which are congruent to each other
3. ∠BAC ≅ ∠DAC [tex]{}[/tex] 3. Definition of bisector
4. [tex]\overline {AC}[/tex] = [tex]\overline {AC}[/tex] [tex]{}[/tex] 4. Reflexive Property of Equality (PE)
5. [tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex] [tex]{}[/tex] 5. Segments with equal lengths are congruent
6. ΔABC ≅ ΔADC [tex]{}[/tex] 6. By Angle-Side-Angle, ASA, is a condition for congruency of two triangles
Where two angles and the included side between the two angles on one triangle are equal to two angles and the included side between the two angles on another triangle, the two triangles are said to be congruent by the Angle-Side-Angle ASA rule and therefore, they each have equal measures for all corresponding angles sides.
If a mom has 3 kids who are 18, 16, and 26 how old is the mother
and how old was she when she gave birth
30 POINTS BEST ANSWER WILL GET BRAINLIEST
Answer:
Step-by-step explanation:
If the firstborn arrived 26 years ago, his mother's age was likely between 20 and 30 years old when she gave birth. Her current age is likely between 46 and 56 years.
I need help please thx God bless you
Answer:
A. 3/4 or .75
B. 5/6 or .83333
C. 11/12 or .91667
D. 1/20 or .05
Step-by-step explanation:
A. 1/2 + 1/4 = 3/4 or .75
B. 1/2 + 1/3 = 5/6 or .83333
a. 1/4 + 2/3 = 11/12 or .91667
b. 1/4 - 1/6 = 1/20 or .05
Solve correctly for brainly
Answer:
y=4x+26
Step-by-step explanation:
x intercept =( [tex]\frac{- 13}{2} \\[/tex], 0)
y intercept = (0,26)
A bag contain 27 ball. The ratio of red to blue to yellow ball i 6:1:2 find how many red, blue and yellow ball there are
On solving the provided question we can say that by linear equation number of, Red Balls = 6x 18; Blue Balls = 3; Yellow Balls = 6
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
A bag contains 27 balls
• The ratio of red to blue to yellow balls is 6:1:2
To Find : The number of red,blue and yellow balls present in the bag
Let us take the variable as 'x' to represent the number of balls in the bag
When we Put the values in a equation,
6X+X+2x = 27
9x = 27
x = 3
Hence the number of,
Red Balls = 6x 18
Blue Balls = 3
Yellow Balls = 6
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The area of a rectangle is 342 square units. Its length measures 19 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.
pen
Answer:
Step-by-step explanation:15.6
If the 13th term in a linear sequence is 92 and the 28th term in the sequence is
152, what is the 6th term in the sequence?
Answer:
64
Step-by-step explanation:
As the sequence is linear the rate of increase stays constant as we can see from the formula: [tex]S_n=mn+i[/tex] so it increases by m every term. In this all we do is subtract 13 from 28 to find the number of terms in between:
28-13=15
now we find the difference between 152 and 92
152-92=60
now we divide 60 and 15
60÷15=4
So M is 4 meaning every term has a difference of 4.
So now we can subtract 6 from 13:
13-6=7
Then multiply the difference per term (4) by 7
4×7=28
Finally we subtract 28 from 92 (13th terms value)
92-28=64
6. Six people are running a race. In how
many different ways can they finish first and
second?
A. 2
B. 12
C. 30
D. 36
Answer:
a
Step-by-step explanation:
Answer:
a2
Step-by-step explanation:
A train moving at a constant speed travels 325 mi in 8 hr. At this rate, how many miles does the train travel in 12 hr?
ANSWER ASAP!!!
Answer:
Step-by-step explanation:
In 12 hours, the train will travel 487.5 miles
8/325=40.625
40.625 x 12 = 487.5
Sammies room is 20 feet long and 12 feet wide her parents want to cover the floor with tiles. If they choose to use tiles with with side 2 feet long how many tile would they need
Find the area of the room by multiplying the length by the width:
Area of room = 20 x 12 = 240 square feet.
Find the area of the tile: 2x 2 = 4 square feet.
To find the number of tiles divide the area of the room by the area of a tile:
240/4 = 60
They will need 60 tiles.
Answer:
120
Step-by-step explanation:
20*12=240
240/2=120
roma selects cards from a standard of 52 cards. Once a card is selected, it is not replaced. Find the probability of each outcome.
a. a king of heart
b. a queen of spades
c. an ace of flower
d. an ace of diamond
Given:
A card is selected randomly from a standard deck of 52 cards.
To find:
The probability of each outcome.
a. a king of heart
b. a queen of spades
c. an ace of flower
d. an ace of diamond
Solution:
In a standard deck of 52 cards.
Total number of cards = 52
13 cards of each suit (heart, diamond, club, spade).
13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.
a. We need to find the probability of getting a king of heart.
Number of king of heart = 1
[tex]P(\text{a king of heart})=\dfrac{\text{Number of king of heart}}{\text{Total cards}}[/tex]
[tex]P(\text{a king of heart})=\dfrac{1}{52}[/tex]
b. We need to find the probability of getting a queen of spades.
Number of queen of spades = 1
[tex]P(\text{a queen of spades})=\dfrac{\text{Number of queen of spades}}{\text{Total cards}}[/tex]
[tex]P(\text{a queen of spades})=\dfrac{1}{52}[/tex]
c. We need to find the probability of getting an ace of flower (spades).
Number of ace of flower = 1
[tex]P(\text{an ace of flower})=\dfrac{\text{Number of ace of flower}}{\text{Total cards}}[/tex]
[tex]P(\text{an ace of flower})=\dfrac{1}{52}[/tex]
d. We need to find the probability of getting an ace of diamond.
Number of ace of diamond = 1
[tex]P(\text{an ace of diamond})=\dfrac{\text{Number of ace of diamond}}{\text{Total cards}}[/tex]
[tex]P(\text{an ace of diamond})=\dfrac{1}{52}[/tex]
Therefore, the required probabilities for each parts are:
(a) [tex]\dfrac{1}{52}[/tex]
(b) [tex]\dfrac{1}{52}[/tex]
(c) [tex]\dfrac{1}{52}[/tex]
(d) [tex]\dfrac{1}{52}[/tex]
The probabilities for each of the given selections are;
A) 1/52
B) 1/52
C) 1/52
D) 1/52
What is the Probability?A) Since total number of cards in the deck is 52 and there is only one king of heart, then;
Probability of selecting a king of heart = 1/52
B) Since total number of cards in the deck is 52 and there is only one queen of spades, then;
Probability of selecting a queen of spade = 1/52
C) Since total number of cards in the deck is 52 and there is only one ace of flower, then;
Probability of selecting an ace flower = 1/52
D) Since total number of cards in the deck is 52 and there is only one ace of diamond, then;
Probability of selecting am ace of diamond = 1/52
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please help i need this in asap!!!!!!!
Answer:
366.16
Step-by-step explanation:
area to paint = (10 x 6 x 2) + (10 x 2 x 2) + (6 x 2 x 2) = 184 m²
184 x 1.99 = 366.16
put the following equation in slope intercept form: -4x -5y=-10
A submarine must descend at an average rate of at least 12 feet per minute for 5 minutes. The table shows how many feet the submarine descends
in the first 4 minutes. How many feet must the submarine descend in the fifth minute?
Submarine must descend 17 feet in the 5th minute.
What is the average of the data?
Only numerical variables, whether continuous or discrete, can be used to calculate the mean. It is calculated by merely dividing the total number of values in a data set by the sum of all the values in the data set. A frequency table of data or raw data can both be used for the calculation.
Let the distance descended by submarine in 5th minute = x feet
Average distance descended by the submarine
= (Total distance distended/ Duration or time)
= (6 + 8 + 14 + 15 + x) / 5
= (43 + x) / 5
Statement given in the question → "Submarine must descend at an average rate of at least 12 feet per minute"
So the inequality for the statement will be,
(43 + x) / 5 ≥ 12
43 + x ≥ 60
x ≥ 17
Therefore, submarine must descend 17 feet in the 5th minute.
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if 15 mL of glue is needed to make 6 oz. of slime, how many mL of glue is needed to make 10 oz. of slime
Answer:
25mL
Step-by-step explanation:
15/6=2.5ml/oz
10x2.5=25mL
PLEASE HELP NOW IM BEGGING AND PLEADING PLEASE AND THANK YOU
Linear sequences & graphs 206 - Straight line graphs 1 Quiz 1 2 3 4 5 6 7 8 6 of 8 Use the table to work out the values of a , b , c , and d . x y = 5 − 3 x − 3 a − 2 11 − 1 b 0 5 1 c 2 d a = b = c = d =
The values of a, b, c and d are -5, -1, 3 and 5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is y=2x+1
Substitute (-3, a) in y=2x+1, we get
a=2(-3)+1
a=-6+1
a=-5
Substitute (-1, b) in y=2x+1, we get
b=2(-1)+1
b=-1
Substitute (1, c) in y=2x+1, we get
c=2(1)+1
c=3
Substitute (2, d) in y=2x+1, we get
d=2(2)+1
d=5
Therefore, the values of a, b, c and d are -5, -1, 3 and 5.
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"Your question is incomplete, probably the complete question/missing part is:"
Use the table to work out the values a, b, c and d.
x y=2x+1
-3 a
-2 -3
-1 b
0 1
1 c
2 d
Find the commission on a 1,250 sale with a commission rate of 5%.
Please help only if you know it and please explain the answer
The commission on the sale would be $62.5
To find the commission on a sale, you can use the following formula:
Commission = Sale Amount x Commission Rate
Sale Amount: the total value of the sale
Commission Rate: the percentage or decimal value of the commission rate (e.g. 5% = 0.05)
The commission on a sale can be calculated by multiplying the total sale amount by the commission rate.
In this case, the commission on a 1,250 sale with a commission rate of 5% would be:
= 1,250 x 0.05
= 62.5
So the commission on the sale would be $62.5
It's also worth noting that commission rate is given as a decimal and not a percentage. 5% is 0.05 as decimal.
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someone pls help :(
Hays is standing outside on a sunny day. he is 6 ft tall and casts a 4 ft shadow. what is the distance from the top of hays's head to the end of his shadow? round to the nearest tenth, if necessary. responses
a. 4.5 ft
b. 4.5 ft
c. 5 ft
d. 5 ft
e. 7.2 ft
f. 7.2 ft
g. 10 ft
Options e and f is the correct answers. The distance from the top of hays' head to the end of his shadow is 7.21ft
Hays' body and his shadow are perpendicular.
So if we imagine the line from the top of his head to the end of his shadow on the ground, we have a right triangle, and the imaginary line is the hypotenuse.
Then you can stand back and let Pythagoras figure out the length of the line for you, using c² = a² + b²
(Distance)²=(Hay's height)²+(length of his shadow)²
(Distance)²=(6 ft)² + (4 ft)²
(Distance)²=(36 ft²) + (16 ft²)
(Distance)=52 ft²
Distance =√(52 ft)²
Distance = 7.21 ft
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heyy! i’ll give brainliest help asap pls
Answer:
I'm not sure if its A or C but C sounds like it could be the right answer
Step-by-step explanation:
Answer: Planting vegations near riverbanks
Step-by-step explanation:
because everything else is harmful to the earth .-.
6 is what percent of 88?
Answer:
6 is 6.82% of 88
Sophie enjoys running on the indoor track. Yesterday Sophie ran a certain number of laps on the track. Today she ran four times as far. She ran 20 laps today. How far did Sophie run on the track yesterday?
help please i really need help
Answer:$ 1341.99
Step-by-step explanation: Hope its helps
Y+W-2asquared
W=400 a=5 work out the value of y
A student buys 10 notebooks and 10 pencils at the school store. Each notebook cost $2. The total cost is $30. Which equation can be used to find the cost, p, of each pencil?
write an equation for a line passing through the point (1, 3) that has a slope of -2
Given :
A line passing through the point (1, 3) that has a slope of -2.
To Find :
The equation of such line.
Solution :
Let, the equation of line is :
y = mx + c
Here, m is slope i.e m = -2 and c is y-intercept.
So,
y = -2x + c
It is also given that the line passes through (1, 3).
3 = -2× 1 + c
c = 5
Therefore, the equation of line is y = -2x + 5 .
The lengths of the four sides of a quadrilateral (in centimeters) are consecutive even integers. If the perimeter is 132 centimeters, find the value of the shortest of the four side lengths.
The value of the shortest of the four side lengths of the quadrilateral is 30 cm
What is the length of the shortest side of the quadrilateral?The perimeter of a quadrilateral is the sum of all the sides.
Perimeter of the Quadrilateral = 132 centimeters
Let
The shortest side = x
Since, the sides are consecutive even integers;
Second side = (x + 2)
Third side = (x + 4)
Fourth side = (x + 6)
Perimeter of the Quadrilateral = shortest side + Second side + Third side + Fourth side
132 = x + (x + 2) + (x + 4) + (x + 6)
132 = x + x + 2 + x + 4 + x + 6
132 = 4x + 12
132 - 12 = 4x
120 = 4x
divide both sides by 4
x = 120/4
x = 30 centimeters
Therefore,
Second side = (x + 2)
= 30 + 2
= 32 cm
Third side = (x + 4)
= 30 + 4
= 34 cm
Fourth side = (x + 6)
= 30 + 6
=36 cm
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